Question 1 :
A body sitting on the topmost berth in the compartment of a train which is just going to stop on a railway station, drops an apple aiming at the open hand of his brother sitting vertically below his hands at a distance of about <img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/NEET/5e9178e367ed907b153d2a45">. The apple will fall
Question 3 :
If a person with a spring balance and a body hanging from it goes up and up in an aeroplane, then the reading of the weight of the body as indicated by the spring balance will
Question 5 :
In an air collision between an aeroplane and a bird, the force experienced by the bird as compared to that of the aeroplane is
Question 6 :
A block compartment containing gas is moving with some acceleration in horizontal direction. Neglect effect of gravity. Then the pressure in the compartment is
Question 7 :
For ordinary terrestrial experiments, the observer in an inertial frame in the following cases is
Question 8 :
The motion of a rocket is based on the principle of conservation of
Question 9 :
A man is standing at a spring platform. Reading of spring balance is <img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/NEET/5e917a5c1a95347cde4a1133">. If man jumps outside platform, then reading of spring balance
Question 12 :
The spring balance inside a lift suspends an object. As the lift begins to ascent, the reading indicated by the spring balance will
Question 13 :
Which of the following is correct, when a person walks on a rough surface
Question 17 :
A box is lying on an inclined plane what is the coefficient if static friction if the box starts sliding when an angle of inclination is <img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/NEET/5e9177571a95347cde4a0e4c">
Question 18 :
A box is placed on an inclined plane and has to be pushed down. The angle of inclination is
Question 21 :
If the normal force is doubled, the coefficient of friction is
Question 24 :
A light spring balance hangs from the hook of the other light spring balance and a block of mass <img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/NEET/5e917b1767ed907b153d2cd2"> hangs from the former one. Then the true statement about the scale reading is
Question 25 :
A student unable to answer a question on Newton’s law of motion attempts to pull himself up by tugging on his hair. He will not succeed
Question 26 :
When a horse pulls a wagon, the force that causes the horse to move forward is the force
Question 27 :
A pendulum bob of mass 50 g is suspended from the ceiling of an elevator. The tension in the string if the elevator goes up with uniform velocity is approximately
Question 28 :
Consider the following statements about the blocks shown in the diagram that are being pushed by a constant force on a frictionless table<br> <img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/NEET/5e917c3a1a95347cde4a1433"><br> A. All blocks move with the same acceleration<br> B. The net force on each block is the same<br> Which of these statements are/is correct
Question 29 :
Which of the following quantities measured from different inertial reference frames are same
Question 31 :
To avoid slipping while walking on ice, one should take smaller steps because of the
Question 32 :
A ball of mass 0.2 kg is thrown normally against a wall with a speed of <img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/NEET/5e917b56313cbb7c3feadfb2">. The impulse of the force by the ball on the wall is
Question 33 :
When a bus suddenly takes a turn, the passengers are thrown outwards because of
Question 34 :
Which one of the following is not used to reduce friction
Question 36 :
A motor cycle and a car are moving on a horizontal road with the same velocity. If they are brought to rest by the application of brakes, which provided equal retardation, then
Question 37 :
A person is standing in an elevator. In which situation he finds his weight less:-
Question 38 :
A body floats in a liquid contained in a beaker. If the whole system as shown in figure falls freely under gravity, then the upthrust on the body due to liquid is<br> <img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/NEET/5e917b4d67ed907b153d2d29">
Question 39 :
In the motion of a racket, physical quantity which is conserved is
Question 40 :
It is easier to roll a barrel than pull it along the road. This statement is
Question 41 :
A rider on horse back falls when horse starts running all of a sudden because
Question 42 :
A person is sitting in a travelling train and facing the engine. He tosses up a coin and the coin falls behind him. It can be concluded that the train is
Question 43 :
When a train stops suddenly, passengers in the running train feel an instant jerk in the forward direction because
Question 44 :
A person is standing in an elevator. In which situation he finds his weight less than actual weight
Question 45 :
If the resultant of all the external forces acting on a system of particles is zero, then form an inertial frame, one can surely say that
Question 46 :
A shell initially at rest explodes into two pieces of equal mass, the two pieces will
Question 48 :
If two particles collide at constant temperature then which of the following is conserved?
Question 49 :
An aircraft is moving with velocity of<img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/NEET/5e917c2767ed907b153d2ea0">. If all the forces acting on it are balanced, then
Question 50 :
A rocket is propelled by a gas which is initially at a temperature of <img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/NEET/5e917c111a95347cde4a13ed">. The temperature of the gas falls to <img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/NEET/5e917c11313cbb7c3feae0e4">as it leaves the exhaust nozzle. The gas which will acquire the largest momentum while leaving the nozzle, is
Question 51 :
A box has to be moved from point A to point B. Which is the easiest way to move it?
Question 52 :
If the normal force is doubled the co-efflcient of friction is
Question 53 :
A car has to move on a level turn of radius $45m$. If the coefficient of static friction between the tyre and the road is $\mu_s = 2.0$, find the maximum speed the car can take without skidding.
Question 54 :
A boy, sitting on the topmost birth in the compartment of a train which is just going to stop on the railway station, drops an apple aiming at the open hand of his brother situated vertically below his own hand at a distance of {tex} 2 \mathrm { m } . {/tex} The apple will fall
Question 55 :
A particle is moving with a constant speed along a straight line path. A force is not required to
Question 56 :
Which of the following statements is NOT true for friction force?
Question 57 :
A second’s pendulum is mounted in a rocket. Its period of oscillation decreases when the rocket
Question 58 :
State whether the given statement is true or false:<div>Fluid friction is more than solid friction.</div>
Question 59 :
A cricket ball of mass 0.25 kg with speed 10 m/s collides with a bat and returns with same speed with in 0.01 s. The force acted on bat is
Question 61 :
In a rotor, a hollow vertical cylindrical structure rotates about its axis and a person rests against the inner wall. At a particular speed of the rotor, the floor below the person is removed and the person hangs resting against the wall without any floor. If the radius of the rotor is 2 m and the coefficient of static friction between the wall and the person is 0.2, find the minimum speed at which the floor may be removed. ( Take g =10 $m/s^{2}$)
Question 63 :
A block of mass 4 kg is kept on a rough horizontal surface. The coefficient of static friction is 0.8. If a force of 19 N is applied on the block parallel to the floor, then the force of friction between the block and floor is
Question 64 :
A particle is moving along a circular path in the {tex} x y {/tex} plane (see figure). When it crosses the {tex} x {/tex} -axis, it has an acceleration along the path of {tex} 1.5 \mathrm { m } / \mathrm { s } ^ { 2 } {/tex}, and is moving with a speed of {tex} 10 \mathrm { m } / \mathrm { s } {/tex} in thenegative {tex} y {/tex} -direction. The total acceleration of the particle is:<br><img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/NEET/5e1020c2de596850506e36d4">
Question 65 :
A block of mass $1\ kg$ lies on a horizontal surface in a truck, the coefficient of static friction between the block and the surface is $0.6$. What is the force of friction on the block if the acceleration of the truck is $5\ m/s^{2}$ ?<br>(Take $g=10\ m/s^{2}$)
Question 66 :
A body of mass $2$ kg is slipping on a frictionless horizontal table with a velocity of $4$ m/s. The necessary force in newton to keep the body moving with the same velocity will be:
Question 67 :
A body is moving along a rough horizontal surface with an initial velocity of $10 {ms}^{-1}$. If the body comes to rest after travelling a distance of $12 m$, then the coefficient of sliding friction will be
Question 68 :
One end of string of length {tex} l {/tex} is connected to a particle of mass 'm' and the other end is connected to a small peg on a smooth horizontal table. If the particle moves in circle with speed'v' the net force on the particle (directed towards centre) will be<br>(T represents the tension in the string):<br>
Question 69 :
If $\mu_s,\mu_k$ and $\mu_r$ are coefficient of static friction, sliding friction and rolling friction , then
Question 71 :
Four children were asked to arrange friction due to rolling, static and sliding in a decreasing order. Their arrangements are given below. Choose the correct arrangement.
Question 72 :
The arrow with a pointed tip can move faster in air than that of with a blunt tip.<br/>
Question 73 :
 A heavy urn form chain lies on horizontal table top.If the coefficient of friction be one the table surface is 0.25, then the maximum fraction of the length of the chain that hang edge of the table is :<br/>
Question 75 :
A closed compartment containing gas is moving with some acceleration in horizontal direction. Neglect effect of gravity. Then the pressure in the compartment is
Question 76 :
{tex}\mathrm{Statement \ I}{/tex} : A cloth covers a table. Some dishes are kept on it. The cloth can be pulled out without dislodging the dishes from the table.<br> {tex}\mathrm{Statement \ II}{/tex} : For every action there is an equal and opposite reaction.
Question 77 :
A truck is carry a box of mass $m = 50 \,kg$ on its flat horizontal rough surface with coefficient of friction $p = 0.3$. It is crossing a circular track of radius $27 \,m$. What is the maximum speed of the truck to that the box does not slide from the muck while moving on the circular path?
Question 78 :
A body is imparted motion from rest to move in a straight line. If it is then obstructed by an opposite force, then
Question 79 :
A car turns a corner on a slippery road at a constant speed of <img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/NEET/5e91799b67ed907b153d2b17">. If the coefficient of friction is 0.5, the minimum radius of the are in meter in which the car turns is
Question 80 :
A spring balance and a physical balance are kept in a lift. In these balances equal masses are placed. If now the lift starts moving upwards with constant acceleration, then
Question 82 :
A bob is hanging over a pulley inside a car through a string. The second end of the string is in the hand of a person standing in the car.<br>The car is moving with constant acceleration {tex} a {/tex} directed horizontally as shown in figure. Other end of the string is pulled with constant acceleration {tex} a {/tex} vertically. The tension in the string is equal to<br><img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/NEET/5e0f02a8ed6e36502132f282">
Question 83 :
A body is moving along a rough horizontal surface with an initial velocity <img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/NEET/5e917a4167ed907b153d2ba2">. If the body comes to rest after travelling <img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/NEET/5e917a411a95347cde4a1116">, then the coefficient of sliding friction will be
Question 85 :
If a sphere is rolling, the ratio of its rational energy to total kinetic energy is given by:-
Question 86 :
Assertion: When a person walks on a rough surface, the frictional force exerted by surface on the person is opposite to the direction of his motion.
Reason: It is the force exerted by the road on the person that causes the motion.
Question 87 :
A cold soft drink is kept on the balance. When the cap is open, then the weight
Question 89 :
Consider the following two statements :</p> I. Linear momentum of a system of particles is zero. </p> II. Kinetic energy of a system of particles is zero. Then
Question 91 :
A block of mass $1000\ kg$ lying steady on the horizontal surface of a table needs $200\ N$ horizontal force to came into motion. What is the coefficient of static friction between the block and the surface of table? <br>[take $g=10{ms}^{-2}$]
Question 92 :
A person sitting in an open car moving at constant velocity throws a ball vertically up into air. The ball falls
Question 93 :
In which of the following cases is friction a disadvantage to us ?
Question 94 :
A player caught a cricket ball of mass 150 g moving at the rate of <img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/NEET/5e91780a313cbb7c3feadbe3">. If the catching process be completed in 0.1 s, the force of blow exerted by the ball on the hands of the player is
Question 95 :
You are marooned on a frictionless horizontal surface and cannot exert any horizontal force by pushing against the surface. How can you get off ?
Question 96 :
For which type of surface magnitude of frictional force would be less?<br>
Question 97 :
In the figure (i) an extensible string is fixed at one end and the other end is pulled by a tension {tex} T . {/tex} In figure (ii) another identical string is pulled by tension {tex} T {/tex} at both the ends. The ratio of elongation in equilibrium of string in (i) to the elongation of string in (ii) is<br><img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/NEET/5e101dbf4faa335027dc7ae1"><br>
Question 99 :
A book of weight $20$ $N$ is pressed between two hands and each hand exerts a force of $40$ $N$. If the book just starts to slide down, then the coefficient of friction is
Question 100 :
Five persons {tex} A , B , C , D {/tex} and {tex} E {/tex} are pulling a cart of mass {tex} 100 \mathrm { kg } {/tex} on a smooth surface and cart is moving with acceleration {tex} 3 \mathrm { m } / \mathrm { s } ^ { 2 } {/tex} in east direction. When person {tex} A {/tex} stops pulling, it moves with acceleration {tex} 1 \mathrm { m } / \mathrm { s } ^ { 2 } {/tex} in the west direction. When person {tex} B {/tex} stops pulling, it moves with acceleration {tex} 24 \mathrm { m } / \mathrm { s } ^ { 2 } {/tex} in the north direction. The magnitude of acceleration of the cart when only {tex} A {/tex} and {tex} B {/tex} pull the cart keeping their directions same as the old directions, is
Question 101 :
A heavy box is to dragged along a rough horizontal floor. To do so, person {tex}A{/tex} pushes it at an angle {tex}30^{\circ}{/tex} from the horizontal and requires a minimum force {tex}F_A{/tex}, while person {tex}B{/tex} pulls the box at an angle {tex}60^{\circ}{/tex} from the horizontal and needs minimum force {tex}F_B{/tex}. If the coefficient of friction between the box and the floor is {tex}\frac{\sqrt3}{5}{/tex}, the ratio {tex}\frac{F_A}{F_B}{/tex}is
Question 102 :
A uniform rod {tex} A B {/tex} of length {tex} 3 r {/tex} remains in equilibrium on a hemispherical bowl of radius {tex} r {/tex} as shown in figure. Ignoring friction, the inclination of the rod {tex} \theta {/tex} with the horizontal is<br><img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/NEET/5e101e474faa335027dc7b4c"><br>
Question 103 :
Sand is being dropped on a conveyor belt at the rate of M kg/s. The force (in N) necessary to keep the belt moving with a constant velocity of v m/s will be:
Question 104 :
Two monkeys of masses {tex} 10 \mathrm { kg } {/tex} and {tex} 8 \mathrm { kg } {/tex} are moving along vertical rope which is light and inextensible, the former climbing up with acceleration of {tex} 2 \mathrm { m } / \mathrm { s } ^ { 2 } {/tex} while the latter coming down with a uniform velocity of {tex} 2 \mathrm { m } / \mathrm { s } {/tex}. Find the tension (in newtons).<br><img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/NEET/5e101dc94faa335027dc7ae8"><br>
Question 105 :
A solid sphere, a hollow sphere and a solid cylinder, all having equal mass and radius, are placed at the top of an incline and released. The friction coefficients between the objects and the incline are equal and but not sufficient to allow pure rolling. Greastest time will be taken in reaching the bottom by
Question 106 :
A bridge is in the from of a semi-circle of radius {tex} 40 \mathrm { m } {/tex}. The greatest speed with which a motor cycle can cross the bridge without leaving the ground at the highest point is {tex} \left( \mathrm { g } = 10 \mathrm { m } \mathrm { s } ^ { - 2 } \right) {/tex} (frictional force is negligibly small)
Question 107 :
A player stops a football weighting {tex}0.5{/tex} kg which comes flying towards him with a velocity of {tex} 10 \mathrm { m } / \mathrm { s } {/tex}. If the impact lasts for {tex} 1 / 50 \mathrm { th } {/tex} sec. and the ball bounces back with a velocity of {tex} 15 \mathrm { m } / \mathrm { s } {/tex}, then the average force involved is
Question 108 :
A bullet is fired from a gun. The force on the bullet is given by {tex} F = 600 - 2 \times 10 ^ { 5 } t {/tex} where {tex}F{/tex} is in newton and {tex}t{/tex} in second. The force on the bullet becomes zero as soon as it leaves the barrel. What is the average impulse imparted to the bullet?
Question 109 :
A bucket tied at the end of a {tex} 1.6 \mathrm { m } {/tex} long string is whirled in a vertical circle with constant speed. What should be the minimum speed so that the water from the bucket does not spill when the bucket is at the highest position?
Question 110 :
A mass {tex} m {/tex} is revolving in a vertical circle at the end of a string of length {tex} 20 \mathrm { cm } . {/tex} By how much does the tension of the string at the lowest point exceed the tension at the top most point?
Question 111 :
The force required to just move a body up the inclined plane is double the force required to just prevent the body from sliding down the plane. The coefficient of friction is {tex} \mu . {/tex} The inclination {tex} \theta {/tex} of the plane is
Question 112 :
A man is standing at the centre of frictionless pond of ice. How can he get himself to the shore?
Question 113 :
A particle of mass {tex} m {/tex} rotates with a uniform angular speed {tex} \omega . {/tex} It is viewed from a frame rotating about the Z-axis with a uniform angular velocity {tex} \omega _ { 0 } . {/tex} The centrifugal force on the particle is:
Question 114 :
Two bodies of masses {tex} 1 \mathrm { kg } {/tex} and {tex} 2 \mathrm { kg } {/tex} moving with same velocities are stopped by the same force. Then the ratio of their stopping distances is
Question 115 :
A body is rolling on the ground with a velocity of $1\ m/s$. After travelling a distance of $5\ m$, the body stops. The coefficient of friction is:
Question 117 :
The minimum force required to start pushing a body up rough (frictional coefficient {tex} \mu {/tex} ) inclined plane is {tex} F _ { 1 } {/tex} while the minimum force needed to prevent it from sliding down is {tex} F _ { 2 } . {/tex} If the inclined plane makes an angle {tex} \theta {/tex} from the horizontal such that tan {tex} \theta = 2 \mu {/tex} then the ratio {tex} \frac { F _ { 1 } } { F _ { 2 } } {/tex} is
Question 118 :
The coefficient of static friction {tex} \mu _ { \mathrm { s } } , {/tex} between block {tex} \mathrm { A } {/tex} of mass {tex} 2 \mathrm { kg } {/tex} and the table as shown in the figure is {tex} 0.2 . {/tex} What would be the maximum mass value of block {tex} \mathrm { B } {/tex} so that the two blocks do not move? The string and the pulley are assumed to be smooth and massless. {tex} \left( \mathrm { g } = 10 \mathrm { m } / \mathrm { s } ^ { 2 } \right) {/tex}<br><img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/NEET/5df345faec37fa6b8da4d8a3"><br>
Question 120 :
A train is moving with a speed of {tex} 36 \mathrm { km } / \mathrm { hour } {/tex} on a curved path of radius {tex} 200 \mathrm { m } {/tex}. If the distance between the rails is {tex}1.5 \mathrm { m } , {/tex} the height of the outer rail over the inner rail is
Question 121 :
A weight {tex} W {/tex} is supported by two cables as shown. The tension in the cable making angle {tex} \theta {/tex} with horizontal will be the minimum when the value of {tex} \theta {/tex} is<br><img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/NEET/5e101dcf4faa335027dc7aed"><br>
Question 122 :
A horizontal force of {tex} 10 \mathrm { N } {/tex} is necessary to just hold a block stationary against a wall. The coefficient of friction between the block and the wall is {tex} 0.2 . {/tex} The weight of the block is<br><img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/NEET/5e101e644faa335027dc7b66"><br>
Question 123 :
A ball of mass {tex} 0.2 \mathrm { kg } {/tex} thrown vertically upwards by applying a force by hand. If the hand moves {tex} 0.2 \mathrm { m } {/tex} while applying the force and the ball goes upto {tex} 2 \mathrm { m } {/tex} height further, find the magnitude of the force. (Consider {tex} \left. \mathrm { g } = 10 \mathrm { m } / \mathrm { s } ^ { 2 } \right) . {/tex}
Question 124 :
A block of mass 2 kg rests on a rough inclned plane making am angle of $30^o$ with the horizontal. The coefficient of static friction between the block and the plans is 0.7. The frictional force on the block is $(g = 9.8 m/s^2)$ :
Question 125 :
A body of mass {tex} 5 \mathrm { kg } {/tex} under the action of constant force {tex} \overrightarrow { \mathrm { F } } = \mathrm { F } _ { \mathrm { x } } \hat { \mathrm { i } } + \mathrm { F } _ { \mathrm { y } } \hat { \mathrm { j } } {/tex} has velocity at {tex} \mathrm { t } = 0 \mathrm { s } {/tex} as {tex} \overrightarrow { \mathrm { v } } = ( 6 \hat { \mathrm { i } } - 2 \hat { \mathrm { j } } ) \mathrm { m } / \mathrm { s } {/tex} and at {tex} \mathrm { t } = 10 \mathrm { s } {/tex} as {tex} \overrightarrow { \mathrm { v } } = + 6 \hat { \mathrm { j } } \mathrm { m } / \mathrm { s } {/tex} The force {tex} \mathrm { F } {/tex} is:
Question 126 :
Keeping the banking angle same, to increase the maximum speed with which a vehicle can travel on the curved road by {tex} 10 \% , {/tex} the radius of curvature of the road has to be changed from {tex} 20 \mathrm { m } {/tex} to:
Question 127 :
While waiting in a car at a stoplight, and 80 kg man and his car are suddenly accelerated to a speed of 5 ms{tex}^{-1}{/tex} as a result of rear-end collision. If the time of impact is 0.4 s, find the average force on the man
Question 128 :
A mass of 1 kg is suspended by a thread. It is <br> (i) lifted up with an acceleration {tex} 4.9 \mathrm { m } / \mathrm { s } ^ { 2 } , {/tex} <br>(ii) lowered with an acceleration {tex} 4.9 \mathrm { m } / \mathrm { s } ^ { 2 } {/tex}. <br>The ratio of the tensions is
Question 129 :
In the given figure, a smooth parabolic wire track lies in the {tex} x y - {/tex} plane (vertical). The shape of track is defined by the equation {tex} y = x ^ { 2 } . {/tex} A ring of mass m which can slide freely on the wire track, is placed at the position {tex} \mathrm { A } ( 1,1 ) {/tex}. The track is rotated with constant angular speed {tex} \omega {/tex} such there is no relative slipping between the ring and the track. The value of {tex} \omega {/tex} is<br> <img style='object-fit:contain' src='https://storage.googleapis.com/teachmint/question_assets/NEET/5e1057b34faa335027dc7c47' />
Question 130 :
Figures I, II, III and IV depict variation of force with time</p> <img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/NEET/5e91782667ed907b153d2996"></p> The impulse is highest in the case of situations depicted. Figure
Question 131 :
Rocket engines lift a rocket from the earth surface because hot gas with high velocity
Question 132 :
If the coefficient of friction between all surfaces is {tex} 0.5 , {/tex} then find the minimum force {tex} \mathrm { F } {/tex} to have equilibrium of system. (assume strings and pulleys are massless)<br><img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/NEET/5e101d50ed6e36502132f81d"><br>
Question 133 :
A body of mass {tex} 2 \mathrm { kg } {/tex} is placed on a horizontal surface having kinetic friction 0.4 and static friction 0.5 . If the force applied on the body is {tex} 2.5 \mathrm { N } , {/tex} then the frictional force acting on the body will be {tex} \left[ \mathrm { g } = 10 \mathrm { ms } ^ { - 2 } \right] {/tex}
Question 134 :
Two identical smooth surfaced solid cylinders of radius r are placed touching along their lengths on a horizontal surface. A third cylinder of same material but twice the radius of that of the cylinders is placed lengthwise on them so that the system remains at rest. If all three cylinders have the same length, then minimum value of the coefficient of friction between smaller cylinders and the surface is:
Question 135 :
A satellite in a force free space sweeps stationary interplanetary dust at a rate {tex} ( \mathrm { dM } / \mathrm { d } \mathrm { t } ) = \alpha { v } . {/tex} The acceleration of satellite is
Question 136 :
A triangular block of mass {tex} \mathrm { M } {/tex} with angles {tex} 30 ^ { \circ } , 60 ^ { \circ } , {/tex} and {tex} 90 ^ { \circ } {/tex} rests with its {tex} 30 ^ { \circ }-90 ^ { \circ } {/tex} side on a horizontal table. A cubical block of mass {tex} \mathrm { m } {/tex} rests on the {tex} 60 ^ { \circ } - 30 ^ { \circ } {/tex} side. The acceleration which {tex} \mathrm { M } {/tex} must have relative to the table to keep {tex} \mathrm { m } {/tex} stationary relative to the triangular block assuming frictionless contact is
Question 137 :
A body starts from rest on a long inclined plane of slope {tex} 45 ^ { \circ } . {/tex} The coefficient of friction between the body and the plane varies as {tex} \mu = 0.3 x , {/tex} where {tex} x {/tex} is distance travelled down the plane. The body will have maximum speed (for {tex} \left. g = 10 \mathrm { m } / \mathrm { s } ^ { 2 } \right) {/tex} when {tex} x = {/tex}
Question 138 :
A body of mass 40 gram is moving with a constant velocity of 20 $ms^{-}$ $^{1}$ on a horizontal frictionless table. The force acting on the body in horizontal direction is:
Question 139 :
An aircraft executes a horizontal loop with a {tex} \mathrm { an } {/tex} speed of {tex} 150 \mathrm { m } / \mathrm { s } {/tex} with its wings banked at an angle of {tex} 12 ^ { \circ } . {/tex} The radius of the loop is: {tex} \left( \mathrm { g } = 10 \mathrm { m } / \mathrm { s } ^ { 2 } \right) {/tex}
Question 140 :
In the figure shown, the pulleys and strings are massless. The acceleration of the block of mass {tex} 4 m {/tex} just after the system is released from rest is {tex} ( \theta ) {/tex} {tex} \left. = \sin ^ { - 1 } 3 / 5 \right) {/tex}<br><img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/NEET/5e101c92de596850506e367d"><br>
Question 141 :
The minimum force required to start pushing a body up rough (frictional coefficient {tex} \mu ) {/tex} inclined plane is {tex} F _ { 1 } {/tex} while the minimum force needed to prevent it from sliding down is {tex} F _ { 2 } {/tex}. If the inclined plane makes an angle {tex} \theta {/tex} from the horizontal such that {tex} \tan \theta = 2 \mu {/tex} then the ratio {tex} \frac { F _ { 1 } } { F _ { 2 } } {/tex} is
Question 142 :
In the diagram shown, friction is completely absent. If a force {tex} F {/tex} has been applied on the wedge such that it moves with a constant velocity than value of normal reaction {tex} N {/tex} is<br> <img style='object-fit:contain' src='https://storage.googleapis.com/teachmint/question_assets/NEET/5e105321de596850506e3835' />
Question 144 :
Consider the following statements and select the incorrect statement(s).<br>I. To move a football at rest, some one must kick it.<br> II. To throw a stone upwards, one has to give it an upward push.<br> III. A breeze causes the branches of a tree to become stationary.<br> IV. A strong wind can move even heavy objects.
Question 145 :
A block is placed on a rought inclined plane. The angle of the incline, {tex} \theta , {/tex} is slowly increased from the horizontal position. At a certain angle, the block starts to slide along the plane. The angle of the incline is increased further.<br><img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/NEET/5e101e7b4faa335027dc7b7a"><br>Which of the above graphs correctly depicts the variation of the frictional force, {tex} f {/tex}, exerted by the plane on the block, as a function of {tex} \theta ? {/tex} (Assume that the block does not topple.)
Question 146 :
A particle of mass {tex} m {/tex} is made to move with uniform speed {tex} v {/tex} along the perimeter of a regular polygon of {tex} n {/tex} sides, inscribed in a circle of radius {tex} a {/tex}. The magnitude of impulse applied at each corner of the polygon is :
Question 147 :
A particle moves in the {tex} X - Y {/tex} plane under the influence of a force such that its linear momentum is {tex} \vec { p } ( t ) = A [ { \hat i \cos ( k t ) - \hat j \sin ( k t )} ] {/tex} , where {tex} A {/tex} and {tex} K {/tex} are constants. The angle between the force and the momentum is
Question 148 :
A block {tex} \mathrm { B } {/tex} is pushed momentarily along a horizontal surface with an initial velocity V. If {tex} \mu {/tex} is the coefficient of sliding friction between B and the surface, block B will come to rest after a time<br><img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/NEET/5e101e694faa335027dc7b6b"><br>
Question 149 :
A block of mass {tex} \mathrm m {/tex} is placed on a smooth wedge of inclination {tex} \theta {/tex}. The whole system is accelerated horizontally so that the block does not slip on the wedge. The force exerted by the wedge on the block (g is acceleration due to gravity) will be
Question 150 :
If {tex} \mu _ { \mathrm { s } } , \mu _ { \mathrm { k } } {/tex} and {tex} \mu _ { \mathrm { r } } {/tex} are coefficients of static friction, kinetic friction and rolling friction, then