Question 1 :
A mass is revolving in a circle which is in the plane of paper. The direction of angular acceleration is

Question 2 :
A man turns on a rotating table with an angular speed <img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/NEET/5e97fef1cf5ae23387f28f88"> . He is holding two equal masses at arm’s length. Without moving his arms, he just drops the two masses. How will his angular speed change

Question 3 :
Two spheres {tex} A {/tex} and {tex} B {/tex} of masses {tex} m {/tex} and {tex} 2 m {/tex} and radii {tex} 2 R {/tex} and {tex} R {/tex} respectively are placed in contact as shown. The COM of the system lies<br><img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/NEET/5e0f0c5cde596850506e33af"><br>

Question 4 :
A solid sphere, a hollow sphere and a ring are released from top of an inclined plane (frictionless) so that they slide down the plane. Then maximum acceleration down the plane is for (no rolling)

Question 5 :
Ratio of total kinetic energy and rotational kinetic energy in the motion of a disc is

Question 6 :
A body {tex} A {/tex} of mass {tex} M {/tex} while falling vertically downwards under gravity breaks into two parts; a body {tex} B {/tex} of mass {tex} \frac { 1 } { 3 } M {/tex}<br>and a body {tex} C {/tex} of mass {tex} \frac { 2 } { 3 } M {/tex} . The centre of mass of bodies {tex} B {/tex} and {tex} C {/tex} taken together shifts compared to that of body {tex} A {/tex} towards<br>

Question 7 :
Two objects {tex} P {/tex} and {tex} Q {/tex} initially at rest move towards each other under mutual force of attraction. At the instant when the velocity of {tex} P {/tex} is {tex} v {/tex} and that of {tex} Q {/tex} is {tex} 2 v , {/tex} the velocity of centre of mass of the system is

Question 8 :
A system consists of three particles, each of mass {tex} \mathrm { m } {/tex} and located at {tex} ( 1,1 ) , ( 2,2 ) {/tex} and {tex} ( 3,3 ) . {/tex} The coordinates of the centre of mass are

Question 10 :
One circular ring and one circular disc, both are having the same mass and radius. The ratio of their moments of inertia about the axes passing through their centres and perpendicular to their planes, will be

Question 12 :
A mass is revolving in a circle which is in the plane of paper. The direction of angular acceleration is

Question 14 :
Three identical spheres, each of mass 1 kg are kept as shown in figure, touching each other, with their centres on a straight line. Iftheir centres are marked P, Q, R respectively, the distance of centre of mass of the system from P is

Question 15 :
Which of the following has the highest moment of inertia when each of them has the same mass and the same outer radius

Question 16 :
Consider a uniform square plate of side {tex} ^ { \prime } a ^ { \prime } {/tex} and mass {tex} ^ { \prime } M ^ { \prime } {/tex} . The moment of inertia of this plate about an axis perpendicular to its plane and passing through one of its corners is<br>

Question 17 :
Two particles, each of mass {tex} 2 \mathrm { kg } {/tex} are put at {tex} ( 2 \mathrm { m } , 0 ) {/tex} and {tex} ( 0,2 \mathrm { m } ) , {/tex} as shown in figure. Now {tex} 1 \mathrm { kg } {/tex} mass of particle {tex} \mathrm { A } {/tex} is put on to the particle {tex} \mathrm { B } {/tex}. The change in {tex} x {/tex} -coordinate of centre of mass of the system is<br><img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/NEET/5e0f0d19ed6e36502132f305"><br>

Question 18 :
One solid sphere {tex} A {/tex} and another hollow sphere {tex} B {/tex} are of same mass and same outer radii, Their moments of inertia about their diameters are respectively {tex} I _ { A } {/tex} and {tex} I _ { B } {/tex}, such that

Question 19 :
An annular ring with inner and outer radii {tex} R _ { 1 } {/tex} and {tex} R _ { 2 } {/tex} is rolling without slipping with a uniform angular speed. The ratio of the forces experienced by the two particles situated on the inner and outer parts of the ring {tex} , \frac { F _ { 1 } } { F _ { 2 } } {/tex} is

Question 20 :
The moment of inertia of a body about a given axis is {tex} 1.2 \mathrm { kg } \mathrm { m } ^ { 2 } {/tex}. Initially, the body is at rest. In order to produce a rotational kinetic energy of {tex}1500{/tex} joule, an angular acceleration of {tex}25 \mathrm {radian/sec}^2{/tex} must be applied about that axis for a duration of

Question 21 :
A dancer is standing on a stool rotating about the vertical axis passing through its centre. She pulls her arms towards the body reducing her moment of inertia by a factor of n. The new angular speed of turn table is proportional to<br>

Question 22 :
The moment of inertia of wheel about the axis of rotation is 3.0 MKS units. Its kinetic energy will be 600 J if period of rotation is

Question 23 :
If the earth shrinks such that its mass does not change but radius decreases to one quarter of its original value then one complete day will take

Question 24 :
A solid cylinder of mass {tex} \mathrm { m } \ \& {/tex} radius {tex} \mathrm { R } {/tex} rolls down inclined plane without slipping. The speed of its {tex} \mathrm { C } . \mathrm { M } {/tex}. when it reaches the bottom is<br><img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/NEET/5e0f0c6cde596850506e33bd"><br>

Question 25 :
Linear acceleration of cylinder of mass {tex} m _ { 2 } {/tex} is {tex} a _ { 2 } {/tex}. Then angular acceleration {tex} \alpha _ { 2 } {/tex} is (given that there is no slipping). <br><img style='object-fit:contain' src="https://data-screenshots.sgp1.digitaloceanspaces.com/5e0f231b7d0c97188aace084.jpg" />

Question 26 :
A loop of radius {tex} \mathrm { r }{/tex} and mass {tex} \mathrm { m }{/tex} rotating with an angular velocity {tex} \omega _ { 0 } {/tex} is placed on a rough horizontal surface. The initial velocity of the centre of the hoop is zero. What will be the velocity of the centre of the hoop when it ceases to slip?<br>

Question 27 :
A hollow sphere is held suspended. Sand is now poured into it in stages. The centre of gravity of the sphere with the sand<br><img style='object-fit:contain' src="https://data-screenshots.sgp1.digitaloceanspaces.com/5d5e8c469c699b6d4e6ffe49.jpg" />

Question 28 :
A thin wire of length {tex} L {/tex} and uniform linear mass density {tex} \rho {/tex} is bent into a<br>circular loop with centre at {tex} O {/tex} as shown. The moment of inertia of the loop about the axis {tex} X X {/tex} is<br> <img style='object-fit:contain' src='https://storage.googleapis.com/teachmint/question_assets/NEET/5e0f2fb04faa335027dc7911' />

Question 29 :
Two circular discs of same mass and thickness are made up of two different metals with densities {tex} d _ { X } {/tex} and {tex} d _ { Y } \left( d _ { X } > d _ { Y } \right) . {/tex} Their moments of inertia about the axes passing through their centers of gravity and perpendicular to their planes are {tex} I _ { X } {/tex} and {tex} I _ { Y } {/tex}. Which one is correct?

Question 30 :
The moment of inertia of a uniform circular disc of radius 'R' and mass 'M' about an axis passing from the edge of the disc and normal to the disc is