Question 1 :
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 2 :
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 3 :
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 4 :
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 6 :
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 7 :
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 8 :
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 9 :
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 11 :
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 12 :
If {tex} n {/tex} bullets each of mass {tex} m {/tex} are fired with a velocity {tex} v {/tex} per second from a machine gun, the force required to hold the gun in position is
Question 13 :
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 14 :
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 15 :
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