List of top Physics Questions on Rotational motion asked in AP EAPCET

Assertion (A): When a uniform metallic rod rotating about perpendicular bisector with constant angular speed is heated uniformly to raise its temperature slightly, its speed of rotation increases.
Reason (R): When a metal rod is heated uniformly to raise its temperature slightly, its moment of inertia increases.
A fan is rotating with an angular speed \(300\ \text{rpm}\). The fan is switched off, and it takes \(80\ \text{s}\) to come to rest. Assuming constant angular deceleration, the number of revolutions made by the fan before it comes to rest is:
The angular momentum of a wheel having a rotational inertia of \[ 0.2\,\text{kg m}^2 \] about its symmetric axis decreases from \[ 4 \text{ to } 2\,\text{kg m}^2\text{s}^{-1} \] in \(4\,\text{s}\). The average power of the wheel is:
A sphere rolls down from the top of an inclined plane which makes an angle \(30^\circ\) with the horizontal roof. If the highest and lowest points of the inclined plane are \(8.75\,\text{m}\) and \(3.75\,\text{m}\) respectively from the ground, then the horizontal distance from the lower edge of the roof at which the sphere hits the ground is \((g=10\,\text{m/s}^2)\):
A solid cylinder of radius \(R\) is at rest at a height \(h\) on an inclined plane. If it rolls down, then its velocity on reaching the ground is
Point masses 2 kg, 3 kg, 4 kg and 5 kg are lying at the points (-1,-1,0), (3,0,0), (0,0,1) and (0,4,0) respectively. The moment of inertia of this system about y-axis will be in kg m\(^{2}\).
A solid circular disc of mass 100 kg rolls along a horizontal floor so that center of mass has a speed of 0.2 m s\(^{-1}\). The absolute value of work done on the disc to stop it is.
A rod of mass M and length 2L lies horizontally. A particle of mass m, moving with velocity v in the vertical plane, strikes the end B of the rod and sticks to it. Then the velocity of point B just after collision is:

A circular disc of weight 500 N and radius 1 m is started from rest by a constant horizontal force of 25 N applied tangentially to the disc. The kinetic energy of the disc after \(t = 2\,s\) is:
A thin circular ring of mass M and radius R is rotating about its axis with a constant angular velocity \(\omega\). Two objects each of mass m are attached gently to the ring on either side. The ring now rotates with an angular velocity:
Consider a disc of radius \( R \) and mass \( M \). A hole of radius \( \frac{R}{3} \) is created in the disk such that the center of the hole is \( \frac{R}{3} \) away from the center of the disc. The moment of inertia of the remaining system about the axis perpendicular to the disc and passing through the original center is:
The angular momentum of a wheel having a rotational inertia of \( 0.2 \, \text{kg} \, \text{m}^2 \) about its symmetric axis decreases from \( 4 \) to \( 2 \, \text{kg} \, \text{m}^2 \, \text{s}^{-1} \) in \( 4 \, \text{s} \). The average power of the wheel is
Which of the following is NOT true about vectors \( \vec{A}, \vec{B}, \vec{C} \)?
A solid cylinder of radius $ R $ is at rest at a height $ h $ on an inclined plane. If it rolls down, then its velocity on reaching the ground is:
A wheel is rotating with angular speed \( \omega \). Another identical wheel with moment of inertia three times the first is initially at rest. It is suddenly coupled to the first. What fraction of the original kinetic energy is lost?
Two spheres $P$ and $Q$, each of mass $200\, g$ are attached to a string of length one metre as shown in the figure. The string and the spheres are then whirled in a horizontal circle about $O$ at a constant angular speed. The ratio of the tension in the string between $P$ and $Q$ to that of between $P$ and $O$ is $(P$ is at mid-point of the line joining $O$ and $Q$ )
The kinetic energy of a body rotating at 300 revolutions per minute is 62.8 J. Its angular momentum $ (\text{in kg}\,{{m}^{2}}{{s}^{-1}}) $ is approximately:
A solid sphere of mass \( M \) and radius \( R \) is rolling without slipping with speed \( v \). Its total kinetic energy is:
A planet is revolving around the Sun as shown in the figure. The radius vectors joining the Sun and the planet at points $A$ and $B$ are $90 \times 10^{6} km$ and $60 \times 10^{6} km$, respectively. The ratio of velocities of the planet at the points $A$ and $B$ when its velocities make angle $30^{\circ}$ and $60^{\circ}$ with major-axis of the orbit is