List of top Physics Questions on Rotational motion

A uniform solid cylinder of mass $m$ and radius $R$ is pulled along a horizontal smooth road by a horizontal force $F$ applied at its center of mass. If the cylinder rolls without slipping, the angular acceleration $\alpha$ of the cylinder is:
A solid cylinder rolls down an incline without slipping. Its acceleration depends on
A solid sphere rolls down without slipping on an inclined plane of angle \(30^\circ\). If angle increases to \(45^\circ\), percentage increase in acceleration is nearly
A particle executes uniform circular motion with an angular momentum $L$. If its kinetic energy is doubled and the angular frequency is halved, then its angular momentum becomes:
The rotational kinetic energy of a solid sphere of mass \(3\,\text{kg}\) and radius \(0.2\,\text{m}\) rolling down an inclined plane of height \(7\,\text{m}\) is (nearest to)
A uniform rod of mass 20 kg and length 1.6 m is pivoted at its one end and can swing freely in the vertical plane. The angular acceleration of the rod just after the rod is released from rest in the horizontal position is:
The radius of gyration of a solid sphere of mass M and radius R about its diameter is K. The radius of gyration of a uniform circular disc of mass 2M and radius $\frac{R}{2}$ about its diameter is}
A solid sphere is rolling down without slipping on an inclined plane of length 21 m with an acceleration of $5\,ms^{-2}$. The time taken by a circular disc to roll down without slipping to reach the bottom from the top of the same inclined plane is}
A thin uniform rod AB of mass '\(m\)' and length '\(l\)' is hinged at one end A to the ground level. Initially the rod stands vertically and is allowed to fall freely to the ground in the vertical plane. The angular velocity of the rod when its B end strikes the ground is
(\(g\) = acceleration due to gravity)
A kathak dancer is standing on horizontal surface with folded hands. In the begining dancer is rotating about his central axis and his kinetic energy is 'K' at that time. The kathak dancer now stretches his arms so that the moment of inertia of the dancer becomes three times and the angular velocity becomes one-third. The kinetic energy of the dancer now is
A solid sphere rolls without slipping on an inclied plane at an angle \(θ\). The ratio of total kinetic energy to its rotational kinetic energy is
A solid cylinder and a solid sphere having the same mass and radius roll down on the same smooth inclined plane. The ratio of the acceleration of the cylinder \((a_c)\) to that of the sphere \((a_s)\) is
The angular momentum of a rotating body is 'L'. When the frequency of rotating body is tripled and its kinetic energy is made one-third, the new angular momentum becomes
The power (P) is supplied to rotating body having moment of inertia 'I' and angular acceleration '\(α\)'. Its instantaneous angular velocity is
A solid sphere of mass \(1\) kg rolls without slipping on a plane surface. Its kinetic energy is \(7\times 10^{-3}\) J. The speed of the center of mass of the sphere in cm s\(^{-1}\) is
A body slides down a smooth inclined plane of inclination \(θ\) and reaches the bottom with velocity 'V'. If the same body is a ring which rolls down the same inclined plane then linear velocity at the bottom of the plane is
The moment of inertia of a ring about an axis passing through its centre and perpendicular to its plane is I. It is rotating with angular velocity \(ω\). Another identical ring is gently placed on it so that their centres coincide. If both rings are rotating about the same axis then loss in kinetic energy is
A flywheel rotating about a fixed axis has a kinetic energy of \(500\) joule, if its angular frequency is \(5\) Hz, then calculate the moment of inertia of the wheel about the axis of rotation. (\(π^2 = 10\))
A wheel is rotating at \(600\) rpm about its axis of rotation. When the power is cut off, it comes to rest in half a minute. Its angular retardation expressed in \(\text{rad}/\text{s}^2\) is (retardation is uniform)
A disc of mass $M$ and radius $R$ has a concentric hole of radius $\dfrac{R}{2}$. Its moment of inertia about an axis passing through its center and perpendicular to its plane is:
Calculate the moment of inertia for two spheres of radius \(10\,\text{cm}\) placed \(20\,\text{cm}\) apart.
A disc of mass \(M\) and radius \(R\) has a concentric hole of radius \(R/2\). Its moment of inertia about an axis passing through its center and perpendicular to its plane is:
The moment of inertia of a thin uniform rod of mass M and length L about an axis passing through its centre and perpendicular to its length is:
Find the moment of inertia of a uniform ring of mass \(M\) and radius \(R\) about a tangent perpendicular to its plane.
A uniform solid sphere of mass $M$ and radius $R$ is placed on a smooth horizontal surface. It is struck by a horizontal cue at a height $h$ above the center. For the sphere to roll without slipping immediately after the impact, the value of $h$ must be: