List of top Physics Questions on Rotational motion asked in MHT CET

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:
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:
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:
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:
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:
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:
The moment of inertia of a uniform thin rod of mass $M$ and length $L$ about an axis passing through its center and perpendicular to its length 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:
What is the moment of inertia for two specific (solid) spheres about their common diameter?
Calculate the moment of inertia for two spheres of radius \(10\,\text{cm}\) placed \(20\,\text{cm}\) apart.
A uniform disc of mass \(M\) and radius \(R\) is rotating about an axis through its center and perpendicular to its plane. What is its moment of inertia?
Find the moment of inertia of a solid sphere about its diameter.
Find the moment of inertia of a uniform ring of mass \(M\) and radius \(R\) about a tangent perpendicular to its plane.
Calculate the moment of inertia of a uniform circular disc of mass \(M\) and radius \(R\) about its diameter.
A body slides down a smooth inclined plane of inclination $\theta$ 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 plane is
The moment of inertia of a thin uniform rod of mass ' (M) ' and length ' (L) ', about an axis perpendicular to length and at a distance ' (L/4) ' from one end is
The angular momentum of a rotating body is '\(L\)'. When frequency is tripled and kinetic energy is made one-third, the new angular momentum becomes
Two spheres each of mass $M$ and radius $R$ are connected with a massless rod of length $4 R$ . The moment of inertia of the system about an axis passing through the centre of one of the spheres and perpendicular to the rod will be
An inclined plane makes an angle $30^\circ$ with the horizontal. A solid sphere rolling down an inclined plane from rest without slipping has linear acceleration ( $\text{g} =$ acceleration due gravity) ( $\sin 30^\circ = 0.5$ )
Two discs A and B of same material and thickness have radii \(R\) and \(3R\) respectively. Their moments of inertia about their axis will be in the ratio
A solid sphere and thin walled hollow sphere have same mass and same material. Which of them have greater moment of inertia about their diameter? [ $I_h =$ moment of inertia of hollow sphere about an axis coinciding with its diameter, $I_s =$ moment of inertia of solid sphere about an axis coinciding with its diameter]
The moment of inertia of a thin uniform rod of mass ' (M) ' and length ' (L) ', about an axis perpendicular to length and at a distance ' (L/4) ' from one end is
The angular momentum of a rotating body is '\(L\)'. When frequency is tripled and kinetic energy is made one-third, the new angular momentum becomes
A body slides down a smooth inclined plane of inclination $\theta$ 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 plane is
The moment of inertia of a thin uniform rod of mass ' (M) ' and length ' (L) ', about an axis perpendicular to length and at a distance ' (L/4) ' from one end is