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

Find the moment of inertia of a uniform ring of mass \(M\) and radius \(R\) about a tangent perpendicular to its plane.

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 $\dfrac{R}{2}$. 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 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.

Calculate the moment of inertia of a uniform circular disc of mass \(M\) and radius \(R\) about its diameter.

Moment of inertia of a thin uniform rod rotating about the perpendicular axis passing through its centre is \( I \). If the same rod is bent in the form of a ring, its moment of inertia about the diameter is \( I' \). If \( I_1 = I_2 \), then the value of \( x \) is

A bob of mass 'm' is tied by a string wound on a flywheel (disc) of radius 'R' and mass 'm'. If the bob has covered a vertical distance 'h', then the angular speed of the wheel will be \dots

A rigid body rotates about a fixed axis with variable angular velocity $(\alpha - \beta t)$ at time $t$, where $\alpha$ and $\beta$ are constants. The angle through which it rotates before it comes to rest is ______.

A man on a turn-table folds his arms. If his moment of inertia with folded arms is 75% of original, his rotational kinetic energy will

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]