List of top Physics Questions on Rotational motion asked in BITSAT

A disc of moment of inertia \( I \) is rotating with angular velocity \( \omega \). A ring of the same mass and radius, initially at rest, is gently placed coaxially on top of the disc. What is the final angular velocity of the system?
A solid sphere of mass 2 kg and radius 0.5 m rolls without slipping down an inclined plane of height 3 m. What is its speed at the bottom? (Take \( g = 9.8\, \text{m/s}^2 \))

A thin but rigid semicircular wire frame of radius r is hinged at O and can rotate in its own vertical plane. A smooth peg P starts from O and moves horizontally with constant speed v₀, lifting the frame upward as shown in the figure. Find the angular velocity ω of the frame when its diameter makes an angle of 60^∘ with the vertical. 

 

A circular disc of radius R and thickness (R)/(6) has moment of inertia I about an axis passing through its centre perpendicular to its plane. It is melted and recast into a solid sphere. The moment of inertia of the sphere about its diameter is:

A thin rod of length 4l and mass M is bent at the points as shown in the figure. What is the moment of inertia of the rod about the axis passing through point O and perpendicular to the plane of paper?

A hoop rolls down an inclined plane. The fraction of its total kinetic energy associated with rotational motion is:
A thin but rigid semicircular wire frame of radius r is hinged at O and can rotate in its own vertical plane. A smooth peg P starts from O and moves horizontally with constant speed v₀, lifting the frame upwards as shown in the figure. Find the angular velocity ω of the frame when its diameter makes an angle of 60^∘ with the vertical. \includegraphics[width=0.5\linewidth]34.png
A circular disc of radius R and thickness (R)/(6) has moment of inertia I about an axis passing through its centre perpendicular to its plane. It is melted and recast into a solid sphere. The moment of inertia of the sphere about its diameter is:

A thin rod of length \(4l\) and mass \(M\) is bent at the points as shown in the figure. What is the moment of inertia of the rod about an axis passing through point \(O\) and perpendicular to the plane of the paper? 

Two rings of radius \( R \) and \( nR \) made of same material have the ratio of moment of inertia about an axis passing through the centre is 1 : 8. The value of \( n \) is a

A disc is performing pure rolling on a smooth stationary surface with constant angular velocity as shown in the figure. At any instant, for the lower most point of the disc
 

A wheel of radius \( R \) rolls on the ground with a uniform velocity \( v \). The relative acceleration of topmost point of the wheel with respect to the bottom most point is: 

What is the moment of inertia of a solid sphere of density \( \rho \) and radius \( R \) about its diameter?
A constant torque of 31.4 N-m is exerted on a pivoted wheel. If angular acceleration of wheel is 4 rad s⁻², then the moment of inertia of the wheel is:
The ratio of the accelerations for a solid sphere (mass m and radius R) rolling down an incline of angle θ without slipping and slipping down the incline without rolling is