Rotational Motion

The moment of inertia of a thin rod about an axis passing through its mid point and perpendicular to the rod is \(2400\mathrm{g}{\mathrm{cm}}^{2}\). The length of the 400 g rod is nearly :

[NEET 2024]

The angular speed of a flywheel is increased from 600 rpm to 1200 rpm in 10 s. The number of revolutions completed by the flywheel during this time is :

The moment of inertia of a thin rod about an axis passing through its mid point and perpendicular to the rod is \(2400\mathrm{g}{\mathrm{cm}}^{2}\). The length of the 400 g rod is nearly :

[NEET 2024]

The moment of inertia of a thin rod about an axis passing through its mid point and perpendicular to the rod is \(2400\mathrm{g}{\mathrm{cm}}^{2}\). The length of the 400 g rod is nearly :

[NEET 2024]

A body rolls down an inclined plane without slipping. The kinetic energy of rotation is 50 % of its translational kinetic energy. The body is:

[JEE Main 2021, 20 Jul (Shift 2)]

Find the torque about the origin when a force of \( 3 \hat{j} \mathrm{~N} \) acts on a particle whose position vector is \( 2 \hat{k} \mathrm{~m} \).

The maximum and minimum distances of a comet from the Sun are \(1.6 \times 10^{12} m\) and \(8.0 \times 10^{10} m\) respectively. If the speed of the comet at the nearest point is \(6 \times 10^4\) \(ms ^{-1}\), the speed at the farthest point is:

[JEE Main 2021, 16 Mar (Shift 1)]

From a circular ring of mass \( M \) and radius \( R \) an arc corresponding to a \( 90^{\circ} \) sector is removed. The moment of inertia of the remaining part of the ring about an axis passing through the centre of the ring and perpendicular to the plane of the ring is \( K \) times \( \mathrm{MR}^{2} \) . Then the value of \( \mathrm{K} \) is :

[NEET 2021]

The angular speed of the wheel of a vehicle is increased from \( 360 \mathrm{rpm} \) to \( 1200 \mathrm{rpm} \) in 14 second. Its angular acceleration is

[Re-NEET 2020]

Find the torque about the origin when a force of \( 3 \hat{j} \mathrm{~N} \) acts on a particle whose position vector is \( 2 \hat{k} \mathrm{~m} \).

[NEET 2020]

The angular acceleration of a body, moving along the circumference of a circle, is :

The ratio of radius of gyration of a solid sphere of mass M and radius R about its own axis to the radius of gyration of the thin hollow sphere of same mass and radius about its axis is :-