System of Parti...

Due to slipping, points $A$ and $B$ on the rim of the disc have the velocities shown. Distance between centre of disc and point on disc which is having zero velocity.

Find ratio of radius of gyration of a disc and ring of same radii at their tangential axis in plane.

The moment of inertia of a thin scale of length L and mass M about an axis passing through the center of mass and perpendlcular to its lenqth would be

A bullet of mass 0.01$$\mathrm { kg }$$ and traveling at a speed of 500$$\mathrm { m } / \mathrm { sec }$$ strikes a block of which suspended by a string of length 5$$\mathrm { m }$$ . The centre of gravity of the block is found to vertical distance of 0.1$$\mathrm { m }$$ . What is the speed of the bullet after it emerges from the block?

Find radius of gyration of a solid circular disc of mass M, radius R, about an axis parallel to its diameter and passing through its edge

Two thin rods each of mass $$m$$ and length 1 are joined to form L shape as shown. The moment of inertia of rods about an axis passing through free end (O) of a rod end and perpendicular to both the ends is

Which of the following in the measure of inertia

The moment of inertia of a thin uniform rod about a transverse axis passing through centre is given to be I. The moment of inertia of the same rod about a transverse axis passing through a point midway between the centre and the end of the rod is:

Radius of gyration of the system of two rods each of mass ' $$m ^ { \prime }$$ and length $$l ^ { \prime }$$ about an axis shown is:

Two small kids weighing 10kg and 15kg are trying to balance a seesaw of total length 5m with the fulcrum at the centre. If one of the kids is sitting at an end, the other should sit at