A homogenous rod XY of length L and mass 'M' is pivoted at the centre 'C' such that it can rotate freely in vertical plane. Initially the rod is in the horizontal position.

A homogeneous rod XY of length 'L' and mass 'M' pivoted at the centre C such that it can rotate freely in vertical plane. Initially the rod is in the horizontal position .A blob of wax of same mass M as that of the rod falls vertically with the speed 'V' and the sticks to the rod midway between points 'C' and 'Y'. If the rod rotates with angular speed omega what will be angular speed in terms of V and L?

A magnetic needle is suspended freely so that it can rotate freely in the magnetic meridian. In order to keep it in the horizontal position, a weight of 0.2 g is kept on one end of the needle. If the pole strength of this needle is 20 Am, find the value of the vertical component of the earth s magnetic field, (g = 9.8 m//s^-2)

If a thin rod of length L and mass M is bent at the middle point 0 at an angle of 60^@ , then the moment of inertia of the rod about an axis passing through 0 and perpendicular to plane of the rod will be

Three rods of length L and mass M are placed along X, Y and Z axes in such a way that one end of each of the rods is at the origin. The moment of inertia of this system about Z axis is

If a body of mass 0.1 kg tied with a string of length 1m, is rotated in vertical circle, then the energy of the body at the highest position will be

A thin uniform rod of length 1 m and mass 1 kg is rotating about an axis passing through its centre and perpendicular to its length. Calculate the moment of inertia and radius of gyration of the rod about an axis passing through a point mid way between the centre and its edge perpendicular to its length.

A metal rod of length 'L' and cross-sectional area 'A' is heated through 'T'^(@)C What is the force required to prevent the expansion of the rod lengthwise ?

An iron rod of length L and magnetic moment M is bent in the form of a semicircle. Now its magnetic moment will be