A circular disc of mass 10kg is suspended by a wire attahced to its centre. The wire is twisted by rotating the disc and released. The period of torsional oscillations is found to be 1.5s. The radius of the disc is 15cm. Determing the torsional spring constant of the wire. (Torsional spring constant `alpha` is definied by the relation `J=-alphatheta`, where J is the restoring coubple and `theta` the angle of twist.

A circular disc of mass 12 kg is suspended by a wire attached to its centre. The wire is twisted by rotating the disc and then released, so that the time period of torsional oscillation is 2 s. If the radius of the disc is 10 cm, then calculate the torsional spring constant of the wire.

A disc of mass 'm' is suspended at a point R/2 above its centre. Find its period of oscillation.

A uniform disc of mass m and radius r is suspended through a wire attached to its centre. If the time period of the torsional oscillations be T, what is the torsional constant of the wire?

What is torsional constant of the spring used in a galvanometer?

A thin uniform rod of mass 1 kg and length 12 cm is suspended by a wire that passes through its centre and is perpendicular to its length.The wire is twisted and the rod is set oscillating. Time period of oscillation is found to be 3 s. When a flat triangular plate is suspended in same way through its centre of mass, the time period is found to be 6 s. The moment of inertia of the tringular plate about this axis is

A uniform disc of radius 5.0 cm and mass 200g is fixed at its centre to a metal wire, the other end of which is fixed with a clamp. The hanging disc is rotated about the wire through an angle and is released. If the disc makes torsional oscillations with time period 0.20s, find the torsional constant of the wire.

(a) A uniform disc of radius 5*0cm and mass 200g is fixed at its centre to a metal wire, the other end of which is fixed with a clamp. The hanging disc is rotated about the wire through an angle and is released. If the disc makes torsional oscillations with time period 0.20s , find the torsional constant of the wire. (b) In the previous part, another disc is placed over the first one and the time period of the system become 0.65 . Find the M.I. of the second disc about the wire.

A uniform of radius 5.0 cm and mass 200 g is fixed at its centre to a matel wire , the other end of which is fixed to a celling. The hanging dise is rotate obout the wire through an angle and is released. If the dise makes torsional oscillations with time period 0.20 s , find the torsional constant of the wire.

A disc of radius R is suspended from its circumference and made to oscillate. Its time period will be:

If there is no torsion in the suspension thread, then the time period of a magnet executing oscillation is: