A dog of mass m is walking on a pivoted disc of radius R and mass M in a circle of radius `R//2` with an angular frequency n: the disc will revolve in opposite direction with frequency -

If a disc of mass m and radius R totates with an angular acceleration a, of the torque acting on the disc is

Find moment of inertia of half disc of radius R_2 and mass M about its centre. A smaller half disc of radius R_1 is cut from this disc

A body of mass 1 kg is revolving in horizontal circle of radius 2 m. it is performs 420 r.p.m. Calculate Frequency

A disc of mass M and radius R moves in the x-y plane as shown in the figure. The angular momentum of the disc at the instant shown is –

From a circular disc of radius R and mass 9M, a small disc of radius R/3 is removed as shown in figure. The moment of inertia of the remaining disc about an axis perpendicular to the plane of the disc and passing through O is

A uniform disc of mass m and radius R is pivoted smoothly at its centre of mass. A light spring of stiffness k is attached with the dics tangentially as shown in the Fig. Find the angular frequency in (rad)/(s) of torsional oscillation of the disc. (Take m=5kg and K=10(N)/(m) .)