A uniform semicurcular ring having mass m and radius `r` is hanging at one of its ends freely as shown if Fig. The ring is slightly disturbed so the it oscillates in its own plane. The time period of oscillation of the ring is

A block of mass m is connected to three springs as shown in Fig. The block is displaced down slightly and left free, it starts oscillating. Find time period of oscillations.

For a uniform ring of mass M and radius R at its centre

For a uniform ring of mass M and radius R at its centre

A uniform semicircular ring of mass m and radius r is hinged at end A so that it can rotate freely about end A in the vertical plane as shown in the figure. Calculate angle made by line AB with vertical in equilibrium position and time period of small oscillation of ring.

A uniform rod ofmass M and length L is hanging from its one end free to rotate in a veritcal plane.A small ball of equal mass is attached of the lowe end as shown. Time period of small oscillations of the rod is

A uniform rod ofmass M and length L is hanging from its one end free to rotate in a veritcal plane.A small ball of equal mass is attached of the lowe end as shown. Time period of small oscillations of the rod is

A half ring of mass m, radius R is hanged at its one end its one end in verical plane and if free to socilalte in its plane. Find oscillations frequency of the half ring.