A uniform rod of length l and mass M is pivoted at the centre. Its two ends are attached to two ends are attached to two springs of equal spring constant k. the springs are fixed to rigid ruppot as shown in figure and the rod is free to oscillate in the horizontal plane. the rod is gently pushed through a small angle `theta` in one direction and relased. the frequency of oscillation is

A uniform rod of length L and mass M is pivotedat the centre. Its two ends are attached to two springs of equal spring constants. k . The springs as shown in the figure, and the rod is free to oscillate in hte horizontal plane. the rod is gently pushed through a small angle theta in one direction and released. the frequency of oscilllation is-

The arrangement shown of a uniform rod of length l and mass m, pivoted at the centre and its two ends attached to two springs of spring constant K_(1) and K_(2) . The other end of springs are fixed to two rigid supports the rod which is free to rotate in the horizontal plane , is pushed by a small angle in one direction and released . Teh frequency of oscillation of the rod is

Two identical springs of spring constant k are attached to a block of mass m and to fixed supports as shown in the figure. The time period of oscillation is

two light identical springs of spring constant K are attached horizontally at the two ends of a uniform horizontal rod AB of length l and mass m. the rod is pivoted at its centre 'o' and can rotate freely in horizontal plane . The other ends of the two springs are fixed to rigid supportss as shown in figure . the rod is gently pushed through a small angle and released , the frequency of resulting oscillation is :

A mass m is attached to the free end of a massless spring of spring constant k with its other end fixed to a rigid support as shown in figure. Find out the time period of the mass, if it is displaced slightly by an amount x downward.

A thin uniform rod of length l is pivoted at its upper end. It is free to swing in a vertical plane. Its time period for oscillation of small amplitude is

A rod of length l and mass m , pivoted at one end, is held by a spring at its mid - point and a spring at far end. The spring have spring constant k . Find the frequency of small oscillations about the equilibrium position.

On a smooth inclined plane a body of mass M is attached between two springs. The other ends of the springs are fixed to firm supports. If each spring has a force constant k, the period of oscilation of the body is (assuming the spring as massless)