A uniform stick of mass `M` and length `L` is pivoted its come its ands are fast to two spring each of the constant `K`. In the position shown in figure the same through a small length when spring is display through a small angle of and released. The stick :

A stick of mass m and length l is pivoted at one end and is displaced through an angle theta. The increase in potential energy is

A stick of mass m and length l is pivoted at one end and is displaced through an angle theta. The increase in potential energy 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-

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 :

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 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 support 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 released. the frequency of oscillation is

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 horizontal rod of mass m=(3k)/(pi^2) kg and length L is pivoted at one end . The rod at the other end is supported by a spring of force constant k. The rod is displaced by a small angle theta from its horizontal equilibrium position and released . The time period (in second) of the subsequent simple harmonic motion is

A horizontal rod of mass m=(3k)/(pi^2) kg and length L is pivoted at one end . The rod at the other end is supported by a spring of force constant k. The rod is displaced by a small angle theta from its horizontal equilibrium position and released . The time period (in second) of the subsequent simple harmonic motion is

A horizontal rod of mass m and length L is pivoted at one end The rod's other end is supported by a spring of force constant k. The rod is displaced by a small angle theta from its horizontal equilibrium position and released. The angular frequency of the subsequent simple harmonic motion is