A uniform stick of mass `M` and length `L` is pivoted its come its ends are attached 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 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 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-

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 mass m and length l is suspended about its end. Time period of small angular oscillations 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

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 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

A uniform disc of mass m is attached to a spring of spring constant k as shown in figure and there is sufficient friction to prevent slipping of disc. Time period of small oscillations of disc is:

A uniform rod of mass 2m and length L is hinged at one end and carries a particle of mass m at the other end.Two springs each of force constant k are installed at distances as shown.The whole arrangement rests on a smooth horizontal surface.The frequency of small oscillations will be?