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 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 thin rod of length L and area of cross section S is pivoted at its lowest point P inside a stationary, homogeneous and non-viscous liquid. The rod is free to rotate in a vertical plane about a horizontal axis passing through P. The density d_(1) of the rod is smaller than the density d_(2) of the liquid. The rod is displaced by a small angle theta from its equilibrium position and then released. Shown that the motion of the rod is simple harmonic and determine its angular frequency in terms of the given parameters ___________ .

A rod of length L is hinged from one end. It is brought to a horizontal position and released. The angular velocity of the rod, When it is in verticle position is

A rod of length L is hinged from one end. It is brought to a horizontal position and released. The angular velocity of the rod, when it is in vertical position, is

A rod of length L is hinged from one end. It is brought to horizontal position and released. The angular velocity of the rod when it is in vertical position. 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?

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.

A rod of mass m and length l is himged about one of its ends. The rod is released from horizontal position. When the rod becomes vertical, calculate (i) angular speed of the rod (ii) Hinge reaction.

A uniform rod of mass M and length L is hinged at its end. The rod is released from its vertical position by slightly pushing it. What is the reaction at the hinge when the rod becomes horizontal, again vertical.