A uniform rod of mass M and length / hinged at one end is held in equilibrium by applying a constant force F at other end as shown in figure. The system is in vertical plane. Force exerted by hinge on the rod is

A rod PQ of mass M and length L is hinged at end P. The rod is kept horizontal by a massless string tied to point Q as shown in figure. When string is cut, the intial angular acceleration of the rod is

A uniform rod of mass m and length l is fixed from Point A , which is at a distance l//4 from one end as shown in the figure. The rod is free to rotate in a vertical plane. The rod is released from the horizontal position. What is the reaction at the hinge, when kinetic energy of the rod is maximum?

A rod PQ of mass M and length L is hinged at end P . The rod is kept horizontal by a massless string tied to point Q as shown in the figure. When string is cut, the initial angular accleration of the rod is.

A uniform rod AB of mass m and length L rotates about a fixed vertical axis making a constant angle theta with it as shown in figure. The rod is rotated about this axis, so that point B the free end of the rod moves with a uniform speed V in the horizontal plane then the angular momentum of the rod about the axis is:

A uniform rod AB of mass m and length L rotates about a fixed vertical axis making a constant angle theta with it as shown in figure. The rod is rotated about this axis, so that point B the free end of the rod moves with a uniform speed V in the horizontal plane then the angular momentum of the rod about the axis is:

A rod of mass m and length L is hinged at its top end. If the rod is in equilibrium making an angle of 30^(@) with the vertical when a horizontal force F is applied as shown in figure, then the value of F is:

In the figure a uniform rod of mass 'm' and length 'l' is hinged at one end and the other end is connected to a light vertical of spring constant 'k' as shown in figure. The spring has extension such that rod is equilibrium when it is horizontal . The rod rotate about horizontal axis passing through end 'B' . Neglecting friction at the hinge find (a) extension in the spring (b) the force on the rod due to hinge.

A rod mass (M) hinged at (O) is kept in equilibrium with a spring of stiffness (k) as shown in figure. The potential energy stored in the spring 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 uniform rod is hinged at its one end and is allowed to rotate in verticle plANE. Rod is given angular velocity omega in its verticle position as shown in figure. The value of omega for the force exerted by the hinge on rod is zero in this position is