A uniform rod of mass `m` and length `l` is pivoted smoothly at `O`. A horizontal force acts at the bottom of the rod.
a. Find the angular velocity of the rod as the function of angle of rotation `theta.`
b.What is the maximum angular displacement of the rod?

A uniform rod of mass m and length l is pivoted smoothly at point O as shown in figure. If a horizontal force F acts at the bottom of the rod and omega is the angular velocity of the rod which is a function of angle of rotation theta , then the maximum angular displacement of the rod is (Acceleration due to gravity, g)

A rod of mass m and length l is rotating about a fixed point in the ceiling with an angular velocity omega as shown in the figure. The rod maintains a constant angle theta with the vertical. What is the rate of change of angular momentum of the rod ?

A rod of length l is pivoted smoothly at O is resting on a block of height h . If the block moves with a constant velocity V , pick the correct alternatives about angular velocity of rod :

A uniform rod of mass m and length l rests on a smooth horizontal surface. One of the ends of the rod is struck in a horizontal direction at right angles to the rod. As a result the rod obtains velocity v_(0) . Find the force with which one-half of the rod will act ont he other in the process of motion.

A uniform rod of mass m , length l rests on a smooth horizontal surface. Rod is given a sharp horizontal impulse p perpendicular to the rod at a distance l//4 from the centre. The angular velocity of the rod will be

A uniform rod of mass m , length l rests on a smooth horizontal surface. Rod is given a sharp horizontal impulse p perpendicular to the rod at a distance l//4 from the centre. The angular velocity of the rod will be

A rod of mass m and length l is rotating about a fixed point in the ceiling with an angular velocity omega as shown in the figure. The rod maintains a constant angle theta with the vertical. What will be the horizontal component of angular momentum of the rod about the point of suspension in terms of m , omega , l and theta .