IIT Jee Problem: A person of mass M is sitting on a swing of length L and swinging with an angular velocity

A person of mass M is setting on a swing of length L and swinging with an angular amplitude theta_(0) if the person stands up when the swing passes through its lowest point, the work done by him, assuming that his centre of mass moves by a distance l(lt lt L)

Two men A and B are sitting at th eend of a plank of length L, if plank is rotating with angular velocity omega about an axis perpendicular to its length and passing through a point at a distance of L//3 from A. The angular velocity of B with respect to A is

A simple pendulum with a bob of mass m and a conducting wire of length L, swings under gravity with an angular amplitude 2theta . If the horizontal component of the earth's magnetic field perpendicular to the plane of motion of the pendulum is B, then the maximum emf induced across the pendulum is

A boy who was sitting on a swing stands up while it was swinging. Will there be any change in the period ?

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 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 .

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 angle will the rod make with the vertical

A simple pendulum with bob of mass m and conducting wire of length L swings under gravity through an angle 2theta . The earth's magnetic field component in the direction perpendicular to swing is B. The maximum potential difference induced across the pendulum is

A simple pendulum with bob of mass m and conducting wire of length L swings under gravity through an angle 2 theta . The earth's magnetic field component in the direction perpendicular to swing is B . Maximum potential difference induced across the pendulum is

A wooden log of mass M and length L is hinged by a frictionless nail at O.A bullet of mass m strikes with velocity v and sticks to it. Find angular velocity of the system immediately after the collision aboutO.