List of practice Questions

A ball of mass \(1\, kg\) and radius \(0.5\, m,\) starting from test rolls down on a \(30^{\circ}\) inclined plane. The torque acting on the ball at the distance of the \(7\, m\) from the starting point is close to
(Take: Acceleration due to gravity as \(10\, m/s^2\))

A solid cylinder of mass \(2 kg \) and radius \(4 cm\) is rotating about its axis at the rate of \( 3 rpm\). The torque required to stop after \(2\pi \)revolutions is: 

The instantaneous angular position of a point on a rotating wheel is given by the equation $\theta(t)=2t^3-6t^2$ The torque on the wheel becomes zero at

A closed loop PQRS carrying a current is placed in a uniform magnetic field. If the magnetic forces on segments PS, SR and RQ are $F_1, F_2, $ and $ F_3$ respectively and are in the plane of the paper and along the directions shown, the force on the segment QP is