A flywheel of mass 180 kg with a radius of gyration of 0.15 m is accelerated uniformly from rest to 500 rpm. The driving torque is a constant 9.2 N·m and friction can be ignored. How long t does this take?
A pendulum is made of a uniform slender rod (4.5 kg, 1.2 m long) pivoted at its top end O, with a thin solid disc of mass 5.5 kg and radius 0.25 m fixed to its lower end. The disc swings in its own plane and its centre is 1.45 m below O. Find the mass moment of inertia IO of the pendulum about O.
A shaft transmits 104.5 kW at 900 rpm. Find the torque T in the shaft.
A uniform slender rod of mass 11 kg and length 0.9 m is pinned at one end and held horizontal. It is released from rest. Use g = 9.81 m/s². Find its angular acceleration α just after release.
A uniform slender rod of mass 9.5 kg and length 1.7 m hangs at rest from a frictionless pivot at its top end. A 45 g bullet moving horizontally at 140 m/s hits the rod 1.18 m below the pivot and stays embedded. Use g = 9.81 m/s². Find the largest angle φ from the vertical through which the rod swings.
A solid cylinder of mass 18 kg rolls without slipping at 3.5 m/s. What percentage p of its total kinetic energy is rotational?
Full step-by-step solutions: practise this topic on examproblems.com.