A flywheel of mass 140 kg with a radius of gyration of 0.1 m is accelerated uniformly from 800 rpm to 1800 rpm. The driving torque is a constant 8.1 N·m and friction can be ignored. How long t does this take?
A uniform slender rod of mass 8.5 kg and length 2.2 m rotates about an axis O perpendicular to the rod, 0.75 m from its centre G. Find its mass moment of inertia IO about that axis.
A uniform slender rod of mass 15 kg and length 2.6 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 2 kg block hangs from a light cord wrapped around a pulley, a uniform solid disc of mass 5.5 kg and radius 0.35 m that turns on a frictionless horizontal axle. The block is released from rest. Use g = 9.81 m/s². Find the acceleration a of the block.
A uniform slender rod of mass 5.5 kg and length 1.9 m hangs at rest from a frictionless pivot at its top end. A 30 g bullet moving horizontally at 200 m/s hits the rod 1.86 m below the pivot and stays embedded. Find the angular velocity ω of the rod just after the impact.
A solid sphere rolls without slipping down a slope inclined at 40° to the horizontal. Use g = 9.81 m/s². Find the acceleration a of its centre.
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