A flywheel of mass 80 kg with a radius of gyration of 0.35 m is accelerated uniformly from 500 rpm to 1500 rpm. The driving torque is a constant 68 N·m and friction can be ignored. How long t does this take?
A uniform slender rod of mass 6 kg and length 2.8 m rotates about an axis O perpendicular to the rod, 0.65 m from its centre G. Find its mass moment of inertia IO about that axis.
A 10.5 kg block hangs from a light cord wrapped around a pulley, a uniform solid disc of mass 12 kg and radius 0.2 m that turns on a frictionless horizontal axle. The block is released from rest. Use g = 9.81 m/s². Find the speed v of the block after it has fallen 2 m.
A uniform slender rod of mass 14 kg and length 2 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 solid sphere of mass 19.5 kg rolls without slipping at 2.5 m/s. Find its rotational kinetic energy Erot.
A thin hoop rolls without slipping down a slope inclined at 20° to the horizontal. Use g = 9.81 m/s². It starts from rest. How long t does it take to roll 6 m down the slope?
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