A flywheel of mass 20 kg with a radius of gyration of 0.55 m is accelerated uniformly from 500 rpm to 2000 rpm. This takes 12 s. Ignoring friction, find the constant torque T needed.
A flywheel of mass 20 kg has a radius of gyration of 0.35 m about its axis. It spins at 2600 rpm. Find its kinetic energy Ek in kJ.
A 10 kg block hangs from a light cord wrapped around a pulley, a uniform solid disc of mass 17 kg and radius 0.5 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 1.5 m.
A uniform slender rod of mass 12 kg and length 1.3 m is pinned at one end and held horizontal. It is released from rest. Use g = 9.81 m/s². Find the acceleration atip of the free end just after release.
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.
A thin hoop rolls without slipping down a slope inclined at 15° to the horizontal. Use g = 9.81 m/s². Find the acceleration a of its centre.
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