A flywheel of mass 70 kg with a radius of gyration of 0.35 m is accelerated uniformly from 700 rpm to 1300 rpm. The driving torque is a constant 36 N·m and friction can be ignored. How long t does this take?
A flywheel of mass 60 kg has a radius of gyration of 0.4 m about its axis. It spins at 1000 rpm. Find its kinetic energy Ek in kJ.
A 1 kg block hangs from a light cord wrapped around a pulley, a uniform solid disc of mass 19.5 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 angular acceleration α of the pulley.
A uniform slender rod of mass 2 kg and length 1.5 m is pinned at one end and released from rest in a horizontal position. Ignore friction and use g = 9.81 m/s². Find the speed v of the free end as the rod swings through the vertical position.
A uniform solid disc (mass 23 kg, radius 0.4 m) spins freely at 350 rpm about a vertical frictionless shaft. A thin ring of mass 11 kg and the same radius is dropped onto it from rest, centred on the shaft, and the two quickly spin together. Find their common speed n2 in rpm.
A solid cylinder of mass 0.5 kg rolls without slipping at 3.5 m/s. Find its total kinetic energy Ek.
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