A flywheel of mass 100 kg with a radius of gyration of 0.2 m is accelerated uniformly from 900 rpm to 2000 rpm. This takes 11 s. Ignoring friction, find the constant torque T needed.
A flywheel of mass 50 kg with a radius of gyration of 0.45 m is accelerated uniformly from rest to 1900 rpm. This takes 7 s. Ignoring friction, find the constant torque T needed.
An 8 kg block hangs from a light cord wrapped around a pulley, a uniform solid disc of mass 7.5 kg and radius 0.15 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 13.5 kg block hangs from a light cord wrapped around a pulley, a uniform solid disc of mass 13.5 kg and radius 0.3 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 solid cylinder rolls without slipping down a slope inclined at 15° to the horizontal. Use g = 9.81 m/s². Find the smallest coefficient of static friction μs that prevents it from slipping.
A thin hoop of mass 9 kg rolls without slipping at 4 m/s. Find its total kinetic energy Ek.
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