A flywheel of mass 110 kg with a radius of gyration of 0.4 m is accelerated uniformly from 600 rpm to 1900 rpm. This takes 21 s. Ignoring friction, find the constant torque T needed.
A flywheel of mass 30 kg with a radius of gyration of 0.25 m is accelerated uniformly from rest to 800 rpm. This takes 9 s. Ignoring friction, find the constant torque T needed.
A uniform slender rod of mass 1 kg and length 1 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 3 kg block hangs from a light cord wrapped around a pulley, a uniform solid disc of mass 9 kg and radius 0.1 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 solid cylinder of mass 16.5 kg rolls without slipping at 8.5 m/s. Find its total kinetic energy Ek.
A thin hoop of mass 17.5 kg rolls without slipping at 1 m/s. What percentage p of its total kinetic energy is rotational?
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