A flywheel of mass 20 kg with a radius of gyration of 0.55 m is accelerated uniformly from 300 rpm to 500 rpm. The driving torque is a constant 13 N·m and friction can be ignored. How long t does this take?
A flywheel is a uniform solid disc of mass 60 kg and radius 0.6 m. It spins at 1200 rpm. Find its kinetic energy Ek in kJ.
A uniform slender rod of mass 7.5 kg and length 0.5 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 angular velocity ω of the rod as it swings through the vertical position.
A 1 kg block hangs from a light cord wrapped around a pulley, a uniform solid disc of mass 13.5 kg and radius 0.4 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 hollow sphere starts from rest and rolls without slipping down a slope inclined at 40° to the horizontal. Use g = 9.81 m/s². Find its speed v after it has rolled 2.5 m along the slope.
A hollow sphere starts from rest and rolls without slipping down a slope inclined at 30° to the horizontal. Use g = 9.81 m/s². Its radius is 0.2 m. Find its angular velocity ω after it has rolled 3.5 m along the slope.
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