A flywheel of mass 30 kg with a radius of gyration of 0.6 m is accelerated uniformly from rest to 1900 rpm. The driving torque is a constant 310 N·m and friction can be ignored. How long t does this take?
A flywheel of mass 100 kg with a radius of gyration of 0.2 m is accelerated uniformly from rest to 1300 rpm. The driving torque is a constant 110 N·m and friction can be ignored. How long t does this take?
A 5 kg block hangs from a light cord wrapped around a pulley, a uniform solid disc of mass 14 kg and radius 0.2 m that turns on a frictionless horizontal axle. The block is released from rest. Use g = 9.81 m/s². Find the tension T in the cord.
A uniform slender rod of mass 8.5 kg and length 1.6 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 solid sphere starts from rest and rolls without slipping down a slope inclined at 15° to the horizontal. Use g = 9.81 m/s². Its radius is 0.2 m. Find its angular velocity ω after it has rolled 2 m along the slope.
A person stands on a frictionless turntable and holds a 3 kg dumbbell in each hand, 0.65 m from the axis. The person and turntable alone have a moment of inertia of 3.5 kg·m² about the axis. They turn at 60 rpm, then pull the dumbbells in to 0.35 m from the axis. Treat the dumbbells as point masses. Find the new speed n2 in rpm.
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