A flywheel of mass 160 kg with a radius of gyration of 0.45 m is accelerated uniformly from rest to 1700 rpm. The driving torque is a constant 1900 N·m and friction can be ignored. How long t does this take?
A flywheel of mass 190 kg with a radius of gyration of 0.45 m is accelerated uniformly from 1000 rpm to 2300 rpm. The driving torque is a constant 580 N·m and friction can be ignored. How long t does this take?
An 8.5 kg block hangs from a light cord wrapped around a pulley, a uniform solid disc of mass 8 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 tension T in the cord.
A 0.5 kg block hangs from a light cord wrapped around a pulley, a uniform solid disc of mass 16 kg and radius 0.5 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 3 m.
A person stands on a frictionless turntable and holds a 4.5 kg dumbbell in each hand, 0.7 m from the axis. The person and turntable alone have a moment of inertia of 2.5 kg·m² about the axis. They turn at 50 rpm, then pull the dumbbells in to 0.2 m from the axis. Treat the dumbbells as point masses. Find the new speed n2 in rpm.
A uniform slender rod of mass 1.5 kg and length 2 m hangs at rest from a frictionless pivot at its top end. A 15 g bullet moving horizontally at 340 m/s hits the rod 1.7 m below the pivot and stays embedded. Find the angular velocity ω of the rod just after the impact.
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