A flywheel of mass 90 kg with a radius of gyration of 0.5 m is accelerated uniformly from 700 rpm to 2000 rpm. The driving torque is a constant 140 N·m and friction can be ignored. How long t does this take?
A uniform slender rod of mass 6.5 kg and length 1.2 m rotates about an axis O perpendicular to the rod, 0.35 m from its centre G. Find its mass moment of inertia IO about that axis.
A flywheel with a moment of inertia of 31 kg·m² spins at 1800 rpm. A brake applies a constant friction torque of 165 N·m. How long t does it take to stop?
A uniform slender rod of mass 9.5 kg and length 2.1 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 angular velocity ω of the rod as it swings through the vertical position.
A solid cylinder rolls without slipping down a slope inclined at 10° to the horizontal. Use g = 9.81 m/s². Find the acceleration a of its centre.
A uniform slender rod of mass 5.5 kg and length 0.8 m hangs at rest from a frictionless pivot at its top end. A 25 g bullet moving horizontally at 500 m/s hits the rod 0.47 m below the pivot and stays embedded. Find the angular velocity ω of the rod just after the impact.
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