A flywheel of mass 60 kg with a radius of gyration of 0.1 m is accelerated uniformly from 500 rpm to 2500 rpm. The driving torque is a constant 13 N·m and friction can be ignored. How long t does this take?
A flywheel of mass 80 kg with a radius of gyration of 0.2 m is accelerated uniformly from 200 rpm to 1900 rpm. The driving torque is a constant 28 N·m and friction can be ignored. How long t does this take?
A uniform slender rod of mass 9 kg and length 2.2 m is pinned at one end and released from rest in a horizontal position. A small ball of mass 3.5 kg is fixed to its free end. 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 flywheel with a moment of inertia of 34 kg·m² spins at 2900 rpm. A brake applies a constant friction torque of 190 N·m. How long t does it take to stop?
A solid sphere of mass 4 kg rolls without slipping at 9.5 m/s. What percentage p of its total kinetic energy is rotational?
A hollow sphere rolls without slipping down a slope inclined at 35° to the horizontal. Use g = 9.81 m/s². Find the acceleration a of its centre.
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