A flywheel of mass 10 kg with a radius of gyration of 0.5 m is accelerated uniformly from 900 rpm to 1600 rpm. The driving torque is a constant 92 N·m and friction can be ignored. How long t does this take?
A uniform slender rod of mass 8 kg and length 2.9 m rotates about an axis O perpendicular to the rod, 1.15 m from its centre G. Find its mass moment of inertia IO about that axis.
A flywheel with a moment of inertia of 17 kg·m² spins at 2200 rpm. A brake applies a constant friction torque of 10 N·m. How many revolutions N does the flywheel make before it stops?
A uniform slender rod of mass 4.5 kg and length 1.7 m is pinned at one end and released from rest in a horizontal position. A small ball of mass 3 kg is fixed to its free end. Ignore friction and use g = 9.81 m/s². Find the speed v of the free end as the rod swings through the vertical position.
A solid sphere rolls without slipping down a slope inclined at 30° to the horizontal. Use g = 9.81 m/s². Find the acceleration a of its centre.
A solid cylinder rolls without slipping down a slope inclined at 30° to the horizontal. Use g = 9.81 m/s². Find the smallest coefficient of static friction μs that prevents it from slipping.
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