A flywheel of mass 110 kg with a radius of gyration of 0.45 m is accelerated uniformly from rest to 1300 rpm. The driving torque is a constant 190 N·m and friction can be ignored. How long t does this take?
A uniform slender rod of mass 1 kg and length 0.7 m rotates about an axis O perpendicular to the rod, 0.25 m from its centre G. Find its mass moment of inertia IO about that axis.
A 6.5 kg block hangs from a light cord wrapped around a pulley, a uniform solid disc of mass 12 kg and radius 0.4 m that turns on a frictionless horizontal axle. The block is released from rest. Use g = 9.81 m/s². Find the angular acceleration α of the pulley.
A uniform slender rod of mass 15.5 kg and length 1.3 m is pinned at one end and held horizontal. It is released from rest. Use g = 9.81 m/s². Find the acceleration atip of the free end just after release.
A solid sphere rolls without slipping down a slope inclined at 35° to the horizontal. Use g = 9.81 m/s². Find the smallest coefficient of static friction μs that prevents it from slipping.
A hollow sphere rolls without slipping down a slope inclined at 40° 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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