A flywheel of mass 180 kg with a radius of gyration of 0.55 m is accelerated uniformly from 600 rpm to 2500 rpm. The driving torque is a constant 570 N·m and friction can be ignored. How long t does this take?
A pendulum is made of a uniform slender rod (2.5 kg, 1.4 m long) pivoted at its top end O, with a solid sphere of mass 8 kg and radius 0.2 m fixed to its lower end. The centre of the sphere is 1.6 m below O. Find the mass moment of inertia IO of the pendulum about O.
A 6 kg block hangs from a light cord wrapped around a pulley, a uniform solid disc of mass 7 kg and radius 0.35 m that turns on a frictionless horizontal axle. The block is released from rest. Use g = 9.81 m/s². Find the acceleration a of the block.
An 11 kg block hangs from a light cord wrapped around a pulley, a uniform solid disc of mass 17 kg and radius 0.1 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 solid 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.
A hollow sphere rolls without slipping down a slope inclined at 10° 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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