A flywheel of mass 20 kg with a radius of gyration of 0.1 m is accelerated uniformly from 300 rpm to 2200 rpm. The driving torque is a constant 1.8 N·m and friction can be ignored. How long t does this take?
A pendulum is made of a uniform slender rod (4 kg, 1.1 m long) pivoted at its top end O, with a solid sphere of mass 8.5 kg and radius 0.1 m fixed to its lower end. The centre of the sphere is 1.2 m below O. Find the mass moment of inertia IO of the pendulum about O.
A shaft transmits 6.5 kW at 1500 rpm. Find the torque T in the shaft.
A uniform slender rod of mass 15.5 kg and length 0.7 m is pinned at one end and held horizontal. It is released from rest. Use g = 9.81 m/s². Find the vertical force R that the pin exerts on the rod just after release.
A thin hoop rolls without slipping down a slope inclined at 15° to the horizontal. Use g = 9.81 m/s². It starts from rest. How long t does it take to roll 7 m down the slope?
A thin hoop 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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