A flywheel of mass 150 kg with a radius of gyration of 0.25 m is accelerated uniformly from rest to 800 rpm. The driving torque is a constant 52 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 9 kg and radius 0.05 m fixed to its lower end. The centre of the sphere is 1.15 m below O. Find the mass moment of inertia IO of the pendulum about O.
A motor brings a flywheel with a moment of inertia of 27 kg·m² from rest up to 3000 rpm in 15 s. Ignoring losses, find the average power Pavg it delivers, in kW.
A uniform slender rod of mass 13.5 kg and length 2.4 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 thin hoop starts from rest and rolls without slipping down a slope inclined at 25° to the horizontal. Use g = 9.81 m/s². Its radius is 0.05 m. Find its angular velocity ω after it has rolled 2.5 m along the slope.
A solid sphere rolls without slipping down a slope inclined at 15° to the horizontal. Use g = 9.81 m/s². Find the acceleration a of its centre.
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