A pendulum is made of a uniform slender rod (4 kg, 1.4 m long) pivoted at its top end O, with a thin solid disc of mass 1 kg and radius 0.1 m fixed to its lower end. The disc swings in its own plane and its centre is 1.5 m below O. Find the mass moment of inertia IO of the pendulum about O.
A pendulum is made of a uniform slender rod (5 kg, 1.2 m long) pivoted at its top end O, with a solid sphere of mass 9 kg and radius 0.25 m fixed to its lower end. The centre of the sphere is 1.45 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 2 kg·m² from rest up to 3000 rpm in 50 s. Ignoring losses, find the average power Pavg it delivers, in kW.
A uniform slender rod of mass 3 kg and length 2 m is pinned at one end and held horizontal. It is released from rest. Use g = 9.81 m/s². Find its angular acceleration α just after release.
A hollow sphere rolls without slipping down a slope inclined at 35° to the horizontal. Use g = 9.81 m/s². It starts from rest. How long t does it take to roll 2.5 m down the slope?
A hollow sphere rolls without slipping down a slope inclined at 40° to the horizontal. Use g = 9.81 m/s². Find the acceleration a of its centre.
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