A pendulum is made of a uniform slender rod (1 kg, 1.3 m long) pivoted at its top end O, with a thin solid disc of mass 4.5 kg and radius 0.25 m fixed to its lower end. The disc swings in its own plane and its centre is 1.55 m below O. Find the mass moment of inertia IO of the pendulum about O.
A pendulum is made of a uniform slender rod (4 kg, 0.9 m long) pivoted at its top end O, with a solid sphere of mass 2.5 kg and radius 0.25 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 uniform slender rod of mass 18.5 kg and length 2.8 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 4 kg block hangs from a light cord wrapped around a pulley, a uniform solid disc of mass 19 kg and radius 0.3 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 of mass 18 kg rolls without slipping at 10 m/s. What percentage p of its total kinetic energy is rotational?
A thin hoop of mass 18 kg rolls without slipping at 5.5 m/s. What percentage p of its total kinetic energy is rotational?
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