A pendulum is made of a uniform slender rod (2.5 kg, 1.4 m long) pivoted at its top end O, with a thin solid disc of mass 7.5 kg and radius 0.2 m fixed to its lower end. The disc swings in its own plane and its centre is 1.6 m below O. Find the mass moment of inertia IO of the pendulum about O.
A pendulum is made of a uniform slender rod (3 kg, 0.9 m long) pivoted at its top end O, with a thin solid disc of mass 7 kg and radius 0.2 m fixed to its lower end. The disc swings in its own plane and its centre is 1.1 m below O. Find the mass moment of inertia IO of the pendulum about O.
A uniform slender rod of mass 2 kg and length 1.1 m is pinned at one end and released from rest in a horizontal position. Ignore friction and use g = 9.81 m/s². Find the speed v of the free end as the rod swings through the vertical position.
A uniform slender rod of mass 9.5 kg and length 2.3 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 solid cylinder of mass 0.5 kg rolls without slipping at 1.5 m/s. Find its rotational kinetic energy Erot.
A hollow sphere of mass 4.5 kg rolls without slipping at 2.5 m/s. Find its total kinetic energy Ek.
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