A pendulum is made of a uniform slender rod (5 kg, 1 m long) pivoted at its top end O, with a thin solid disc of mass 5.5 kg and radius 0.15 m fixed to its lower end. The disc swings in its own plane and its centre is 1.15 m below O. Find the mass moment of inertia IO of the pendulum about O.
A flywheel of mass 280 kg has a radius of gyration of 0.3 m about its axis. It spins at 1800 rpm. Find its kinetic energy Ek in kJ.
A flywheel with a moment of inertia of 4.5 kg·m² spins at 800 rpm. A brake applies a constant friction torque of 165 N·m. How many revolutions N does the flywheel make before it stops?
A uniform slender rod of mass 12 kg and length 1 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 sphere of mass 9.5 kg rolls without slipping at 4.5 m/s. Find its total kinetic energy Ek.
A uniform slender rod of mass 4 kg and length 1.2 m hangs at rest from a frictionless pivot at its top end. A 5 g bullet moving horizontally at 160 m/s hits the rod 1.03 m below the pivot and stays embedded. Find the angular velocity ω of the rod just after the impact.
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