A pendulum is made of a uniform slender rod (4 kg, 0.4 m long) pivoted at its top end O, with a solid sphere of mass 8.5 kg and radius 0.1 m fixed to its lower end. The centre of the sphere is 0.5 m below O. Find the mass moment of inertia IO of the pendulum about O.
A uniform slender rod of mass 4.5 kg and length 2.3 m rotates about an axis O perpendicular to the rod, 0.7 m from its centre G. Find its mass moment of inertia IO about that axis.
A motor brings a flywheel with a moment of inertia of 6 kg·m² from rest up to 2600 rpm in 48 s. Ignoring losses, find the average power Pavg it delivers, in kW.
A flywheel with a moment of inertia of 24 kg·m² spins at 1900 rpm. A brake applies a constant friction torque of 150 N·m. How long t does it take to stop?
A uniform slender rod of mass 6.5 kg and length 1.7 m hangs at rest from a frictionless pivot at its top end. A 30 g bullet moving horizontally at 320 m/s hits the rod 0.93 m below the pivot and stays embedded. Use g = 9.81 m/s². Find the largest angle φ from the vertical through which the rod swings.
A solid sphere of mass 12.5 kg rolls without slipping at 7 m/s. What percentage p of its total kinetic energy is rotational?
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