A pendulum is made of a uniform slender rod (1.5 kg, 1.5 m long) pivoted at its top end O, with a thin solid disc of mass 2 kg and radius 0.15 m fixed to its lower end. The disc swings in its own plane and its centre is 1.65 m below O. Find the mass moment of inertia IO of the pendulum about O.
A flywheel is a uniform solid disc of mass 200 kg and radius 0.8 m. It spins at 1300 rpm. Find its kinetic energy Ek in kJ.
A flywheel with a moment of inertia of 26.5 kg·m² spins at 1300 rpm. A brake applies a constant friction torque of 55 N·m. How many revolutions N does the flywheel make before it stops?
A flywheel with a moment of inertia of 29.5 kg·m² spins at 800 rpm. A brake applies a constant friction torque of 195 N·m. How many revolutions N does the flywheel make before it stops?
A solid cylinder rolls without slipping down a slope inclined at 40° to the horizontal. Use g = 9.81 m/s². It starts from rest. How long t does it take to roll 4 m down the slope?
A hollow sphere rolls without slipping down a slope inclined at 25° to the horizontal. Use g = 9.81 m/s². Find the acceleration a of its centre.
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