A flywheel of mass 150 kg with a radius of gyration of 0.15 m is accelerated uniformly from rest to 1400 rpm. The driving torque is a constant 38 N·m and friction can be ignored. How long t does this take?
A pendulum is made of a uniform slender rod (3 kg, 1.3 m long) pivoted at its top end O, with a thin solid disc of mass 6 kg and radius 0.2 m fixed to its lower end. The disc swings in its own plane and its centre is 1.5 m below O. Find the mass moment of inertia IO of the pendulum about O.
A flywheel with a moment of inertia of 26 kg·m² spins at 1100 rpm. A brake applies a constant friction torque of 175 N·m. How many revolutions N does the flywheel make before it stops?
A motor delivers a torque of 680 N·m at 1000 rpm. Find its power output P in kW.
A uniform slender rod of mass 9 kg and length 1.7 m hangs at rest from a frictionless pivot at its top end. A 30 g bullet moving horizontally at 160 m/s hits the rod 1.33 m below the pivot and stays embedded. Find the angular velocity ω of the rod just after the impact.
A hollow sphere of mass 4.5 kg rolls without slipping at 10 m/s. What percentage p of its total kinetic energy is rotational?
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