A flywheel of mass 70 kg with a radius of gyration of 0.45 m is accelerated uniformly from 700 rpm to 2300 rpm. The driving torque is a constant 180 N·m and friction can be ignored. How long t does this take?
A uniform slender rod of mass 2 kg and length 0.7 m rotates about an axis O perpendicular to the rod, 0.15 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 7 kg·m² from rest up to 2600 rpm in 29 s. Ignoring losses, find the average power Pavg it delivers, in kW.
A flywheel with a moment of inertia of 17 kg·m² spins at 600 rpm. A brake applies a constant friction torque of 55 N·m. How many revolutions N does the flywheel make before it stops?
A solid cylinder starts from rest and rolls without slipping down a slope inclined at 25° to the horizontal. Use g = 9.81 m/s². Its radius is 0.15 m. Find its angular velocity ω after it has rolled 9 m along the slope.
A uniform slender rod of mass 8.5 kg and length 0.5 m hangs at rest from a frictionless pivot at its top end. A 10 g bullet moving horizontally at 480 m/s hits the rod 0.45 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.
Full step-by-step solutions: practise this topic on examproblems.com.