A flywheel of mass 110 kg with a radius of gyration of 0.15 m is accelerated uniformly from 600 rpm to 2400 rpm. The driving torque is a constant 67 N·m and friction can be ignored. How long t does this take?
A flywheel of mass 130 kg with a radius of gyration of 0.4 m is accelerated uniformly from rest to 1700 rpm. The driving torque is a constant 340 N·m and friction can be ignored. How long t does this take?
A uniform slender rod of mass 17.5 kg and length 1.2 m is pinned at one end and held horizontal. It is released from rest. Use g = 9.81 m/s². Find the vertical force R that the pin exerts on the rod just after release.
A motor brings a flywheel with a moment of inertia of 22.5 kg·m² from rest up to 2800 rpm in 3 s. Ignoring losses, find the average power Pavg it delivers, in kW.
A uniform slender rod of mass 6.5 kg and length 0.9 m hangs at rest from a frictionless pivot at its top end. A 40 g bullet moving horizontally at 280 m/s hits the rod 0.36 m below the pivot and stays embedded. Find the angular velocity ω of the rod just after the impact.
A uniform slender rod of mass 1 kg and length 0.6 m hangs at rest from a frictionless pivot at its top end. A 15 g bullet moving horizontally at 480 m/s hits the rod 0.34 m below the pivot and stays embedded. Find the angular velocity ω of the rod just after the impact.
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