A flywheel of mass 200 kg with a radius of gyration of 0.3 m is accelerated uniformly from 700 rpm to 1000 rpm. This takes 20 s. Ignoring friction, find the constant torque T needed.
A uniform slender rod of mass 2.5 kg and length 0.4 m rotates about an axis O perpendicular to the rod, 0.2 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 27.5 kg·m² from rest up to 2600 rpm in 3 s. Ignoring losses, find the average power Pavg it delivers, in kW.
A uniform slender rod of mass 7 kg and length 2.3 m is pinned at one end and released from rest in a horizontal position. A small ball of mass 2 kg is fixed to its free end. Ignore friction and use g = 9.81 m/s². Find the speed v of the free end as the rod swings through the vertical position.
A thin hoop rolls without slipping down a slope inclined at 25° to the horizontal. Use g = 9.81 m/s². It starts from rest. How long t does it take to roll 1.5 m down the slope?
A uniform solid disc (mass 28 kg, radius 0.45 m) spins freely at 350 rpm about a vertical frictionless shaft. A thin ring of mass 17 kg and the same radius is dropped onto it from rest, centred on the shaft, and the two quickly spin together. How much kinetic energy ΔE is lost in the process?
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