A flywheel of mass 30 kg with a radius of gyration of 0.4 m is accelerated uniformly from rest to 1600 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 150 kg has a radius of gyration of 0.45 m about its axis. It spins at 2800 rpm. Find its kinetic energy Ek in kJ.
A flywheel with a moment of inertia of 25 kg·m² spins at 2800 rpm. A brake applies a constant friction torque of 80 N·m. How long t does it take to stop?
A uniform slender rod of mass 10.5 kg and length 2.7 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 solid sphere starts from rest and rolls without slipping down a slope inclined at 40° to the horizontal. Use g = 9.81 m/s². Find its speed v after it has rolled 9.5 m along the slope.
A uniform solid disc (mass 21 kg, radius 0.15 m) spins freely at 900 rpm about a vertical frictionless shaft. A thin ring of mass 10 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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