A flywheel of mass 120 kg with a radius of gyration of 0.2 m is accelerated uniformly from rest to 600 rpm. The driving torque is a constant 100 N·m and friction can be ignored. How long t does this take?
A uniform slender rod of mass 2.5 kg and length 2.2 m rotates about an axis O perpendicular to the rod, 0.7 m from its centre G. Find its mass moment of inertia IO about that axis.
A uniform slender rod of mass 17.5 kg and length 0.9 m is pinned at one end and held horizontal. It is released from rest. Use g = 9.81 m/s². Find the acceleration atip of the free end just after release.
A uniform slender rod of mass 8 kg and length 0.6 m is pinned at one end and released from rest in a horizontal position. A small ball of mass 1.5 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 uniform solid disc (mass 4 kg, radius 0.25 m) spins freely at 500 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?
A hollow 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 4.5 m along the slope.
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