A pendulum is made of a uniform slender rod (3.5 kg, 1.2 m long) pivoted at its top end O, with a thin solid disc of mass 3 kg and radius 0.1 m fixed to its lower end. The disc swings in its own plane and its centre is 1.3 m below O. Find the mass moment of inertia IO of the pendulum about O.
A flywheel is a uniform solid disc of mass 180 kg and radius 0.7 m. It spins at 1700 rpm. Find its kinetic energy Ek in kJ.
A shaft transmits 105 kW at 2600 rpm. Find the torque T in the shaft.
A uniform slender rod of mass 10 kg and length 0.7 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 thin hoop starts from rest and rolls without slipping down a slope inclined at 35° to the horizontal. Use g = 9.81 m/s². Find its speed v after it has rolled 8.5 m along the slope.
A hollow sphere starts from rest and rolls without slipping down a slope inclined at 25° to the horizontal. Use g = 9.81 m/s². Find its speed v after it has rolled 5.5 m along the slope.
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