A flywheel of mass 140 kg with a radius of gyration of 0.3 m is accelerated uniformly from rest to 900 rpm. The driving torque is a constant 79 N·m and friction can be ignored. How long t does this take?
A pendulum is made of a uniform slender rod (4 kg, 1.5 m long) pivoted at its top end O, with a solid sphere of mass 2 kg and radius 0.1 m fixed to its lower end. The centre of the sphere is 1.6 m below O. Find the mass moment of inertia IO of the pendulum about O.
A uniform slender rod of mass 13.5 kg and length 1.7 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 uniform slender rod of mass 3 kg and length 2.2 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 solid sphere rolls without slipping down a slope inclined at 25° to the horizontal. Use g = 9.81 m/s². Find the smallest coefficient of static friction μs that prevents it from slipping.
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 8 m along the slope.
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