A pendulum is made of a uniform slender rod (4.5 kg, 0.8 m long) pivoted at its top end O, with a solid sphere of mass 7.5 kg and radius 0.15 m fixed to its lower end. The centre of the sphere is 0.95 m below O. Find the mass moment of inertia IO of the pendulum about O.
A flywheel of mass 160 kg with a radius of gyration of 0.55 m is accelerated uniformly from 500 rpm to 1400 rpm. This takes 18 s. Ignoring friction, find the constant torque T needed.
A uniform slender rod of mass 3.5 kg and length 2.1 m is pinned at one end and released from rest in a horizontal position. Ignore friction and use g = 9.81 m/s². Find the angular velocity ω of the rod as it swings through the vertical position.
A uniform slender rod of mass 6.5 kg and length 1.5 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 hollow sphere of mass 7.5 kg rolls without slipping at 1.5 m/s. What percentage p of its total kinetic energy is rotational?
A solid sphere of mass 16.5 kg rolls without slipping at 3.5 m/s. What percentage p of its total kinetic energy is rotational?
Full step-by-step solutions: practise this topic on examproblems.com.