A pendulum is made of a uniform slender rod (4 kg, 1 m long) pivoted at its top end O, with a solid sphere of mass 5 kg and radius 0.25 m fixed to its lower end. The centre of the sphere is 1.25 m below O. Find the mass moment of inertia IO of the pendulum about O.
A pendulum is made of a uniform slender rod (2 kg, 0.4 m long) pivoted at its top end O, with a solid sphere of mass 2.5 kg and radius 0.25 m fixed to its lower end. The centre of the sphere is 0.65 m below O. Find the mass moment of inertia IO of the pendulum about O.
A shaft transmits 48.5 kW at 1000 rpm. Find the torque T in the shaft.
A uniform slender rod of mass 10 kg and length 1.3 m is pinned at one end and held horizontal. It is released from rest. Use g = 9.81 m/s². Find its angular acceleration α just after release.
A solid sphere rolls without slipping down a slope inclined at 35° to the horizontal. Use g = 9.81 m/s². Find the smallest coefficient of static friction μs that prevents it from slipping.
A thin hoop rolls without slipping down a slope inclined at 10° to the horizontal. Use g = 9.81 m/s². It starts from rest. How long t does it take to roll 3 m down the slope?
Full step-by-step solutions: practise this topic on examproblems.com.