a tower outside the Houses of Parliament in London has a famous clock, Big Ben,

Question

a tower outside the Houses of Parliament in London has a famous clock, Big Ben, the number of it 13 ton chiming bell. The hour hand of each clock face is 2.7 m long and has a mass of 60.0 kg. Assume the hour hand to be uniform rod attached at one end (a) what is the torque on the clock mechanism due to weight of one of the four hour hands when the clock strikes noon? the axis of rotation is perpendicular to the clock face and through the center of the clock (b) what is the torque due to the weight of one hour hand above the same axis when the clock tolls 9:00 AM

Explanation / Answer

The center of mass is in the middle of the hour hand of Big Bum, that is L=2.7=1.35m, and L is the lever arm in our problem; Torq T=L*mg*sin(b), where b is angle between arm and vector of gravity; At noon b=180° and T=0; at 9 o’clock b=90° and T=1.35*60*9.8

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