The figure shows a thin rod, of length L = 2.4 m and negligible mass, that can p

Question

The figure shows a thin rod, of length L = 2.4 m and negligible mass, that can pivot about one end to rotate in a vertical circle. A heavy ball of mass m = 11 kg is attached to the other end. The rod is pulled aside to angle ?0 = 17 and released with initial velocity = 0. What is the speed of the ball at the lowest point?

The figure shows a thin rod, of length L = 2.4 m and negligible mass, that can pivot about one end to rotate in a vertical circle. A heavy ball of mass m = 11 kg is attached to the other end. The rod is pulled aside to angle ?0 = 17½ and released with initial velocity = 0. What is the speed of the ball at the lowest point?

Explanation / Answer

height at that point h = l - lcos = 2.4 - 2.4cos17 = 0.105m

mv2 /2 = mgh

v2 = 2 x 9.81 x 0.105

v = 1.43 m/s

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