A pendulum consists of a 2 kg bob attached to a light string of 4.4 m. The bob i

Question

A pendulum consists of a 2 kg bob attached to a light string of 4.4 m. The bob is struck horizontally so that it had an initial horizontal velocity of 3.4 m/s. What is the angle of the string with the vertical when the bob reaches its maximum height. A pendulum consists of a 2 kg bob attached to a light string of 4.4 m. The bob is struck horizontally so that it had an initial horizontal velocity of 3.4 m/s. What is the angle of the string with the vertical when the bob reaches its maximum height.

Explanation / Answer

PE at greatest height = KE at the lowest point

m g L ( 1 - cos' ) = (1/2) m v^2

g L ( 1 - cos' ) = (1/2) v^2

9.8 * 4.4 * ( 1 - cos ' ) = 0.5 * 3.4^2

cos ' = 0.86595

' = 30 deg

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