A bob is suspended from a crane by a cable of length l = 5 m . The crane and load are moving at a constant speed v 0 . The crane is stopped by a bumper and the bob on the cable swings out an angle o

Question

A bob is suspended from a crane by a cable of length l = 5 m . The crane and load are moving at a constant speed v 0 ​ . The crane is stopped by a bumper and the bob on the cable swings out an angle of 60°. Find the initial speed v 0 ​ . ( g = 9.8 m / s 2 )

TestHub · Accepted Answer

Energy conservation from the moving point to the 60° swing: ​ 2 1 ​ m v 0 2 ​ = m g l ( 1 − cos 6 0 ∘ ) = 2 m g l ​ v 0 ​ = g l ​ = 9.8 × 5 ​ = 49 ​ = 7 m / s . ​

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