Question

# A bob of mass 0.1 kg hung from the ceiling of a room by a string 2 m long is set into oscillation. The speed of the bob at its mean position is $$1 \ m s^{-1}$$. What is the trajectory of the bob if the string is cut when the bob is 1. at one of its extreme positions 2. at its mean position.

Solution

## 1. When the bob is at one of its extreme positions its velocity is zero. Hence if the string is cut, it will fall straight down due to gravitational force. 2. At the mean position the bob has a horizontal velocity of 1 m/s. If the string is cut, bob is acted by vertical gravitational force = a = $$9.8 \ ms^{-2}$$. Hence bob will behave like a projectile and follows a parabolic path. Physics

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