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A simple pendulum consists of a 3.0kg mass attached to a 5.0m long light rope. The...

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Physics

A simple pendulum consists of a 3.0kg mass attached to a 5.0mlong light rope. The upper end of the rope is fixed on the ceilingof the lecture theatre. At time t = 0s the rope holding the massmakes an angle 0.040rad to the left of its equilibrium positionmoving to the right at 0.056rad/s .

a) What is the maximum angle the rope makes with the vertical?answer = 0.057rad

b) When is the first time after t = 0.0s when the rope makes anangle θ = 0? answer = 0.56s

c) What is the time rate of change of θ (ie d/dtθ) at 2.3s?answer = −0.061rad/s

Please post detailed solutions. The answers are included. Thankyou.

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