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A simple pendulum of length L and bob of mass M if displaced from its equilibrium position O to a position P so that height of P above O is h. It is then released. What is the tension in the string when the bob passes through the equilibrium position O? neglect friction v is the velocity of the Bob at O.

A simple pendulum of length L and bob of mass M if displaced from its equilibrium position O to a position P so that height of P above O is h. It is then released. What is the tension in the string when the bob passes through the equilibrium position O? neglect friction v is the velocity of the Bob at O.

Grade:12th pass

2 Answers

Saurabh Koranglekar
askIITians Faculty 10335 Points
2 years ago
576-24_IMG_20200321_134913.jpg
Vikas TU
14149 Points
2 years ago
Dear student 
Apply conservation of energy at A and B 0.5mv^2 + 0 = 0+ mgh 
V = 0 at B 
v^2 = 2gh 
Equation of motion at A 
ma = T-mg 
a = v^2/l = 2gh/l
T =mg + m(2gh/l)
T = mg(1+2h/l)
Good Luck 

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