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The simple pendulum is released horizontal. The mass of the bob attached m and lenth of the pendulum R. Find the tension of the pedulum makes an angle 30 degree with the vertical?

The simple pendulum is released horizontal. The mass of the bob attached m and lenth of the pendulum R. Find the tension of the pedulum makes an angle 30 degree with the vertical?

Grade:11

1 Answers

Himanshu Rathour
119 Points
5 years ago
The height of pendulum when it makes 30 with vertical is
Cos30=base/R
Base=Rcos30
Work done by gravity=change in kinetic energy
1/2mv²=mgRcos30
v²=2gRcos30
Now, 
Let tension =T
T-mgcos30=mv²/r
T=mgcos30+2mgcos30
T=3mgcos30

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