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A simple pendulum consisting of a mass M...

A simple pendulum consisting of a mass M attached to a string of length L is released from rest at an angle `alpha`. A pin is located at a distance l below the pivot point. When the pendulum swings down, the string hits the pin as shown in figure. The maximum angle `theta` which the string makes with the vertical after hitting the pin is

A

`cos^(-1) [(L cos alpha +l)/(L+l)]`

B

`cos^(-1) [(L cos alpha-l)/(L-l)]`

C

`cos^(-1) [(L cos alpha +l)/(L-l)]`

D

`cos^(-1) [(L cos alpha-l)/(L+l)]`

Text Solution

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The correct Answer is:
A
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Knowledge Check

  • A pendulum consists of a small mass m at the end of a string of length L. The pendulum is pulled aside making an angle theta with the vertical and released. Taking the suspension point as the axis, at the instant of release

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