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Physics Motion in a Plane Mix MCQ (Single Correct)

A simple pendulum consisting of a mass M attached in a string of length L is released from rest at an angle . 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 the figure. The maximum angle which string makes with the vertical after hitting the pin is –

A
cos –1
B
cos –1
C
cos –1
D
cos –1

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Text Solution

Verified by Experts
The correct answer is:
C

At the bottom most point, square of speed of bob,

v 2 = 2 gL(1 – cos )

It will rise further to a height,

h = = L(1 – cos )

or (L – l) (1 – cos ) = L(1 – cos )

= cos –1

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