A simple pendulum consisting of a mass $$M$$ attached to a string of length L is released from rest at an angle $$a$$. 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 $$\theta $$ which the string makes with the vertical after hitting the pin is

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TuteeHUB · Accepted Answer

$${{\cos }^{1}}\left[ \frac{L\,\cos a-l}{L+l} \right]$$

TuteeHUB · Answer

$${{\cos }^{1}}\left[ \frac{L\,\cos a+l}{L+l} \right]$$

TuteeHUB · Answer

$${{\cos }^{1}}\left[ \frac{L\,\cos a+l}{L-l} \right]$$

TuteeHUB · Answer

$${{\cos }^{1}}\left[ \frac{L\,\cos a-l}{L-l} \right]$$

1.	A simple pendulum consisting of a mass \[M\] attached to a string of length L is released from rest at an angle \[a\]. 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 \[\theta \] which the string makes with the vertical after hitting the pin is
A.	\[{{\cos }^{1}}\left[ \frac{L\,\cos a+l}{L+l} \right]\]
B.	\[{{\cos }^{1}}\left[ \frac{L\,\cos a+l}{L-l} \right]\]
C.	\[{{\cos }^{1}}\left[ \frac{L\,\cos a-l}{L-l} \right]\]
D.	\[{{\cos }^{1}}\left[ \frac{L\,\cos a-l}{L+l} \right]\]
Answer» D. \[{{\cos }^{1}}\left[ \frac{L\,\cos a-l}{L+l} \right]\]

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