Work Power and Energy 5 Question 8

10. A particle is suspended vertically from a point $O$ by an inextensible massless string of length $L$. A vertical line $A B$ is at a distance $L / 8$ from $O$ as shown in figure. The object is given a horizontal velocity $u$. At some point, its motion ceases to be circular and eventually the object passes through the line $A B$. At the instant of crossing $A B$, its velocity is horizontal. Find

$u$.

(1999, 10M)

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Answer:

Correct Answer: 10. (b)

Solution:

  1. $l _1=2 l _2 \Rightarrow l _1=\frac{2}{3} l$

Force constant $k \propto \frac{1}{\text { length of spring }}$



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