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A bob of mass m, suspended by a string of length l_{1}, is giv

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A bob of mass $m$ , suspended by a string of length $l_{1}$ , is given a minimum velocity required to complete a full circle in the vertical plane, At the highest point, it collides elastically with another bob of mass $m$ suspended by a string of length $l_{2}$ , which is initially at rest. Both the strings are massless and inextensible. If the second bob, after collision acquires the minimum speed required to complete a full circle in the vertical plane, the ratio $l_{1} / l_{2}$ is

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Updated on: Oct 31, 2022

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Mechanics Volume 2 (DC Pandey)

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A bob of mass

m

, suspended by a string of length

l_{1}

, is given a minimum velocity required to complete a full circle in the vertical plane, At the highest point, it collides elastically with another bob of mass

m

suspended by a string of length

l_{2}

, which is initially at rest. Both the strings are massless and inextensible. If the second bob, after collision acquires the minimum speed required to complete a full circle in the vertical plane, the ratio

l_{1} / l_{2}

5 mins ago

Discuss this question LIVE

5 mins ago

Text solutionVerified

Velocity of first bob at highest point

v_{1} = g R = g l_{1}

(to just complete the vertical circle)
= velocity of second bob just after elastic collision.

=

velocity of second bob at the bottommost point

= 5 g l_{2} \Rightarrow \frac{l _{1}}{l _{2}} = 5

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Question Text	A bob of mass $m$ , suspended by a string of length $l_{1}$ , is given a minimum velocity required to complete a full circle in the vertical plane, At the highest point, it collides elastically with another bob of mass $m$ suspended by a string of length $l_{2}$ , which is initially at rest. Both the strings are massless and inextensible. If the second bob, after collision acquires the minimum speed required to complete a full circle in the vertical plane, the ratio $l_{1} / l_{2}$ is
Updated On	Oct 31, 2022
Topic	Oscillations
Subject	Physics
Class	Class 11
Answer Type	Text solution:1 Video solution: 3
Upvotes	434
Avg. Video Duration	4 min

Text solutionVerified

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