A body attached to a string of length
describes a vertical circle such that it is just able to cross the highest point. Find the minimum velocity at the bottom of the circle.
Text Solution
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Sol. At higest point C

T + mg = 
but T > 0
⇒ 
⇒ v C > 
∴ V C min = 
Using energy conservation between C & A
mg(2 λ ) +
mv C 2 =
mv A 2 ⇒ mg (2 λ ) =
mv A 2 –
mg λ
⇒ v A =
(min)
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