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MHT CET 2021 (24 Sep, Shift 1) · Critical Speed & Looping

Critical Speed & Looping question from MHT CET 2021 (24 Sep, Shift 1)

Q12MHT CET 2021 · 24 SEP · SHIFT 1Easy

Critical Speed & Looping

A body attached to one end of a string performs motion along a vertical circle. Its centripetal acceleration, when the string is horizontal, will be [ $g =$ acceleration due to gravity]

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Answer: (c)

Taking the body just completing the circle: $v_{top}^2 = gr$
String horizontal is $r$ below the top: $v^2 = gr + 2gr = 3gr$
$a_c = \frac{v^2}{r} = 3g$ , so the answer is (c) 3g.

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