Physics Two Dimensional Motion Question 79

Question: A block of mass $ m $ at the end of a string is whirled round in a vertical circle of radius $ R $ . The critical speed of the block at the top of its swing below which the string would slacken before the block reaches the top is

[DCE 1999, 2001]

Options:

A) $ Rg $ B) $ {{(Rg)}^{2}} $ C) $ R/g $ D) $ \sqrt{Rg} $

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Answer:

Correct Answer: D

Solution:

At highest point $ \frac{mv^{2}}{R}=mg $

Therefore $ v=\sqrt{gR} $