Kinematics Question 532

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 it’s swing below which the string would slacken before the block reaches the top it’s [DCE 1999, 2001]

Options:

A) $ Rg $

B) $ {{(Rg)}^{2}} $

C) $ R/g $

D) $ \sqrt{Rg} $

Show Answer

Answer:

Correct Answer: D

Solution:

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

therefore $ v=\sqrt{gR} $



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