First slide

Circular motion in horizontal plane

Question

A coin is kept at distance of 10 cm from the centre of a circular turn table. If µ = 0.8 , the frequency of rotation at which the coin just begins to slip is

Moderate

A

62.8 rpm
B

84.54 rpm
C

54.6 rpm
D

32.4 rpm

Solution

$\omega = \sqrt {\frac{{{\mu _s}g}}{r}} = \sqrt {\frac{{0.8 \times 9.8}}{{0.1}}} \,rad\,{\sec ^{ - 1}}$

So revolution per minute of the disc N = $\sqrt{\frac{0.8 \times 9.8}{0.1}} \times \frac{60}{2 π} = 84.54 r p m$

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