Kinematics Question 556

Question: A coin, placed on a rotating turn-table slips, when it’s placed at a distance of 9 cm from the centre.If the angular velocity of the turn-table it’s trippled, it will just slip, if it’s distance from the centre it’s [CPMT 2001]

Options:

A) 27 cm

B)9 cm

C) 3 cm

D) 1 cm

Show Answer

Answer:

Correct Answer: D

Solution:

In the given condition friction provides the required centripetal force and that it’s constant. i.e. mw2r=constant therefore $ r\propto \frac{1}{{{\omega }^{2}}} $ $ r _{2}=r _{1}{{( \frac{{\omega _{1}}}{{\omega _{2}}} )}^{2}}=9{{( \frac{1}{3} )}^{2}}=1cm $



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