Q. A coin is placed on a horizontal platform, which undergoes horizontal SHM about a mean position O. If the coin placed on platform does not slip, coefficient of friction between the coin and the platform is . The amplitude of oscillation is gradually increased. The coin will begin to slip on the platform for the first time

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Solution:

Let be the mean position and be the distance of coin from . The coin will slip if centrifugal force on coin just becomes equal to force of friction
The coin will slip if maximum amplitude