A block is kept on a horizontal table. The stable is undergoing simple harmonic motion of frequency `3Hz` in a horizontal plane. The coefficient of static friciton between block and the table surface is `0.72.` find the maximum amplitude of the table at which the block does not slip on the surface.

Explanation

`a_(max) = omega^(2) A , f_(max) = mu_(s) mg`
or `am_(max) = mu_(s) mg or m omega^(2) A = mu_(s) mg`
`:. A = (mu_(s)g)/(omega^(2)) = (0.72 xx 10)/((2 pi f)^(2)) = (0.72 xx g)/(4 pi^(2) xx 3^(2))`
`= 0.02 m = 2 cm`