The vertical motion of a huge piston in a machine is approximately SHM with a frequency of 1Hz.A block of mass 20 kg is placed on the piston . What is the maximum amplitude of the piston's SHM for the block and the piston to remain together .
Hint `:` `v= (1)/( 2pi)sqrt((k)/(m))`
Find k
For maximum displacement ` x_(max) =A`
For maximum restoring force , `F= - kA = -mg`
`:. A = (mg)/(k) = (mg) /( momega^(2))= (g)/( omega^(2))`

Explanation

`v= (1)/( 2pi)sqrt((k)/(m))`
Find k
For maximum displacement ` x_(max) =A`
For maximum restoring force , `F= - kA = -mg`
`:. A = (mg)/(k) = (mg) /( momega^(2))= (g)/( omega^(2))`