A block rides on a piston that is moving vertically with simple harmonic motion. The maximum speed of the piston is 2 m/s. At what minimum amplitude of motion will the block and piston separate? (g=10m/s2)
vmax=Aω=2m/s . . . .(1)
amax=ω2A=g=10m/s2 . . . . (2)
For separation, the minimum amplitude should be A.
from Eqn. (1) and (2), we see that :
A = 0.4 m = 40 cm