A block is resting on a piston which is moving vertically with simple harmonic motion of period 1.0 second. At what amplitude of motion will the block and piston separate? What is the maximum velocity of the piston at this amplitude?

Options

A. maximum amplitude of the block is 0.25 m
B. maximum velocity of the blocis is 1.57 m/s
C. maximum acceleration of the block is 20 m`//s^(2)`
D. maximum amplitude of the blocks is 0.50 m

Answer

AB

Explanation

`v_(max)=m omega^(2)A `
`=g/(4pi^(2))`
`V_(max)=A omega=2pixx1/4 =(pi)/2`
`a_(max)=A omega^(2) =1/4 xx4pi^(2) =10`