A piston is performing S.H.M. in the vertical direction with a frequency of 0.5 Hz. A block of 10 kg is placed on the piston. The maximum amplitude of the system such that the block remains in contact with the piston is.

Options

A. 1.5 m
B. 1 m
C. 0.1 m
D. 0.5 m

Answer

B

Explanation

(b): For maximum amplitude, `omega^(2)A = g`
`(2pi xx 0.5)^(2) xx` A = 10
`:. A = (10)/(2pixx0.5)^(2)` = 1 m