A large horizontal surface moves up and down in SHM with an amplitude of 1 cm. If a mass of 10 kg which is placed on the surface is to remain continually in contact with it, the maximum frequency of SHM will be……….

Options

A. `0.5 Hz`
B. `1.5 Hz`
C. `5 Hz`
D. `10 Hz`

Answer

C

Explanation

For body to remain in contact `a_("max")= g`
`therefore A omega^(2) = g`
`therefore 4pi^(2) f^(2) = (g)/(A)`
`therefore f^(2)= (g)/(4pi^(2)A)`
`therefore f^(2)= (10)/(4(3.14)^(2)xx 0.01)`
`therefore f^(2)= 25.36`
`therefore f= 5.036 Hz`
`therefore f approx 5 Hz`.