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A body of mass 1 kg is suspended from a ...

A body of mass `1` kg is suspended from a weightless spring having force consant `600 N//m`. Another body of mass `0.5 kg` moving vertically upwards hits the suspended body with a velocity of `3.0 m//s` and get embedded in it. Find the frequency of oscillations and amplitude of motions.

A

`(10)/(pi)Hz,10Cm`

B

`(10)/(pi)Hz,5Cm`

C

`(5)/(pi)Hz,5Cm`

D

`(5)/(pi)Hz,10Cm`

Text Solution

Verified by Experts

The correct Answer is:
B
`V=(0.5xx3)/((0.5+1))=1m//simpliesK_(max)=U_(max)`
`(1)/(2)xx1.5xx1^(2)=(1)/(2)xx600xxA^(2)`
`A=5cm`
`f=(1)/(2pi)sqrt((k)/(m))=(1)/(2pi)sqrt((600)/(1.5))=(10)/(pi)`
`f=(10)/(pi)Hz`
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