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A spring balance has a scale that reads ...

A spring balance has a scale that reads from 0 to 50kg the length of the scale is 20 cm . A body suspended from this balance, when displaced and released, oscillates with a period of 0.6s. Then the weight of the body will be

A

200 N

B

208 N

C

`219.3 N`

D

`272.1 N`

Text Solution

Verified by Experts

The correct Answer is:
C
Force , `F=mg=50xx9.8N`
`k=F/y=(50xx9.8)/(0.2)=2450Nm^(-1)`
`T=2pi(sqrt(m))/(k)impliesm=(T^(2)k)/(4pi^(2))`
`=((0.6)^(2)xx2450)/(4xx(3.14)^(2))=(0.36xx2450)/(4xx9.85)=882/39.4=22.38xx9.8`
`=219.3`
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