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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 20cm. A body suspended from this spring, when displaced and released, oscillates with period of 0.60s. What is the weight of the body?

Text Solution

Verified by Experts

Force constant of the spring
`k=(Mg)/x=(50xx9.8)/0.20=2450`N/m
The time period of oscillations is given by `T=2pisqrt(M/k)`
`:.M=(T^(2)k)/(4pi^(2))=((0.60)^(2)xx2450)/(2pi^(2))`
`=22.36` kg
Weight of the body `=Mg=22.36xx9.8`
`=219.13N`
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