1.

A spring balance has a scale that reads from 0 to 50 kg. The length of the scale is 20 cm. A body suspended from this spring, when displaced and released oscillates with period of 0.60 s. What is the weight of the body?

Answer»

SOLUTION :Here `m=50kg,` MAX extension
`y=20-0=20cm=0.2m,T=0.6s`
max FORCE `F=mg=50xx9.8N`
`:.k=F/u=(50xx9.8)/0.2=2450Nm^(-1)`
there As
`T=2pisqrt(m/k),m=(T^(2)k)/(4pi^(2))=((0.6)^(2)xx2450)/(4xx(3.14)^(2))=22.35kg`
`:.` Weight of BODY `=mg=22.35xx9.8=219.1N`


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