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Question

A spring balance has a scale that reads 0 to 50 kg. The length of the scale is 20 cm. A body suspended from this balance, when displaced an released, oscillates with period of 0.6sec. What is the mass of the body?
(g=10 ms−2)

A
219.13 N
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B
4.2 N
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C
1.5 kg
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D
3.5 kg
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Solution

The correct option is A 219.13 N
length of scale is 20cm and it can read upto 50 kg. hence for maximum extension correspond to maximum weight . i.e 50×9.8N
Use formula,
F=|Kx|
Where,
x=20cm=20×102m50×9.8=K×20×102K=2450N/m
We have for loaded oscillation
T=2π{mK}m=T2K/4π2=(0.6)2×24504×(3.14)2=22.36kg
Weight =mg
=22.36×9.8=219.13N

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