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Question

A spring balance has a scale reading from 0 to 50 kg. The length of the scale is 20 cm. A body suspended to the spring balance when displaced and released oscillates with a period of 0.6 second. The mass off the body is:

A
15 kg
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B
22 kg
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C
50 kg
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D
0.5 kg
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Solution

The correct option is B 22 kg
According to the question,
The maximum mass scale can read M=50kg
The maximum displcement of spring =
length of scale, l=20cm=0.2m
T (time period) =0.6s
Maximum force exerted on the spring F=mg
So,
g=acceleration due to gravity =9.8m/s2
F=50×9.8=490
Since, speing constant,
k=Fl
=4900.2
=2450Nm1
m is suspended from the balance
T=2πmk
Since,
m=(T2π)2×k
=(0.62×3.14)2×2450
22kg

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