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Q.

A spring balance has a scale that reads 0 to 20 kg. The length of the scale is 10 cm. A body suspended from this balance, when displaced and released, oscillates with period of πs10. What is the mass of the body 

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a

4.9 kg 
 

b

9.8 kg 
 

c

19.6 kg 
 

d

14.7 kg 
 

answer is A.

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Detailed Solution

Given,

mass m = 20kg

x=10×10-2

The time period of oscillation = π10s

We know that,

K=mgx

K=20×9.810×10-2

K=19.6×102N/m

Now,

T2π=mK

m=KT24π2

m=1960×π1024×π2kg

m=4.9kg

Hence the correct answer is 4.9kg.

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