The scale of spring balance reading from 0 to 10 kg is 37cm long. A body suspended from the balance is found to oscillate vertically with a frequency of 10/π Hz. Calculate the mass of the body attached to the spring.
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Explanation:
Time period T =2π
k
m
=0.1×π
Angular velocity ω=
T
2π
=20rad/s
for 'k' the spring constant at maximum reading x=0.25 m extension:
M=10kg
Mg=−kx
k- spring constant ; g -acceleration due to gravity
k=392.4N/m
Now
2π
k
m
=0.1×π
putting the value of k .
m=0.98kg
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