A block of mass 60 kg is supported by two springs as shown. The block is pulled 35
mm down and then released. Find period of vibration, maximum velocity andmaximum acceleration of the block.
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Explanation:
For damped oscillation,
(a)T=
ω
2π
T=
m
K
−(
2m
l
)
2
2π
T=
200
80×1000
−(
1000×2×200
40×1000
)
2
2×3.14
T=
400−
100
1
6.28
T=0.314s
(b)F×A
2
If amplitude gets reduced to half the force will reduce to one fourth.
F∝a
a∝ω
2
So ω will become half.
T=
ω
2π
T=2×0.314=0.628s
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