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Standard XII
Physics
Time Period Independent of Amplitude
Question
A body describing SHM has a maximum acceleration of
8
π
m/s
2
and a maximum speed of 1.6 m/s. Find the period T and the amplitude A.
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Solution
Verified by Toppr
ω
2
A
=
8
π
.............(i)
ω
A
=
1.6
...............(ii)
Solving these two equations we get
ω
=
5
π
rad/s
∴
T
=
2
π
ω
=
2
π
5
π
=
0.4
s
And
A
=
1.6
ω
=
1.6
5
π
=
0.102
m
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