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Question

A particle executing SHM has a maximum speed of 30cms1 and a maximum acceleration of 60cms2. The period of oscillation is:
  1. π
  2. π2s
  3. 2π15s
  4. 2π

A
π2s
B
π
C
2π
D
2π15s
Solution
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Maximum velocity Vmax=Aw=30cm s1
Maximum acceleration amax=A2w=60cm s1
Where A=Amplitudew=angular frequency
A2w=60
A×30=60A=2cm
w=302s1=15sec1
T=2πw=2π15sec

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