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Questions  

The displacement time graph of an oscillating particle. Find the maximum velocity  of the particle.

a
2 m/s
b
π m/s
c
2π m/s
d
π2m/s

detailed solution

Correct option is C

For simple harmonic motion, the velocity of a particle is given by  v=Awcoswt .  Hence the maximum velocity of the particle is vmax=Aω . From the graph, time  period of oscillation is 0.2 s. Using the relation  ω=2πT Hence,  vmax=Aω=0.22π0.2=2π  ms−1

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