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Questions  

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

a
25m/s2
b
4π25m/s2
c
2π25m/s2
d
4π2m/s2

detailed solution

Correct option is B

For simple harmonic motion, the acceleration of a particle is given by   a=−Aw2sinwt . Hence the maximum acceleration of the particle is  amax=Aω2.  From the graph, time period of oscillation is 0.2 s. Using the relation   ω=2πTHence,  vmax=Aω2=52π52=4π25  ms−2

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The acceleration a of a particle undergoing S.H.M. is shown in the figure. Which of the labelled points corresponds to the particle being at – xmax 


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