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Q.

The displacement time graph of an oscillating particle is as shown in the diagram.  The equation of motion of the particle is

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a

x=5sin5t

b

x=5sin2π5+π2

c

y=5sinπ21t−1

d

y=5sin5π2t+π2

answer is B.

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Detailed Solution

The equation of simple harmonic motion is given by x=Asinωt+ϕ . Using the  value of A = 5 m, ω=2π5 and  ϕ=π2, we get  x=5sin2π5t+π2
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The displacement time graph of an oscillating particle is as shown in the diagram.  The equation of motion of the particle is