Q.

The following figure depict a circular motion. The radius of the circle, the period of revolution, the initial position and the sense of revolution are indicated on the figure. The simple harmonic motion of the x – projection of the radius vector of the rotating particle P can be shown as

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a

x(t)=acos2πt4+π4

b

x(t)=asin2πt4+π4

c

x(t)=acosπt4+π4

d

x(t)=acosπt3+π2

answer is D.

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Detailed Solution

x(t)=acos2πt4+π4

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