The following figure depicts a circular motion. The radius of the circle, the period of…

Physics · JEE Advanced · NTA ExamsOscillations and Waves

The following figure depicts 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 :
 Shape Description automatically generated with low confidence
  1. \(x(t)=a \cos \left(\frac{2 \pi t}{4}+\frac{\pi}{4}\right)\)
  2. \(x(t)=a \cos \left(\frac{\pi t}{4}+\frac{\pi}{4}\right)\)
  3. \(x(t)=a \sin \left(\frac{2 \pi t}{4}+\frac{\pi}{4}\right)\)
  4. \(x(t)=a \cos \left(\frac{\pi t}{3}+\frac{\pi}{2}\right)\)

Answer

(A) x(t)=a ( 2 t 4 + 4 )

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