| The radius of circle, the period of revolution, initial position and sense of revolution are indicated in the fig. |
 [NEET 2019] |
| Y-projection of the radius vector of rotating particle P is: |
A) \[(y)t=3cos\left( \frac{3\pi t}{2} \right)\], where y in m
B) \[(y)t=3cos\left( \frac{\pi t}{2} \right)\], where y in m
C) \[(y)t=-3cos2\pi t\], where y in m
D) \[(y)t=4\sin \left( \frac{\pi t}{2} \right)\], where y in m
Correct Answer: B
Solution :
| [b] |
 |
| \[y=r\text{ }cos\theta \] |
| \[y=3\text{ }cos\omega t\] |
| \[y=3\text{ }cos\frac{2\pi }{4}.t\] |
| \[y=3\text{ }cos\frac{2\pi }{2}\] |
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