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NEET · Physics · STD 11 - 3.2 motion in plane

The radius of circle the period of revolution initial position and sense of revolution are indicated in the figure. \(y-\)projection of the radius vector of rotating particle \(\mathrm{P}\) is

  1. A \(y(t)=-3 \cos 2 \pi t,\) where \(y\) in \(m\)
  2. B \(y(t)=4 \sin \left(\frac{\pi t}{2}\right),\) where \(y\) in \(m\)
  3. C \(y(t)=3 \cos \left(\frac{3 \pi t}{2}\right),\) where \(y\) in \(m\)
  4. D \(y(t)=3 \cos \left(\frac{\pi t}{2}\right),\) where \(y\) in \(m\)
Verified Solution

Answer & Solution

Correct Answer

(D) \(y(t)=3 \cos \left(\frac{\pi t}{2}\right),\) where \(y\) in \(m\)

Step-by-step Solution

Detailed explanation

\(\omega=\frac{2 \pi}{4}=\frac{\pi}{2}\) For \(y-\)projection,
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