Centre of Mass & Rotational Motion · JEE Main previous year questions

2009 2 questions

1. Q332009 · 27 Apr 2009 · Shift 1

   A thin uniform rod of length $l$ and mass $m$ is swinging freely about a horizontal axis passing through its end. Its maximum angular speed is $\omega$. Its center of mass rises to a maximum height of:

   1. A.$\frac{1}{6}\frac{l\omega }{g}$
   2. B.$\frac{1}{2}\frac{l^2{\omega }^2}{g}$
   3. C.$\frac{1}{6}\frac{l^2{\omega }^2}{g}$
   4. D.$\frac{1}{3}\frac{l^2{\omega }^2}{g}$
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   Answer: C

2. Q532009 · 27 Apr 2009 · Shift 1
   
   1. A.${\sin }^{-1}\left(\sqrt{3}/2\right)$
   2. B.${\sin }^{-1}\left(2/\sqrt{3}\right)$
   3. C.${\sin }^{-1}\left(\frac{1}{\sqrt{3}}\right)$
   4. D.${\sin }^{-1}\left(1/2\right)$
   Show answer

   Answer: C