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

2010 2 questions

1. Q332010 · 25 Apr 2010 · Shift 1

   For a particle in uniform circular motion the acceleration $\vec{a}$ at a point P(R, $\theta$) on the circle of radius R is (here $\theta$ is measured from the x-axis)

   1. A.$-\frac{v^2}{R}\cos \theta \hat{i}+\frac{v^2}{R}\sin \theta \hat{j}$
   2. B.$-\frac{v^2}{R}\sin \theta \hat{i}+\frac{v^2}{R}\cos \theta \hat{j}$
   3. C.$-\frac{v^2}{R}\cos \theta \hat{i}-\frac{v^2}{R}\sin \theta \hat{j}$
   4. D.$\frac{v^2}{R}\hat{i}+\frac{v^2}{R}\hat{j}$
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   Answer: C

2. Q582010 · 25 Apr 2010 · Shift 1
   
   1. A.$-mg{v}_0{t}^2\cos \theta \hat{j}$
   2. B.$mg{v}_{0}t\cos \theta \hat{k}$
   3. C.$-\frac{1}{2}mg{v}_0{t}^2\cos \theta \hat{k}$
   4. D.$\frac{1}{2}mg{v}_0{t}^2\cos \theta \hat{i}$
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   Answer: C