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

2005 3 questions

1. Q832005 · 28 Apr 2005 · Shift 1

   An annular ring with inner and outer radii $R_1$ and $R_2$ is rolling without slipping with a uniform angular speed. The ratio of the forces experienced by the two particles situated on the inner and outer parts of the ring, $\frac{F_1}{F_2}$ is

   1. A.${\left(\frac{R_1}{R_2}\right)}^2$
   2. B.$\frac{R_2}{R_1}$
   3. C.$\frac{R_1}{R_2}$
   4. D.$1$
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   Answer: C

2. Q892005 · 28 Apr 2005 · Shift 1

   A body $A$ of mass $M$ while falling vertically downwards under gravity breaks into two-parts; a body $B$ of mass $\frac{1}{3}M$ and a body $C$ of mass $\frac{2}{3}M$. The center of mass of bodies $B$ and $C$ taken together shifts compared to that of body $A$ towards

   1. A.does not shift
   2. B.depends on height of breaking
   3. C.body $B$
   4. D.body $C$
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   Answer: A

3. Q902005 · 28 Apr 2005 · Shift 1

   The moment of inertia of a uniform semicircular disc of mass $M$ and radius $r$ about a line perpendicular to the plane of the disc through the center is

   1. A.$\frac{2}{5}M{r}^2$
   2. B.$\frac{1}{4}Mr$
   3. C.$\frac{1}{2}M{r}^2$
   4. D.$M{r}^2$
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   Answer: C