Three masses of $2\,kg$, $4\, kg$ and $4\, kg$ are placed at the three points $(1, 0, 0)$ $(1, 1, 0)$ and $(0, 1, 0)$ respectively. The position vector of its center of mass is

  • A

    $\frac{3}{5}\,\hat i + \frac{4}{5}\,\hat j$

  • B

    $\left( {3\hat i + \hat j} \right)$

  • C

    $\frac{2}{5}\,\hat i + \frac{4}{5}\,\hat j$

  • D

    $\frac{1}{5}\,\hat i + \frac{4}{5}\,\hat j$

Similar Questions

A disc of mass $M$ and radius $R$ rolls on a horizontal surface and then rolls up an inclined plane as shown in the figure. If the velocity of the disc is $v,$ the height to which the disc will rise will be

A solid sphere is rolling on a frictionless surface, shown in figure with a translational velocity $v\,\,m/s.$  If it is to climb the inclined surface then $v$ should be

A string is wrapped around a disc of mass $M$ and radius $R$ and the free end is fixed to ceiling. Centre of mass falls down as the disc unwinds the string. The tension in the string is

Two loops $P$ and $Q$ are made from a uniform wire. The radii of $P$ and $Q$ are $r_1$ and $r_2$ respectively, and their moments of inertia are $I_1$ and $I_2$ respectively. If $I_2/I_1=4$ then $\frac{{{r_2}}}{{{r_1}}}$ equals

The moment of inertia of a thin circular lamina of mass $1\,kg$ and diameter $0.2\,metre$ rotating about one of its diameter is