For a body, centre of volume is defined as $\frac{{\int {r.dV} }}{{\int {dV} }}$ over complete body, where $dV$ is small volume of body and $\vec r$ is. position vector of that small volume from origin
For a body of uniform density center, of volume will be same as center of mass
For a body of uniform density center of volume will be volunie time positionvector of center of mass
For a body of uniform density center of volume will be mass time position vector of center of mass
For a body of uniform density center of volume never be equal to volume time position of center of mass
Seven identical homogeneous bricks, each of length $L$ , are arranged as shown in figure. Each brick is displaced with respect to the one in contacts by $\frac{L}{{10}}$ . Calculate the $x$-co-ordinate of the centre of mass of this system relative to the origin $O$ as shown
If a force $10 \widehat i +15 \widehat j + 25 \widehat k$ acts on a system and gives an acceleration $2 \widehat i + 3 \widehat j - 5 \widehat k$ to the centre of mass of the system, the mass of the system is
Particles of masses $m, 2m, 3m,......nm$ $grams$ are placed on the same line at distances $l, 2l, 3l,....nl\, cm$ from a fixed point. The distance of centre of mass of the particles from the fixed point in centimetres is
Two semicircular rings of linear mass densities $\lambda $ and $3\lambda $ and of radius $R$ each are joining to form a complete ring. The distance of the centre of the mass of complete ring from its geometrical centre is