When does a body (system) have different centre of gravity and centre of mass ?
Find the center of mass $(x,y,z)$ of the following structure of four identical cubes if the length of each side of a cube is $1$ unit.
Figure shows a composite system of two uniform rods of lengths as indicated. Then the coordinates of the centre of mass of the system of rods are ...........
An object comprises of $a$ uniform ring of radius $R$ and its uniform chord $AB$ (not necessarily made of the same material) as shown. Which of the following can not be the centre of mass of the object
A uniform square wooden sheet of side $a$ has its centre of mass located at point $O$ as shown in the figure below on the left. A square portion of side $b$ of this sheet is cut out to produce an $L$-shaped sheet as shown in the figure on the right.The centre of mass of the L-shaped sheet lies at the point $P$ (in the above diagram), when
A firecracker is thrown with velocity of $30 \,ms ^{-1}$ in a direction which makes an angle of $75^{\circ}$ with the vertical axis. At some point on its trajectory, the firecracker splits into two identical pieces in such a way that one piece falls $27 \,m$ far from the shooting point. Assuming that all trajectories are contained in the same plane, how far will the other piece fall from the shooting point? (Take, $g=10 \,ms ^{-2}$ and neglect air resistance)