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 ...........
$\left(\frac{L}{2}, \frac{2 L}{3}\right)$
$\left(\frac{L}{4}, \frac{2 L}{3}\right)$
$\left(\frac{L}{6}, \frac{2 L}{3}\right)$
$\left(\frac{L}{6}, \frac{L}{3}\right)$
Three point particles of masses $1.0\; \mathrm{kg} .1 .5 \;\mathrm{kg}$ and $2.5\; kg$ are placed at three comers of a right angle triangle of sides $4.0\; \mathrm{cm}, 3.0 \;\mathrm{cm}$ and $5.0\; \mathrm{cm}$ as shown in the figure. The center of mass of the system is at a point
Two point masses $m$ and $M$ are separated by a distance $L$. The distance of the centre of mass of the system from m is
A semicircular portion of radius $'r'$ is cut from a uniform rectangualr plate as shown in figure. The distance of centre of mass $'C'$ of remaining plate, from point $'O'$ is
The centre of gravity of a body on the earth coincides with its centre of mass for a small object whereas for an extended object it may not. What is the qualitative meaning of small and extended in this regard ? For which of the following two coincides ? A building, a pond, a lake, a mountain ?
Consider a two particle system with particles having masses $m_1$ and $m_2$. If the first particle is pushed towards the center of mass through a distance $d$, by what distance should the second particle is moved, so as to keep the centre of mass at the same position?