For determining centre of mass of a body why a body is considered as composited of multiple of small mass elements ?
There are large number of particles (atoms or molecules) in a rigid body and distance between particles is small. Hence, it is not possible the sum of multiplication of mass and distance and hence body is considered as small element of mass in $n$ divisions.
Two uniform plates of the same thickness and area but of different materials, one shaped like an isosceles triangle and the other shaped like a rectangle are joined together to form a composite body as shown in the figure alongside.If the centre of mass of the composite body is located at the mid-point of their common side, then the ratio between masses of the triangle to that of the rectangle is
In the figure shown find out the distance of centre of mass of a system of a uniform circular plate of radius $3R$ from $O$ in which a hole of radius $R$ is cut whose centre is at $2R$ distance from centre of large circular plate
On a horizontal frictionless frozen lake, a girl $36 \,kg$ and a box $9 \,kg$ are connected to each other by means of a rope. Initially, they are $20 \,m$ apart. The girl exerts a horizontal force on the box, pulling it towards her. How far has the girl travelled when she meets the box?
Two particles of masses $m_1$ and $m_2$ $(m_1 > m_2)$, initially at rest, move towards each other under an inverse square law force of attraction. Pick out the correct statement about the centre of mass $(CM)$ of the system
The linear mass density $(\lambda)$ of a rod of length $L$ kept along $x$-axis varies as $\lambda=\alpha+\beta x$; where $\alpha$ and $\beta$ are positive constants. The centre of mass of the rod is at ..........