List of top Physics Questions on Center of Mass asked in AP EAPCET

Three bodies A, B, and C of masses 2 kg, 3 kg, and 5 kg respectively are projected simultaneously with the same speed from the roof of a tower. The body A is thrown vertically upwards, body B is thrown vertically downwards and body C is projected horizontally. The acceleration of the centre of mass of the system of three bodies is (Acceleration due to gravity \( = 10 \, m \, s^{-2} \))

A thin square shaped copper plate of uniform mass distribution of side 4 m has its centre of mass at (2, 2). If at its top right corner, a square of 2 m side is cut from the plate, the centre of mass of the remaining plate is:

If three particles of masses $2m$, $m$ and $4m$ are moving in three mutually perpendicular directions with velocities $3\text{ ms}^{-1}$, $4\text{ ms}^{-1}$ and $3\text{ ms}^{-1}$ respectively, then the magnitude of the velocity of the center of mass of the system of three particles is

Masses \(\frac{1}{2}\) are placed at \(x = N\) on the x-axis where \(N = -1, 0, 1, 2, \dots\). If the total mass of the system is M, then the position of the centre of mass of the system is:

Masses \[ m,\ \left(\frac{1}{2}\right)\frac{1}{2}m,\ \left(\frac{1}{2}\right)^2\frac{1}{3}m,\ \ldots,\ \left(\frac{1}{2}\right)^{N-1}\frac{1}{N}m,\ \ldots \infty \] are placed at \[ x=1,2,3,\ldots,N,\ldots \infty \] respectively. If the total mass is \(M\), then the centre of mass of the system is