Question

consider a system of two identical particles . one of the particle is at rest and the other has an acceleration f . then centre of mass has an acceleration ?

Answer 1

Acceleration of Center of mass given by
$cm = \frac{ (m \times f) + ( m \times 0)}{m + m}$
sum of each mass into its acceleration,
upon total mass.
so, we get
Hence, Acceleration Cm = f/2
Same formula is used for calculating velocity as well as position from origin.

Answer 2

Answer:

hope this helps you my dear