Question

Consider the following the equations:
(A) $\overrightarrow{R}=\frac{1}{M}\sum _i{m}_i\overrightarrow{r_i}$
and
(B) ${\overrightarrow{a}}_{CM}=\frac{\overrightarrow{F}}{M}$
In a noninertial frame
(a) both are correct
(b) both are wrong
(c) A is correct but B is wrong
(d) B is correct but A is wrong.

Answer 1

(c) A is correct but B is wrong

In a non-inertial frame, the position of centre of mass of the particle does not change but an additional pseudo force acts on it.