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Two masses $$A$$ and $$B$$, each of mass $$M$$ are fixed together by a massless spring. A force acts on the mass $$B$$ as shown in figure. If the mass $$A$$ starts moving away from mass $$B$$ with acceleration $$a$$, then the acceleration of mass $$B$$ will be:
For mass A (moving leftward away from B): $$F_s = Ma$$
For mass B (taking leftward force as positive): $$F_{\text{net}} = F - F_s$$
$$\implies M a_B = F - Ma$$
$$\implies a_B = \frac{F - Ma}{M}$$
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