Bling Fizikst
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- Homework Statement
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- Relevant Equations
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I assumed the length of the rod to be ##6l## for simpler calculations . Here , $$a_{cm}=\frac{F}{m+2m}=\frac{F}{3m}$$
Here , CM is located at a distance of ##2l## from the ##2m## mass . Writing the moment equation : $$\alpha \times \left[ m(4l)^2+2m(2l)^2\right]=Fl\implies \alpha=\frac{F}{24ml}\implies \alpha l=\frac{F}{24m}$$ $$a_{\text{mid}} = a_{CM}+\alpha l=\frac{F}{3m}+\frac{F}{24m}=\frac{3F}{8m}$$ which doesn't match the answer key .