Question

Two masses $M$ and $m$ are connected by a weightless string. They are pulled by a force $F$ on a frictionless horizontal surface. The tension in the string will be

• A. $\frac{MF}{m+M}$
• B. $\frac{MF}{M-m}$
• C. $\frac{mF}{M+m}$
• D. $\frac{mF}{M-m}$

Answer 1

The correct option is A $\frac{MF}{m+M}$

As acceleration of the entire mass due to force $F$ is $a=\frac{F}{M+m}$

so tension in M block is $T=M\times a=M\times (\frac{F}{M+m})$