Question

Two bodies of mass $4\text{kg}$ and $6\text{kg}$ are attached to the ends of a string passing over a pulley as shown in the figure below. The $4\text{kg}$ mass is attached to the tabletop by another string. The tension in this string $T_1$ is equal to (take $g=10\frac{\text{m}}{{\text{s}}^2}$ )

• A. $20\text{N}$
• B. $25\text{N}$
• C. $10.6\text{N}$
• D. $10\text{N}$

Answer 1

The correct option is A $20\text{N}$

Let us first draw the free body diagrams of bodies of masses $6\text{kg}$ and $4\text{kg}$
We get, $T=60\text{N};$
From the figure, $T=T_1+40\Rightarrow 60=T_1+40$$\Rightarrow T_1=20\text{N}$