Question

A mass $\text{M}$ of $100 \, \, \text{kg}$ is suspended with the use of strings $\text{A} , \text{B}$ and $\text{C}$ as shown in the figure, where $\text{W}$ is the vertical wall and $\text{R}$ is a rigid horizontal rod. The tension in the string $\text{B}$ is

• A. $100 \text{g} \, N$
• B. Zero
• C. $1 0 0 \sqrt{2} \text{g} \text{ N}$
• D. $\frac{1 0 0}{\sqrt{2}} \text{g N}$

Answer 1

Answer: (A)

Let $\text{T}$ be the tension in the string $\text{C}$ . Hence

$\text{T} \text{cos} 45 ^\circ = M g$
$T \, sin \, \, 45 ^\circ =$ tension in $B$
Hence, tension in $\text{B} = \text{M} \text{g} = 100 \text{g} \, \text{N}$