Question

A weight of 500 N is supported by two metallic ropes as shown in the figure. The values of tensions $T_{1}and{T}_2$ are respectively

• A. 433 N and 250 N
• B. 250 N and 433 N
• C. 353.5 N and 250 N
• D. 250 N and 353.5 N

Answer 1

The correct option is A

433 N and 250 N

: Using Lami's theorem,

$\frac{T_1}{\sin {120}^{\circ }}=\frac{500}{\sin {90}^{\circ }}$

$\therefore T_1=500\sin {120}^{\circ }=433N$

$\frac{T_2}{\sin ({360}^{\circ }-({120}^{\circ }+{90}^{\circ }\left)\right)}=\frac{500}{\sin {90}^{\circ }}$

$\Rightarrow T_2=250N$