Question

If ${}^{\prime }{O}^{\prime }$ is at equilibrium then the values of the tension $T_1$ and $T_2$ are ($20N$ is acting vertically downwards at $O$).

• A. $20N,30N$
• B. $20\sqrt{3},20N$
• C. $20\sqrt{3},20\sqrt{3}N$
• D. $10N,30N$

Answer 1

The correct option is B $20\sqrt{3},20N$

We get two equations from equilibrium of O

T${}_1$cos30-T${}_2$sin30=20

T${}_1$sin30=T${}_2$cos30

Solving these two equations we get T${}_1$=20$\sqrt{3}$ N

And T${}_2$= 20 N