Question

In the figure above, a block of mass m is hanged from two ropes. If the magnitude of $T_2$ is $10.0N$, what is the magnitude of $T_1$? Note that $\sin {30}^0=\cos {60}^0=0.500$, and $\sin {60}^0=\cos {30}^0=0.866$.

• A. $0.433N$
• B. $0.500N$
• C. $0.866N$
• D. $10.0N$
• E. $17.3N$

Answer 1

The correct option is E $17.3N$

As the system is in equilibrium, thus net force in the horizontal direction is zero.

$\therefore$ $T_1$ $sin{30}^o=T_2$ $sin{60}^o$

OR $T_1\times 0.5=10\times 0.866$ $⟹T_1=17.3$ $N$