Question

For the equilibrium situation shown. The strings are strong enough to with stand a maximum tension of $100N$. What is the largest value of $W$ (in $N$) that they can support as shown.

• A. $30N$
• B. $25N$
• C. $35N$
• D. $40N$

Answer 1

The correct option is C $35N$

The total force in x direction is given as,

$\sum F_x=0$

$T_1\sin {37}^{\circ }=T_2\sin {53}^{\circ }$

$100\times \frac{3}{5}=T_2\times \frac{4}{5}$

$T_2=75N$

The total force in y direction is given as,

$\sum F_y=0$

$T_1\cos {37}^{\circ }=T_2\cos {53}^{\circ }+W$

$W=100\times \frac{4}{5}-75\times \frac{3}{5}$

$W=35N$

The largest value of $W$ is $35N$.