Question

The tension $T$ in the string shown in figure is

• A. Zero
• B. $50N$
• C. 5$(10-7\sqrt{3})N$
• D. $(\sqrt{3}-1)50N$

Answer 1

The correct option is C 5$(10-7\sqrt{3})N$

$T+f_x=mg\sin {30}^o$

$T=[mg\sin {30}^o-\mu mg\cos {30}^o]$

$[\therefore f_x=\mu N=\mu mg\cos {30}^o]$

$T=(100\left(\frac{1}{2}\right)-(0,7\left)\right(10\left)\right(10\left)\frac{\sqrt{3}}{2}\right)$

$T=[50-35\sqrt{3}]N$

$\therefore [$T is the string $=5(10-7\sqrt{3})N]$.