Question

A 100 kg box is hanging from two strings. String #1 pulls up and left, making an angle of 80o with the horizontal on the left, and string #2 pulls up and to the right, making an angle of 65o with the horizontal on the right. FInd the tension in string #2 (on the right side)

Answer 1

Answer:296.76 N

Explanation:

Given

mass of box $m=100 kg$

Let $T_1$ be the Tension in left side and $T_2$ be the Tension in the right side

From diagram

$T_1\cos 80=T_2\cos 65$

$T_1=T_2\cdot \frac{\cos 65}{\cos 80}$

and

$T_1\sin 80+T_2\sin 65=100\cdot g$

$T_2\left [ \tan 80\cdot \cos 65+\sin 65\right ]=100\cdot g$

$T_2=\frac{100\cdot g}{\left [ \tan 80\cdot \cos 65+\sin 65\right ]}$

$T_2=\frac{980}{3.3023}=296.76 N$