Question

Two forces 5 and 10 kg wt are acting with an
inclination of 120° between them. What is the angle
which the resultant makes with 10 kg wt?​

Answer 1

${\mathfrak{\green{\underline{\underline{Answer:-}}}}}$

The angle  makes with 10 kg wt is 30°.

${\mathfrak{\green{\underline{\underline{Explanation:-}}}}}$

From the diagram, we can directly find the angle α made by the resultant with the 10 kg wt.

tan α = 5(sin 120)/[10 + 5(cos 120)]

=> tan α = 0.577

=> α = tan^-1(0.577) = 30°

This is the angle made by the resultant with the 10 kg wt force.