Question

The resultant of 2 forces at right angles is 100 lbs. If one of the forces makes an angle of 30 degress with the resultant, compute that force.

Answer 1

Answer:

86.6 lbs

Explanation:

Let the force is X.

Resultant force, R = 100 lbs

Other force is Y. Angle between resultant force and force X is 30°.

According to the diagram

$Cos30=\frac{X}{R}$

$0.866=\frac{X}{100}$

X = 86.6 lbs

Other force Y

$Sin30=\frac{X}{R}$

$0.5=\frac{Y}{100}$

Y = 50 lbs