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

86.6 lbs

Step-by-step 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=(X)/(R)`

`0.866=(X)/(100)`

X = 86.6 lbs

Other force Y

`Sin30=(X)/(R)`

`0.5=(Y)/(100)`

Y = 50 lbs