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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.

Respuesta :

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

[tex]Cos30=\frac{X}{R}[/tex]

[tex]0.866=\frac{X}{100}[/tex]

X = 86.6 lbs

Other force Y

[tex]Sin30=\frac{X}{R}[/tex]

[tex]0.5=\frac{Y}{100}[/tex]

Y = 50 lbs

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