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oksano4ka [1.4K]

3 years ago

11

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, comp

ute that force.

1 answer:

Ipatiy [6.2K]3 years ago

5 0

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

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