Two forces with magnitudes of 200 and 100 pounds act on an object at angles of 60° and 170° respectively. Find the direction and
magnitude of the resultant force. Round to two decimal places in all intermediate steps and in your final answer.
1 answer:
First force F1 =200 N
Second force,F2 =100 N
<span>θ1 =60°</span>
<span>θ2 =170°</span>
<span>Take Summation of Forces Horizontal and vertical
ΣFx = 200cos60° - 100cos(180-170°)</span>
=200cos60° - 100cos(10°)
<span> = 1.519 N
ΣFy = 200sin60° + 100sin(180-170°)</span>
= 200sin60° + 100sin10°
<span> = 190.57
Resultant/Magnitude
R =√[ (ΣFx)² + (ΣFy)²]</span>
<span> =√[1.519²+(190.57)²]
R = 190.576 N</span>
<span>Direction of resultant force
θ =arctan [ΣFy / ΣFx]
θ =89.54°</span>
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Step-by-step explanation:
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