Question
Asked Sep 18, 2019
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Please solve for F3 using vector addition (break into components if possible) and solve for theta 3 (the angle). Noting, F1 + F2 + F3 = 0.

 

75.0 N
Q2
75.0°
65.0 N
F3
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75.0 N Q2 75.0° 65.0 N F3

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Expert Answer

Step 1

The vector addition of the force components is,

Substitute the values to find the angle,

cos-F2cos 02=0
65.0cos-75.0cos75.0° 0
65.0cosa 75.0cos75.0°
cos 75.0cos75.0°
65.0
=0.299
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cos-F2cos 02=0 65.0cos-75.0cos75.0° 0 65.0cosa 75.0cos75.0° cos 75.0cos75.0° 65.0 =0.299

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Step 2

Solve the above relation for angle,

cos(0.299)
-72.6
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cos(0.299) -72.6

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Step 3

The vector addition of the force components is,

Substitute the val...

К, sin 8, t Rsine, -F, -0
F 75.0sin (75.0°)+65.0sin(72.6°)
72.4N+62.0N
=134.4N
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К, sin 8, t Rsine, -F, -0 F 75.0sin (75.0°)+65.0sin(72.6°) 72.4N+62.0N =134.4N

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