Suppose three forces with magnitudes of 198 N, 275 N, and 205 N are placed in equilibrium. If the 205-N force acts in the +y-direction, what is one of the two configurations in the xy-plane that the remaining forces may have? Give numerical values for the angles. 275 N     ° counterclockwise from the +x-axis 198 N     ° counterclockwise from the +x-axis

International Edition---engineering Mechanics: Statics, 4th Edition
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ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
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Chapter10: Virtual Work And Potential Energy
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Problem 10.62P: The bar ABC is supported by three identical, ideal springs. Note that the springs are always...
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Suppose three forces with magnitudes of 198 N, 275 N, and 205 N are placed in equilibrium. If the 205-N force acts in the +y-direction, what is one of the two configurations in the xy-plane that the remaining forces may have? Give numerical values for the angles.

275 N     ° counterclockwise from the +x-axis
198 N     ° counterclockwise from the +x-axis
Expert Solution
Step 1

Let us consider that 275 N forces and 198 N force acts at an angle as shown below –

Mechanical Engineering homework question answer, step 1, image 1

 

Step 2

For equilibrium of force total force in horizontal and vertical direction will be 0.

Mechanical Engineering homework question answer, step 2, image 1

Mechanical Engineering homework question answer, step 2, image 2

Now the angle alpha turns out to be negative which means that this angle is clockwise direction from x-axis.

 

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