Please Help.. Using Figure 5, obtain the magnitude and direction (express the wa
ID: 2844627 • Letter: P
Question
Please Help..
Using Figure 5, obtain the magnitude and direction (express the way you like) of the force F, if the bar is subjected to the two forces shown (100N, and 124N), and is at Equilibrium; pick any coordinate system that you like. Hint: if it helps, remember that vectors can be moved (translated) if neither the magnitude nor direction is altered). As you can see, a force can be described as a vector. So this is a simple equilibrium problem with 3 vectors. *
Using Figure 5, obtain the magnitude and direction (express the way you like) of the force F, if the bar is subjected to the two forces shown (100N, and 124N), and is at Equilibrium; pick any coordinate system that you like. Hint: if it helps, remember that vectors can be moved (translated) if neither the magnitude nor direction is altered). As you can see, a force can be described as a vector. So this is a simple equilibrium problem with 3 vectors. *Explanation / Answer
angle of 100N force = 40 + 30 = 70 degrees
Let inclination of force F from positive x direction be theta.
Since body is in equilibrium, sum of all components of forces in a direction should be 0.
in x-direction
F*cos(theta) + 100*cos(70) = 0
and in y-direction,
F*sin(theta) + 100*sin(70) - 124 = 0
solving,
F = 45.52 N
direction, theta = 138.7 degrees with respect to positive x-axis