The knot at the junction is in equilibrium under the influence of four forces acting on it. The F force acts from above on the left at an angle of A degrees with the horizontal. The 5.1 N force acts from above on the right at an angle of 49 degrees with the horizontal. The 5.3 N force acts from below on the right at an angle of 42 degrees with the horizontal. The 5.9 N force acts from below on the left at an angle of 45 degrees with the horizontal.
a. What is the magnitude of the force F in Newtons?
b. What is the angle A of the force F?
2006-10-25 15:15:05 · 2 answers · asked by Derrick Z 1 in Science & Mathematics ➔ Physics
Resolve everything into x and y components.
For the x-values:
F cos A + 5.9 cos 45 = 5.1 cos 49 + 5.3 cos 42
F cos A = 3.1126386
For the y-values:
F sin A + 5.1 sin 49 = 5.9 sin 45 + 5.3 sin 42
F sin A = 3.8693034
Divide the y-result by the x-result to get:
tan A = 1.2430943
A = 51.185264 degrees
Substitute A into either the x- or y-results to get
F = 4.9658864 N
You can round this stuff off any way you like.
2006-10-25 15:35:25 · answer #1 · answered by bpiguy 7 · 0⤊ 0⤋
Hold on I m stuck in the process of you dividing the tan A = 1.2430943 can you explain your work please.
2016-03-11 11:06:44 · answer #2 · answered by esteban 1 · 0⤊ 0⤋