Force Vector Directed along a Line 3 of 3 e: 07/03/ or Late Wo ore: 71.1 rading
ID: 1863466 • Letter: F
Question
Force Vector Directed along a Line 3 of 3 e: 07/03/ or Late Wo ore: 71.1 rading Po Learning Goal: Part A To find a force's directional components that act along a cable and to find the coordinates of a point on a cable hat has a force vector applied to it As shown, a force vector F with a magnitude of c 65.0 N is applied at point A and is directed toward point C. (Figure 1) The distance a is 1.25 m and the distance b is 0.800 m.What are ete the i, j. and k components of F ms Problem 2 Three-dimensional Cartesian force vectors are used Position Ve orce Vech throughout engineering mechanics. The generic force Express your answers numerically in newtons to three significant figures separated by commas View Available Hint(s) Figure 1 of2 ack rint Assign Request Anwer ringEngi ring Con IF- b m Part B M0 2017 ofice Priv As shown the cable OA exerts a force on point O of F-FI+FJ+Fk cable's length is a, what are the x. y, and z coordinates of A in terms of a, F,, F, and F, Express your answers in terms of a, F, Fy, and F, separated by commas. .(Figure 2) If theExplanation / Answer
*Given OB = 0.8m and OA = 1.25m.
Hence, by pythagoras' theorem, AB = 1.48m.
As Triangle OBC is a 5-12-13 traingle, we get height BC = 0.8 * (12/5) = 1.92m.
Now, focus on triangle ABC.
AB = 1.48m, BC = 1.92m, hence AC is, by pythagoras' theorem, 2.42m.
Now breaking the force F into components, we have z component of force F(z) = 65 * (1.92/2.42) = 51.570 N
Force component on xy plane is F(xy) = 65 * (1.48/2.42) = 39.752 N
X component of force F(x) = 39.752 * (0.8/1.48) = 21.488 N (negative x direction)
Y component of force F(y) = 39.752 * (1.25/1.48) = 33.574 N (negative y direction)
Hence, the components are:
X component : -24.488 N
Y component : -33.574 N
Z component : 51.570 N
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