Question

Forces with magnitudes of 70 pounds, 40 pounds, and 60 pounds act on an object at angles of -30, 45, and 135, respectively, with the positive x axis. Find the direction of the magnitude of the resultant of these forces

Answer 1

The resultant x-component is:
70cos(- 60) + 40cos(45) + 60cos(120)
= 33.284 pounds.

The resultant y-component is:
70sin(- 60) + 40sin(45) + 60sin(120)
= 19.624 pounds.

The resultant is:
sqrt(33.284^2 + 19.624^2)
= 38.6 pounds to 3 sig. fig.

If t is its direction measured from the positive x-axis:
tan(t) = 19.624 / 33.284
Both x- and y-components are positive, indicating a quadrant 1 angle:
t = 30.5 deg.

Answer 2

This has incorrect points

Answer 3

isn't this physics?

Answer 4

then again, physics is maths

Answer 5

I'm looking for -30, 45, and 135

Answer 6

there's too little data for the previous question ket-kat

Answer 7

There's enough, I just need to know how to set it up