Question

A force of 100 N acts upward. Resolve this force into 2 components; one that acts 30º north of west and one that acts 60º north of east.

Answer 1

To resolve the force of 100 N into two components, one acting 30º north of west and one acting 60º north of east, we can use trigonometry.

Step-by-step explanation:

To resolve the force of 100 N into two components, one acting 30º north of west and one acting 60º north of east, we can use trigonometry. First, we find the horizontal component by multiplying the force by the cosine of the angle. For the force acting 30º north of west, the horizontal component is 100 N * cos(30º) = 86.6025404 N. For the force acting 60º north of east, the horizontal component is 100 N * cos(60º) = 50 N.

Next, we find the vertical component by multiplying the force by the sine of the angle. For the force acting 30º north of west, the vertical component is 100 N * sin(30º) = 50 N. For the force acting 60º north of east, the vertical component is 100 N * sin(60º) = 86.6025404 N.