Calculate Resultant Force and Angle of Object at Origin

AI Thread Summary
To calculate the resultant force acting on the object at the origin, the forces must be combined by their respective components. The net force in the x-direction is calculated as -18 N + 10 N = -8 N, and in the y-direction as -8 N + 15 N = 7 N. The resultant force can then be found using the Pythagorean theorem, resulting in a magnitude of approximately 10.63 N. The angle of the resultant force can be determined using the arctangent function, yielding an angle of about 143.13 degrees from the positive x-axis. Understanding vector components is crucial for accurately determining both the resultant force and its direction.
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Homework Statement


An object is at the origin. They're four perpendicular forces acting upon it. In the negative x axis, 18 N. positive x axis, 10 N. negative y axis, 8 N. and positive y-axis 15 N. calculate the resultant force. What angle is it at?


Homework Equations


F=Ma?


The Attempt at a Solution


Not really sure how to get the resultant force. Do you just add 8+10-15-18? (since 15 and 18 are negative)? For the angle, would it be 90 degrees?
 
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You add vectors/forces by adding their x components and their y components together.
 
So would it just be 8+10-15-18 since they are at 90? They wouldn't have any x and y components since they are not at an angle. Also what would the resultant angle be?
 
If a force of 10N is directed upwards on the y-axis it as a y compnent of 10N and an x component of 0N. Similarily if a force is directed to the right on the x-axis it has a y component of 0N and an x component of 10N.
 
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