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A resultant vector is 5.00 units long and makes an angle of 23.0 degrees measure

ID: 1528584 • Letter: A

Question

A resultant vector is 5.00 units long and makes an angle of 23.0 degrees measured counter - clockwise with respect to the positive x-axis. What are the magnitude and angle (measured counter - clockwise with respect to the positive x-axis) of the equilibrant vector? Two vectors, A and B, are drawn on an x - y coordinate system as shown. Vector A has a magnitude of 8.0 units, and vector B has a magnitude of 6.0 units. Find the x- and y- components of vectors A and B in the x - y system. Compute the magnitude of the resultant in the x - y coordinate system. A second coordinate system, the x' - y' system is rotated 37 degree with respect to the x - y system as shown. Find the x' and y' - components of A and B in the x' - y' system. Compute the magnitude of the resultant in the x' - y' coordinate system.

Explanation / Answer

1. The equilibrant vector is opposite to the given vector

let it be A

the magnitude of A is 5 units

the direction is 23 degrees counter clockwise to the negative X axis

that is 203 degrees counter clockwise to the positive X axis

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