A force of 24 N is directed at anangle of 75° above the x -axis. A second force

Question

A force of 24 N is directed at anangle of 75° above thex-axis. A second force of 24 N isdirected at an angle of 75° below thex-axis. What is the vector sum of these twoforces?
Magnitude ____ N Direction ____ degrees counterclockwise from the positive xaxis A force of 24 N is directed at anangle of 75° above thex-axis. A second force of 24 N isdirected at an angle of 75° below thex-axis. What is the vector sum of these twoforces?
Magnitude ____ N Direction ____ degrees counterclockwise from the positive xaxis

Explanation / Answer

Since the two forces are equal in magnitude and have symmetry alongthe x axis, the forces in the y direction cancel out with a netforce in the x direction Magnitude = 24N*cos(75)+24N*cos(-75)=12.423N , 0degrees counterclockwise form the positive x axis

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