22 Determine the resultant of the vectors with the given mag

22.

Determine the resultant of the vectors with the given magnitudes and directions. POSITIVE angles are measured counterclockwise from the positive x-axis, and NEGATIVE angles are measured clockwise from the positve x-axis.

A: 565, 156.0 degrees

B: 1247, 216.0 degrees

The magnitude of the resultant is ________.

Solution

A: 565, 156.0 degrees

B: 1247, 216.0 degrees

X compnonent 565cos156 + 1247cos216 =-1525

Y component : 565sin156 +1247sin216 = -502.13

Resuntant = sqrt( X^2 +Y^2) = 1605.54

Angke = tan^-1( Y/X) =tan^-1(502.13/1525) = 180 + 18.22 deg = 198.22 deg