Add the vectors A988 Theta a 218 degrees B411 Theta b283 deg

Add the vectors. A=98.8 Theta a =21.8 degrees. B=41.1 Theta b=28.3 degrees. What are the values of Rx, Ry, R, and theta.

Solution

Rx = A cos theta + B cos theta

Rx = 98.8 cos 21.8 +41.1 cos28.3

Rx = 127.92

Ry = A sin theta + B sin theta

Ry = 98.8 sin 21.8 +41.1 sin28.3

Ry = 56.17

theta = tan(^-1) (56.17/127.92)

theta = 23.70 deg.