Two forces act on an object at 20 degree to each other. One force has a magnitude of 200N, and the resultant has a magnitude of 340N. Determine the magnitude of the second force and the direction it makes with the resultant.

Answer 1

200 in + x direction
F at angle 20 above x axis
R = 340 at angle T above x axis

340 cos T =200 + F cos 20
340 sin T = F sin 20

solve for F and T

F is magnitude we want
The angle we want is 20 - T