# A push of 180 N and pull of 350 N act simultaneously at a point. Find the resultant of the forces, if the angle between them be 135 degree?

• A push of 180 N and pull of 350 N act simultaneously at a point. Find the resultant of the forces, if the angle between them be 135 degree?

Answer #1 | 01/02 2015 10:34
Let the resultant be R. R^2 = P^2 + Q^2 + 2PQ cos (theta) = (350)^2 + (180)^2 + 2 (350) (180) cos (135°) = 65804.55 R = 256.52 newton Let R make an angle x with P. tan (x) = Q sin (theta) / (P + Q cos (theta)) = 180 sin (135°) / (350 + 180 cos (135°)) = 0.57 x = arctan (0.57) = 29.68°
Positive: 39.393939393939 %
Answer #2 | 01/02 2015 18:34
Let the resultant be R. R^2 = P^2 + Q^2 + 2PQ cos (theta) = (350)^2 + (180)^2 + 2 (350) (180) cos (135°) = 65804.55 R = 256.52 newton Let R make an angle x with P. tan (x) = Q sin (theta) / (P + Q cos (theta)) = 180 sin (135°) / (350 + 180 cos (135°)) = 0.57 x = arctan (0.57) = 29.68°
Positive: 66.666666666667 %
Anonymous762490 | 02/08 2020 14:19
R= 256.51N
Positive: 50 %