Resultant Force Forces with magnitudes of 85 pounds and 50 p

Resultant Force Forces with magnitudes of 85 pounds and 50 pounds act on a single point. The angle between the forces is 15degree. Describe the resultant force.

Solution

Given two forces are 85 lbs and 50 lbs

let F₁ = 85 , F₂ = 50

angle between them is = 15^o

resultant force F_r = [F₁² + F₂² + 2F₁F₂ cos]

==> F_r = [85² + 50² + 2(85)(50) cos15^o]

==> F_r = [7225 + 2500 + 8500 (0.96593)]

==> F_r = [17935.36952]

==> F_r = 133.923

Hence resultant force = 133.923 pounds