Question

A 20-lb force acts to the west while an 80-lb force acts 45° east of north. The magnitu 80 lb 70 lb 067 lb 100 lb

Answer 1

option C

Step-by-step explanation:

given,

force act on west = 20 lb

force act at 45° east of north = 80 lb

magnitude of force = ?

∑ F y = 80 cos 45⁰

F y = 56.57 lb

magnitude of forces in x- direction

∑ F x = -20 + 80 sin 45⁰

= 36.57 lb

net force

F =
`√(F_x^2+F_y^2)`

F =
`√(56.57^2+36.57^2)`

F = 67.36 lb≅ 67 lb

hence, the correct answer is option C