Question

A Final Exercise 14.) Suppose that at some time t a point mass M is subjected to three forces given by F, 52 N at θ 1 45° . F, = 73 N at θ' = 135。 F, 47 N at θ.-205° and Calculate the magnitude and direction of the net force exerted on this point mass. Also, what would be the magnitude and direction of the equilibrating force? Newtons at Newtons at 15.) It is hoped by your instructor that you at least find it plausible to suggest that if we have a physical thing, like a ring, we can balance it, if and only if the vectorial sum of all of the forces exerted on the ring is zero. We call this situation--when the sum of the forces acting on a physical thing is zero--a necessary condition for static equilibrium. In other words, for a physical system to be in static equilibrium it must be true that (37) (In a later experiment, we will find out that equation (37) is not sufficient for determining static equilibrium. We must also concern ourselves with rotational motion.) HI 2-8

Answer 1

F_1^vector = 52 cos 5i + 528 m 45 j = 36.76 i^+ 36. 7 j^F_2^vector = -73 cos 45 i^+ 73 sin 45 j^= -51.6 i^+ 51.61 j^F_3^vector = -47 cos 25 i^- 47 sin 25 j^= -42.59 i^- 19.86 j^F^vector_net = -57. 44 i^+ 68.45 j^ Vertical-bar F_net Vertical-bar = 89.35 N angle theta = tan^-1 (57.44/68.45) = 40 direction implies 130 degree