(1a)An object is under the influence of three forces. Two are known: F1 = (2 N,

Question

(1a)An object is under the influence of three forces. Two are known: F1 = (2 N, 0 N) and F2 = (-2 N, 3.2 N). (a) What is the magnitude of a third force, F3, such that the net force is zero? F3 = Enter your answer N (b) What is the direction of F3? Enter your answer degrees counterclockwise from the +x axis

(1b)The magnitude of a force F = (Fx, Fy) in the x–y plane is 2.84 × 10-6 N and its direction is 37.3º counterclockwise from the -x axis. What are (a) the x and (b) the y components of this force? (a) Fx = Enter your answer N (b) Fy = Enter your answer N

Explanation / Answer

a) if net force is zero

f1+f2+f3 = 0

f3 = -(f1+f2)

f3 = -(2i-2i+3.2j) = -3.2 j N

magnitude of f3 is 3.2 N

b) direction:

theta =tan^-1(-3.2/0) = 270 degrees

c) fx = fcos37.3 = 2.26*10^-6 N = 2.26N

fy = fsin37.3 = 1.72*10^-6 N = 1.72 N

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