Using the same force table that you used, a student was given two forces and ask

Question

Using the same force table that you used, a student was given two forces and asked to find a single force that would produce equilibrium with the two forces. The two forces were given by providing one of the components and the angle the force made with the positive x axis. The two forces were as follows: Force 1: Fx = -2.7 N; ? = 220 degrees Force 2: Fy = 3.2 N; ? = 60 degrees (a) For each force, calculate the magnitude of the force and the mass required to produce it. (b) Calculate the mass and its angle of application to produce equilibrium with these two forces. Please specify your angle as counterclockwise positive with respect to the positive x axis.

Explanation / Answer

f1x=-2.7 theta=220 f1x=f1*cos(theta) f1=3.52 N f1=3.52*(cos(220)i+sin(220)j) m1=3.52/9.81=0.358 kg f2y=3.2 theta=60 f2*sin(60)=3.2 f2=3.69 N f2=3.69*(cos(60)i+sin(60) j) m2=0.376 kg f=f1+f2=-0.85 i+0.93 j magnitude=1.25 N m=1.25/9.81=0.128 kg angle=47.57 degree clock wise from +ve x direction

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