(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

I'm given a table of vectors A, B, and C of mass, magnitude, direction, x component, and the y component. The weights of 3 masses will apply tensions to 3 cables on a force table, the object is in translational equilibrium.

Given:

Vector A: m=0.2, magnitude=?, direction 30 degrees, x comp=?, y comp=?

Vector B: m=0.2, magnitude=?, direction 120 degrees, x comp=?, y comp=?

Vector C: m=?, magnitude=?, direction 30 degrees, x comp=?, y comp=?

or here http://chemphys.calumet.purdue.edu/~napora/classes/Phys152/labs/Lab02--ForceTable.pdf [Broken] pg 3

2. Relevant equations

[itex]\Sigma[/itex]F=0

Magnitude = sqrt(a^2+b^2)

3. The attempt at a solution

For the magnitude of vectos A and B I just multiplied by g (9.8), for x component: i did cos(theta)*magnitude, and y comp: sin(theta)*magnitude.

For vector C, for x comp I did x-comp of vector A + Vector B + vector C = 0...and same for y component. for direction i did arctan(y comp/ x comp). and the magnitude I did sqrt[(magnitude of vector A)^2 + (magnitude of vector B)^2].

So I got

Vector A: m=0.2,magnitude=1.96, direction 30 degrees,x comp=1.7, y comp=.98

Vector B: m=0.2,magnitude=1.96, direction 120 degrees,x comp=-.98, y comp=1.7

Vector C:m=.28, magnitude=2.77, direction 255 degrees, x comp=-.72, y comp=-2.68

My numbers did not match up with the lab I did, are my calculations wrong? if not maybe it was the lab.

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# Homework Help: Mass, magnitude, direction of vectors

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