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jessedevin
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Homework Statement
Three objects -- two of mass m and one of mass M -- are located at three corners of a square of edge length l. Find the gravitational field g at the fourth corner due to these objects. (Express your answers in terms of the edge length l, the masses m and M, and the gravitational constant G).
Homework Equations
g=-GM/r2
The Attempt at a Solution
g= ga+gb+gc
g= Gm/l2 [tex]\hat{i}[/tex]+ (GM/(l[tex]\sqrt{2}[/tex])2)(cos([tex]\pi/4[/tex])[tex]\hat{i}[/tex]+sin([tex]\pi/4[/tex])[tex]\hat{j}[/tex])+Gm/l2 [tex]\hat{j}[/tex]
I know you have to take the magnitude of this, but when I did that , I still get the wrong answer. Here's what I got:
||g||=[tex]\sqrt{2G^2/l^4(m^2+M^2)}[/tex]
Did I start it right? Can someone help?
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