Gravitational Problem Homework: Solving for Force & Direction | M0, G, r^2

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To solve the gravitational problem involving mass M0 and the gravitational force equation Fg = M1M2(G) / r^2, the first step is to calculate the force on mass M due to M0, which acts to the left. Next, the force on M from M1 must be determined, which acts downwards and to the left at an angle that can be expressed using trigonometric functions. The two forces should then be summed as vectors to find the resultant force's magnitude and direction. Understanding the right-angle relationship between the distances x and y is crucial for accurately calculating the angles involved. This approach will lead to a comprehensive solution for both the magnitude and direction of the gravitational force on M.
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Homework Statement



20131027_171319_1.jpg


Homework Equations



Gravitational problem. Fg = M1M2(G) / r^2

G = 6.67e-11


The Attempt at a Solution



Furthest I got was setting up the equation Fg = (M0)(2M0)(G) / r^2

I'm quite lost in this topic and would appreciate some help.

I need to find both the magnitude and direction of the force on M.

M0 is the mass of the object and x and y are the distances between M and the objects.

There is a right angle between x and y.

I would appreciate any help. Thanks!
 
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Hi Ajax45. http://img96.imageshack.us/img96/5725/red5e5etimes5e5e45e5e25.gif

You determine the force on M due to M0, this acts to the LEFT.

You determine the force on M due to M1, this acts downwards and to the left at some angle (you know the sides of a triangle there, so you can express the angle in terms of tan.)

You then sum those two forces as vectors.
 
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