N's 2nd law: an eq'n for acceleration 'a'

AI Thread Summary
To derive a single equation for acceleration using the provided formulas, start by equating the two expressions for tension (T). From T = Ma and T = mg - ma, set them equal to each other, resulting in Ma = mg - ma. Rearranging gives mg = Ma + ma, which can be expressed as a = (mg - Ma) / m. This equation allows for the calculation of acceleration 'a' in terms of the masses and gravitational force. The discussion highlights the need for clarity in combining equations to solve for acceleration.
ms. confused
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Hello!

I was given two formulae for my Physics lab: ma=mg-T and T=Ma (using a pulley).

ma--> net force on small object (paper clip)
M--> larger mass (glider)
mg--> force of gravity
a--> acceleration
T--> tension of ribbon used

I'm supposed to combine the two equations to get one equation for acceleration. I thought about arranging them this way, but I think I'm wrong:

T=Ma (1)
T=mg-ma (2)
0 = -mg + (Ma+ma)

(the last part is difinitely messed up!)

Hope some can help me out! :confused:
 
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if T = Ma and T = mg - ma then mg - ma = Ma
 
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