Can You Solve These Conservation of Energy Equations?

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The discussion revolves around solving conservation of energy equations related to tension (T), work (W), mass (m), velocity (v), gravitational force (g), and angle (O). The initial equations provided include relationships between these variables, specifically isolating T and substituting terms to simplify the equations. The user successfully derives the final equation T = W(3 - 2cosO) by manipulating the initial equations. The approach emphasizes the importance of substituting and rearranging terms to reach the solution. The discussion concludes with the user confirming their successful derivation of the equation.
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I have to prove in a conservation of energy question

T-W =(mv^2)/L

mgL(1-cosO)=(mv^2)/2

mg=W

T=W(3-2Cos0)

How could I go about starting this?
 
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Assuming you can use the first three equations, use the first one to isolate T, then use the second one to get rid of the (mv^2) and finally replace the third one wherever possible. It should work out... just try it and post how far you get.
 
I got it:

T-W =(mv^2)/L
mgL(1-cosO)=(mv^2)/2

T=(mv^2)/L+W
mv^2=2mgL(1-cosO)
T=(2mgL(1-cosO))/L+W
T=(2W(1-cosO))/+W
T=2W-2WcosO+W
T=3W-2WcosO
T=W(3-2cosO)

Thanks
 
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