Can You Solve These Conservation of Energy Equations?

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In summary, to solve the conservation of energy question, you can use the first equation to isolate T, then use the second equation to eliminate (mv^2), and finally replace the third equation when possible. This will result in the final equation T=W(3-2cosO).
  • #1
blayman5
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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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  • #2
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.
 
  • #3
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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