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Conservation of Energy & circular motion

  • Thread starter nrahim
  • Start date
  • #1
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The problem is stated on the sheet i have attached along with my attempt to the possible solution. This is a proof and i am very bad at working with proofs. This seems to be a classical problem so i'm sure some of you guys might have seen it, please guide me!

http://img22.imageshack.us/img22/1405/53811275.th.jpg [Broken]

I have posted the problem with what i have tried... as you can see i was stuck, please guide me if my logic or math is wrong
 
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Answers and Replies

  • #2
LowlyPion
Homework Helper
3,090
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Welcome to PF.

Consider the conditions imposed.

Total energy in the system is m*g*L

To complete a circle then with Vt the velocity at the top of the circle about x

m*Vt2/(L-x) = m*g

m*Vt2 = m*g*(L-x)

So ... at the top of that loop

1/2*m*Vt2 + m*g*(2*(L-x)) = m*g*L

Substituting ...

1/2*m*g*(L-x) + m*g*(2*(L-x)) = m*g*L
 
  • #3
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thanks a lot my friend.. you saved me a lot of hassle:D
 

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