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← 07-23 Making Calculations Solution

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Showing Revision 1 created 07/23/2012 by Amara Bot.

  1. Well, let's see. How do we solve this.
  2. Well, I know that the potential energy over here is going to be equal to the kinetic energy
  3. it has when it passes through the equilibrium.
  4. Remember at the the equilibrium point, there's no potential energy.
  5. All of that energy must have been converted into kinetic energy.
  6. Okay, so let's do the math. Potential energy gets converted to kinetic energy.
  7. Use the appropriate equations and when I solve for V--that should be a max
  8. and I'm solving for the Vmax as well.
  9. I get this for an answer and plugging in the appropriate values--I get an answer of 4.5 m/s.
  10. Now something that's interesting here is that this could've been positive number
  11. or a negative number--a positive number would have corresponded to when the mass
  12. is moving this way and negative would have corresponded to when the mass is moving that way.
  13. In fact, there's a lot we can learn about simple harmonic motion by just calculating velocity,
  14. keeping track of sign and plotting it on a diagram versus position.
  15. What do I mean by that? Well, I'll show you.