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Sesion #23-24 MekanikaKlasik Riser Fahdiran, M.Si Umiatin, M.Si JurusanFisika FakultasMatematikadanIlmuPengetahuanAlam
Outline Central Force Characteristic of Motion under Central Force 05/01/2011 ©  2010 Universitas Negeri Jakarta   |  www.unj.ac.id                      | 2
1. Central Force A central force acting on a particle is one that is always directed toward a fixed point called the center of the force.  If interaction between two objects is represented by a central force, then the force is directed along the line joining the centers of the two objects. 05/01/2011 ©  2010 Universitas Negeri Jakarta   |  www.unj.ac.id                      | 3
05/01/2011 ©  2010 Universitas Negeri Jakarta   |  www.unj.ac.id                      | 4 ,[object Object]
That law implies angular momentum conservation. If isotropic then the force will be conservative. We can introduce concept of a potential energy function V(r),[object Object]
We may write central force as :,[object Object],[object Object]
Substitute into :
Finally :,[object Object],[object Object],[object Object]
R describes the motion of the center of mass and r describes the relative motion of one particle with respect to the other,[object Object]
Simple operation on the equation of motion, will lead :,[object Object]
Two body problem can be replaced by one body problem,[object Object]
05/01/2011 ©  2010 Universitas Negeri Jakarta   |  www.unj.ac.id                      | 14 ,[object Object],[object Object],[object Object],[object Object],[object Object]
[object Object]
We get :
If the motion is periodic of period T19 05/01/2011 ©  2010 Universitas Negeri Jakarta   |  www.unj.ac.id                      |
05/01/2011 ©  2010 Universitas Negeri Jakarta   |  www.unj.ac.id                      | 20 ,[object Object],[object Object]
05/01/2011 ©  2010 Universitas Negeri Jakarta   |  www.unj.ac.id                      | 22
Mekanika Klasik (23 - 24)
Mekanika Klasik (23 - 24)
Mekanika Klasik (23 - 24)
Mekanika Klasik (23 - 24)
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Mekanika Klasik (23 - 24)

  • 1. Sesion #23-24 MekanikaKlasik Riser Fahdiran, M.Si Umiatin, M.Si JurusanFisika FakultasMatematikadanIlmuPengetahuanAlam
  • 2. Outline Central Force Characteristic of Motion under Central Force 05/01/2011 © 2010 Universitas Negeri Jakarta | www.unj.ac.id | 2
  • 3. 1. Central Force A central force acting on a particle is one that is always directed toward a fixed point called the center of the force. If interaction between two objects is represented by a central force, then the force is directed along the line joining the centers of the two objects. 05/01/2011 © 2010 Universitas Negeri Jakarta | www.unj.ac.id | 3
  • 4.
  • 5.
  • 6.
  • 8.
  • 9.
  • 10.
  • 11.
  • 12.
  • 13.
  • 15. If the motion is periodic of period T19 05/01/2011 © 2010 Universitas Negeri Jakarta | www.unj.ac.id |
  • 16.
  • 17. 05/01/2011 © 2010 Universitas Negeri Jakarta | www.unj.ac.id | 22