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How to prove inertial force is potential force.

  1. May 11, 2014 #1
    1. The problem statement, all variables and given/known data

    Prove inertial force is potential force.

    2. Relevant equations

    $$\mathbf{F}_i=-\nabla V_i$$

    3. The attempt at a solution
    $$\oint \mathbf{F}_i\cdot d\mathbf{r}=0$$
     
  2. jcsd
  3. May 11, 2014 #2
    What is "inertial force"?
     
  4. May 11, 2014 #3
    $$\mathbf{F}=m\mathbf{a}$$
    $$\mathbf{F}-m\mathbf{a}=0$$
    $$\hbox{inertial force}\mathbf{F_i}=-m\mathbf{a}$$
    $$\mathbf{F}+\mathbf{F_i}=0$$
     
  5. May 11, 2014 #4
    inertial force

    $$\mathbf{F}=m\mathbf{a}$$
    $$\mathbf{F}-m\mathbf{a}=0$$
    $$\hbox{inertial force}\mathbf{F_i}=-m\mathbf{a}$$
    $$\mathbf{F}+\mathbf{F_i}=0$$
     
  6. May 11, 2014 #5
    That is not making any sense. If ##F## is an arbitrary force, then ##F_i## is also an arbitrary force. Are you required to prove that an arbitrary force is potential? That won't work.
     
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