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4 votes
5 answers
2k views

Can energy conservation equation be seen as equation of motion?

After all, energy conservation equation is a differential equation that can be solved to find the motion, but this is never done. It is alway considered equation of motion only the time derivative of ...
user avatar
1 vote
0 answers
73 views

What's the meaning of $\Delta E-W_{nc}=0 $?

Suppose a system of particles is subject to internal forces, some of which are conservative and some of which are non-conservative. Let $\Delta E$ be the change in mechanical energy of the system as ...
muimerp's user avatar
  • 11
1 vote
1 answer
1k views

Energy method to solving equations of motion? Why does this method work and what is it called?

Given the stated system in the photo we are suppose to prove simple harmonic motion when given an initial displacement $x$ I first considered the total energy of the system which we will call $H$ $$H=...
Russell Yang's user avatar