When you can't use conservation of energy

AI Thread Summary
Conservation of energy laws can be tricky to apply in certain scenarios, such as when a roll of toilet paper drops while being held. The tension force from the person holding the roll can complicate the situation, leading to potential misunderstandings. It's crucial to consider the exact wording of the problem, as phrases like "ignore friction" indicate when conservation of energy can be applied. Energy exists in various forms, including kinetic and potential energy, which can be challenging to measure, especially in cases involving sound. Ultimately, energy conservation applies in closed systems, and any energy crossing system boundaries complicates the analysis.
lonewolf219
Messages
186
Reaction score
2
I have noticed that I try to apply conservation of energy laws to solve various problems, and they don't always work. For example, this problem I'm doing now is a roll of toilet paper that drops to the floor while someone is holding the first sheet of paper.

Is it the presence of a tension force from the person holding the roll that violates conservation of energy? I keep making this same mistake
 
Physics news on Phys.org
It depends what you have done.
If you can show us how you attempted to solve the problem it would help.
The exact wording of the question is also important.
Questions like this usually say things like "ignore friction" as a clue to being able to use conservation of energy.
Energy can take a number of forms, and in the question you mention there is kinetic and potential.
The kinetic energy will be both rotational (the roll spins) and translational (it drops to the ground).
 
Energy is always conserved. But in some cases it is difficult to measure some forms of energy.

For example:it is rather difficult to measure the energy of the sound made when a roll of paper falls on the floor.
 
Indeed. I could have added that in questions of this type, it's whether or not you can consider mechanical energy to be conserved.
 
Where you draw your 'box' is also important. Energy is conserved in a closed system. But if you let energy cross the boundary of your box (your system), then you can't rely on those equations anymore.
 
I have recently been really interested in the derivation of Hamiltons Principle. On my research I found that with the term ##m \cdot \frac{d}{dt} (\frac{dr}{dt} \cdot \delta r) = 0## (1) one may derivate ##\delta \int (T - V) dt = 0## (2). The derivation itself I understood quiet good, but what I don't understand is where the equation (1) came from, because in my research it was just given and not derived from anywhere. Does anybody know where (1) comes from or why from it the...
Back
Top