- #1
Abhishek11235
- 175
- 39
- Homework Statement
- This is the exercise from Morin's book on classical mechanics. The problem is as follows:
Consider a leaky bucket pulled by a string towards wall(see screenshot). The bucket leaks all the way which is constant (i.e ##dm/dx = \lambda## where m is the instantaneous mass of bucket. He asks to calculate kinetic energy as the function of distance
- Relevant Equations
- ##dE/dx= F##
I attempted the solution using force method. I got correct. However, I was stuck at the alternative way to solve problem using energy method. As shown in screenshot 2, he tells that the energy of system changes due to 2 ways:
- The tension T
- Leaking of mass
As shown in screenshot 2 ,the leaking of mass contributes dx/x. My question is how this expression comes up? Please detailed justification and Thanks in advance
- The tension T
- Leaking of mass
As shown in screenshot 2 ,the leaking of mass contributes dx/x. My question is how this expression comes up? Please detailed justification and Thanks in advance