How Does Friction Affect Energy Conservation in Rotational Motion Experiments?

AI Thread Summary
The discussion revolves around an experiment involving a mass, pulley, and rotating object to explore energy conservation principles. Participants are tasked with formulating an energy conservation equation that accounts for initial and final energies, including kinetic and potential energies, while also factoring in energy lost to friction. Confusion arises regarding how energy conservation holds true despite energy loss due to friction, particularly in the context of the equation mgd = 0.5Iw^2 + 0.5mv^2 - f. The need to clarify the role of friction and its representation in the equation is emphasized, with suggestions to replace terms for accurate calculations. Ultimately, the conversation highlights the complexities of integrating friction into energy conservation equations in rotational motion experiments.
Painguy
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Homework Statement


We performed a small experiment in class which had us attach a mass to a string which hung on a pulley which led to a rotating object.
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We were then told to write down a conservation of energy equation stating that the initial energy is equal to the final energy. We were asked to include kinetic energy (rotational, translational), potential energy, and energy lost due to friction which we found with Tf=f*r.


Homework Equations




The Attempt at a Solution



This is what I have setup so far.

Ui +Kroti +Ktransi=Uf+Krotf +Ktransf +Wf

mgd=.5Iw^2 + .5mv^2 -f

I'm still a little confused about how energy is conserved if we're losing energy due to friction?

After that they ask me to replace every instance of w with v/r and v with 2d/t and try to get the following I=(mr^2)((gt^2/2d)-1-(t^2/(2md))f)

What am I doing wrong here?
 
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Painguy said:
mgd=.5Iw^2 + .5mv^2 -f
f is the force of friction? If so, there are two things wrong with the -f term.
 
how in the world are you equating torque with energy
 
haruspex said:
f is the force of friction? If so, there are two things wrong with the -f term.
I suppose I should have did f*Δd? I'm not sure what to do here.
 
Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
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