What is the significance of the 1/b factor in this differentiation problem?

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In summary, the conversation is discussing a solution provided by a professor and the confusion surrounding two steps in the solution. The conversation also touches on the possibility of a division by b being incorrect and the added constant potentially coming from a moving wheel. Ultimately, it is clarified that a factor b was present before differentiation and the resulting 1/b has cancelled it out.
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shanepitts
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Homework Statement


Screenshot_2015-08-05-16-27-07-1.png

Homework Equations

The Attempt at a Solution


This is actually part of the solution that was provided by the professor. However, I do not fathom two portions of the steps taken (written in orange). Part of the solution is in the picture below.
Screenshot_2015-08-05-16-37-12-1.png


Please help
 
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  • #2
Why do you expect a division by b? That would get the units wrong.
The added constant could come from a wheel that moves (rolls on the floor). If this is the horizontal component, it does not matter anyway.
 
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  • #3
Before differentiation there was a factor b. The 1/b that came as a result of the differentiation has canceled that.
 
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  • #4
haruspex said:
Before differentiation there was a factor b. The 1/b that came as a result of the differentiation has canceled that.
Gosh, I didn't notice that haha
. Thanks
 

FAQ: What is the significance of the 1/b factor in this differentiation problem?

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