All Questions
6 questions
-2
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Where did $1/2$ of this come from? [duplicate]
Work done by an external force $F$ upon a particle displacing from point 1 to point 2 is defined as
$$
W_{12} = \int_1^2 F \cdot dr
\, .$$
Kinetic energy and work-energy theorem: According to Newton's ...
0
votes
3
answers
480
views
Goldstein: derivation of work-energy theorem
I am reading "Classical Mechanics-Third Edition; Herbert Goldstein, Charles P. Poole, John L. Safko" and in the first chapter I came across the work-energy theorem (paraphrased) as follows:
...
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0
votes
0
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145
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Work-Energy Principle Derivation
I am currently in Mechanics I and both my professor and my book have derived the work principle in this way and I even asked about its derivation during class, but it has me puzzled.
I don't ...
2
votes
1
answer
87
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How to express the elementary work definition as an explicit functional expression [duplicate]
My assumption here is that in the definition of elementary work :
$dW = F ds$
symbol $d$ represents a differential.
But a differential implies a function :
$dy =_{df} d[f(x)] = f'(x) \Delta x = f'(...
- 373
1
vote
3
answers
1k
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Why is pressure assumed constant in the work equation? Doesn't pressure change with the change with volume unless isobaric?
Right now, I'm studying thermodynamics, and I am a bit confused on the differentials.
For example, the equation for work is $W=p*{\Delta}V$, and usually people change it to $dW = p*dV$.
But, as long ...
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1
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0
answers
285
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Why do they specify the differential of Work using an lowercase delta $\delta W$, instead of $dW$ [duplicate]
I was curious, why do they specify the differential of Work using an lowercase delta symbol $\delta$ as in "$\delta W$", instead of using a $d$, as in $dW$. For example:
$$\delta W=\vec{F} ...
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