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4 questions
3
votes
5
answers
2k
views
Guidelines to calculate moment of inertia
The moment of inertia is defined as
$$I = \int r^2 dm$$
but I am not sure how to proceed with solving the above integral. All examples I have seen seem to be done with different strategies. They ...
- 2,180
2
votes
3
answers
1k
views
Calculating the moment of inertia of a uniform sphere [closed]
Currently trying to calculate the moment of inertia of a uniform sphere, radius R, I know the answer is $\frac{2}{5}MR^2$ but I keep getting $\frac{1}{5}MR^2$
Setup:
Assume mass per unit volume $\...
- 268
2
votes
3
answers
361
views
Question about the application of calculus in physics
The way I've been taught to apply calculus to physics problems is to consider a small element at a general position and write an equation for that element and then to integrate it.
For e.g
To find ...
- 1,106
0
votes
1
answer
554
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The dot product integral in the proof of the Parallel axis theorem
The first picture is a question about proving the Parallel axis theorem and the second is the solution. I have no problem with the solution except for the part which says that
$$
\int 2\vec h \cdot \...
- 147