Why is the moment of inertia the integral of the "second moment"? What is the derivation for the formula?
69250
Where does the formula for the moment of inertia $I = \int r^2 dm$ come from?
25779
Constants of motion vs. integrals of motion vs. first integrals
131769
How to derive this second derivative using the quotient rule?
50347
Can torque relations actually be *derived* from Newton's Laws, or is it something extra?
142892
Lagrangian Mechanics - Commutativity Rule $\frac{d}{dt}\delta q=\delta \frac{dq}{dt} $
109687
What is inertia of a body?
141202
Explanation on Newton's second law
100158
How to find Origin for Angular Momentum?
51294
Derivation of Euler's equations for rigid body rotation
86811
Help understanding a concept in multiple integrals
140256
Moment of inertia of a hollow sphere wrt the centre?
73057
How to calculate inertia tensor of composite shape?
41407
How to derive or justify the expressions of momentum operator and energy operator?
81057
Evaluation of $\int_{\frac{1}{e}}^{\tan x}\frac{t}{1+t^2}dt+\int_{\frac{1}{e}}^{\cot x}\frac{1}{t(1+t^2)}dt$
93539
Why is $M\frac{dv}{dt} = v_{rel} .\frac{dm}{dt}$ correct and $(M - dm)\frac{dv}{dt} = v_{rel} .\frac{dm}{dt}$ wrong?
30002
Calculate the integral $\int_{0}^{2\pi}\frac{1}{a^{2}\cos^2t+b^{2}\sin^{2}t}dt$, by deformation theorem.
78924
What is $c$ in the Lorentz force expression?