0
votes
1answer
73 views

Confusion about units of angular momentum

According to multiple sources the SI units for angular momentum are kg * m$^2$ / sec I am confused about the derivation for this. Here is what I have done: $$L = I \cdot \omega \\ = m \cdot r^2 ...
3
votes
1answer
330 views

Question about units in Lagrangian dynamics (inertia matrix)

I have a 3 degree of freedom system and my equation of motion is like this: $$M(q)q_{dd} + C(q,q_d)q_d+G(q)~=~0$$ $M(q)$: inertia matrix $C(q,q_d)$: Coriolis-centrifugal matrix $G(q)$: potential ...
2
votes
1answer
730 views

Question Concerning Dimensional Analysis

In the first lecture of MIT's Classical Mechanics Professor Lewin talks about Dimensional Analysis.He talks about an apple being dropped from a certain height can be quantitatively expressed as the ...
8
votes
4answers
852 views

Simple Harmonic Motion - What are the units for $\omega_0$ ?

I'm trying to understand the units in: $mx''+kx=0$ And the general solution is $x(t)=A \cos(\omega_0 t)+B \sin(\omega_0 t)$ Let $\omega_0 =\sqrt{\frac{k}{m}}$ - the unit for the spring constant $k$ ...