Tagged Questions
3
votes
1answer
172 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 ...
1
vote
1answer
465 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
491 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 $k$ ...
