Question

Harmonic motion

Answer 1

@3mar

Answer 2

Raleighs principal?

Answer 3

I was going to sum moments about point O then use the idea that moments at o = the time rate of change of angular momentum.

Answer 4

Do you know what is the procedure you will take?

Answer 5

@ShadowLegendX
If you could help here, I would be grateful!

Answer 6

KE = 1/2*w*H_o and PE = m*g*h

So w = theta_dot

dH_o/dt = I_o*w_dot + omega x H_o

dH_o/dt = I_o*theta_dot

Answer 7

Let me attempt it and I will show you what I get.

Answer 8

That's better, man!
I like that!

Answer 9

This is what I have so far.

Answer 10

I got theta_double_dot - g/3L^2*theta = 0, where L = 2a

Answer 11

@IrishBoy123

Answer 12

Hold on guys... I am uploading a pic.

Answer 13

Do you mean that?
\[\LARGE \theta^{~..}-\frac{ g }{ 3 }*l^{~2\theta}=0\]

Answer 14

no

Answer 15

I mean Theta_doubledot - ((g)/(3*(2a)^2)*theta = 0

Answer 16

\[\LARGE \theta^{~..}-\frac{ g }{ 3 *(2a)^2}*\theta=0\]

Answer 17

So it is a second order homogeneous differential equation!
right!?

Can you solve for \(\theta~\)?

Answer 18

do any of you know spanish by chance? i need help with it!

Answer 19

post this on physics and i'll show you how to do it.

Answer 20

PS

the sure sign that the wheel have come of here is the absence of k in the final DE, like it doesn't exist, yet in the drawing they are always pushing in the same **restorative** direction.

SHM is all about linear or linearised restorative forces.

Answer 21

I GOT IT!

Answer 22

you've still got an l in there but it looks good

Answer 23

That is my instructor had in her solution.