Resolution oscillation frequency

[lramoslima]

Hello everyone !

I'm new Mathcad user and do not have much practice with the tool. I would like to help.

Can anyone help me solve this problem with Mathcad?

To determine the frequency of oscillation of the pendulum harmonic figure next to

Data :

m = 5 Kg

K1 = 50 N/m

K2 = 130 N/m

mR = 10 kg

R = 1,2 m

Applying the solution by the energy equation method

Simply:

Deriving and operating:

Replacing variables:

Simply:

The expression of the natural frequency is thus:

Thanks!

[LucMeekes]

So....what is there (left) to be solved?

Luc

[lramoslima]

Yes, All equations

Thanks !

[LucMeekes]

Still not clear what you are after.

You say you're a new Mathcad user. If you want to learn, then start NOW by entering your equations in Mathcad. Indicate where you cannot go further and attach your sheet with an appropriate problem explanation.

Success!

Luc

[LucMeekes]

Or is it that you've made a mistake, because in your expression for omega.n the unit does not come out as rad/s:

Success!
Luc

[LucMeekes]

Sorry, my fault. Had myself mislead by the symbolic processor not being able to manipulate units.

The units for omega.n are OK:

Luc

[-MFra-]

Assuming that the system is immersed in a conservative gravitational field, you should also consider the potential energy of the mass m. Or the system is in outer space free from gravitational field?

[AlvaroDíaz]

... or in a lake, just where the displaced water equals the 5 kgf. For know how deepest, must to know the mass volume ... and the density distribution, maybe isn't homogeneous ... and the water salinity and temperature, atmospheric pressure, and wind speed (don't know for what, but always it's a good data).

Alvaro.

[-MFra-]

... I do not think that it is the case to exaggerate, since we are facing a problem, for students of theoretical mechanics.