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1-Visitor
August 23, 2016
Question

Resolution oscillation frequency

  • August 23, 2016
  • 8 replies
  • 3454 views

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 :Ex 1.jpg

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

Ex 1 - 2.jpg

Simply:

Ex 1 - 3.jpg

Deriving and operating:

Ex 1 - 4.jpg

Replacing variables:

Ex 1 - 5.jpg

Simply:

Ex 1 - 6.jpg

The expression of the natural frequency is thus:

Ex 1 - 7.jpg

Ex 1 - 8.jpg

Thanks!

8 replies

23-Emerald IV
August 23, 2016

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

Luc

1-Visitor
August 23, 2016

Yes, All equations

Thanks !

23-Emerald IV
August 24, 2016

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

21-Topaz II
August 24, 2016

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?

12-Amethyst
August 24, 2016

... 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.

21-Topaz II
August 24, 2016

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