(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Consider, as shown in the picture, a penulum of mass m=0.52g, hanging on an ideal rope of length l=0.31m. A force is exerted to this pendulum as shown in the picture.

The horizontal component of the force is:

[tex] \displaystyle {{F}_{x}}={{F}_{0}}\cos \left( \omega t \right)[/tex]

[tex] \displaystyle {{F}_{0}}=2.3N[/tex]

Calculate the angular frequency that will make the system oscilate with the maximum amplitud. Consider small oscilations around the equilibrium position.

2. Relevant equations

3. The attempt at a solution

I did nothing beucase I don't know how to deal with that variable force. BUT, what I did was to use the angular frequency of a simple pendulim which is

[tex] \displaystyle \sqrt{\frac{g}{L}}[/tex]

And I just replaced the values and I got the correct answer! 5.6rad/s.

But my question is: why did I get the correct result if there's a force there?

Thanks!

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# Homework Help: Simple pendulum (SHM) problem

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