- #1
Hernaner28
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Homework Statement
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.
Homework Equations
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!