F11Physics1CLec12C

# F11Physics1CLec12C - Physics 1C Lecture 12C "Fluctuat nec...

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Physics 1C Lecture 12C "Fluctuat nec mergitur. = She is swayed by the waves but does not sink." --Motto of the city of Paris

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Outline Homework is intended for practice and preparation It is the basis for the problem discussion sections Finish with pendulum Start on waves
Simple Pendulum The simple pendulum is another example of simple harmonic motion. Making a quick force diagram of the situation, we find: The tension in the string cancels out with a component of the gravitational force ( mg cos θ ). This leaves only the perpendicular component causing acceleration.

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Simple Pendulum q = max cos ( w t + f ) In the tangential direction: The length, L, of the pendulum is constant and for small values of : This confirms the form of the motion is SHM !!! The general solution is:
Simple Pendulum The angular frequency is The period is The period and frequency depend only on the length of the string and the acceleration due to gravity The period is independent of the mass

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Example A 300g mass on a 30cm long string oscillates as a pendulum. It has a speed of 0.25m/s as it passes through the lowest point. What maximum angle does the pendulum reach? (Assume the angle remains small enough for the motion to be SHM.) Answer First, you must define a coordinate system. The lowest possible point can be
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## This note was uploaded on 12/11/2011 for the course PHYS 1C taught by Professor Smith during the Fall '07 term at UCSD.

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F11Physics1CLec12C - Physics 1C Lecture 12C "Fluctuat nec...

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