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Final Exam 102M Fall 2006

# Final Exam 102M Fall 2006 - Physics 102M Lab Final Name...

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Physics 102M Lab Final Name_______________________ Date________________________ 1. Briefly describe the advantage of using angular quantities when studying the motion of a complicated object rotating about a fixed point. 2. Give a simple physical argument for what the direction and magnitude of the buoyant force must be. 3. Based on the dimensions of velocity, give a simple argument for what the dispersion relation of a wave moving at constant velocity should be.

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4. There is a characteristic length and characteristic time associated with a traveling wave. What are these two quantities? Briefly discuss why they are called “characteristic”. 5. How many nodes and antinodes are there in the drawing of the standing wave drawn below? What is the relation between the wavelength and the length of the string for the standing wave drawn below? 0.2 0.4 0.6 0.8 1 x -1 -0.75 -0.5 -0.25 0.25 0.5 0.75 1 U
6. Draw the free body diagram associated with a simple pendulum. Using τ = Iα, show that the angular frequency should be chosen so that ω^2 = g/L. Where L is the length of the pendulum.

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