ProblemSet2 - Problem Set 2 Physics 1116 : Due Friday,...

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Problem Set 2 Physics 1116 : Due Friday, 09/10/2010 Please write the names of any classmates with whom you discussed the homework problems at the top of your problem set 1. Consider a rod of length 10 m. One end is pivoted about the origin ( x = 0 ,y = 0). The rod spins with a constant speed in the counter-clockwise direction shown on the figure. It takes 10 seconds to make one entire revolution. At t = 0, the far end of the rod is at ( x = 10 m ,y = 0). Use units of radians in this problem. (a) Write down the functional forms of x ( t ) and y ( t ) which can express the position of the far end of the rod as a function of time. The position vector of the far end of the rod can then be written as ~ r ( t ) = x ( t ) ˆ i + y ( t ) ˆ j . (b) What are the ( x,y ) coordinates of far end of the rod at t = 0 . 1 sec? (c) Using the functional form of the position vector above, calculate the functional form of the velocity vector, ~v ( t ) = d~ r dt . Determine ~v ( t = 0 . 1 sec). (d) Calculate the average velocity vector between
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This note was uploaded on 11/03/2010 for the course PHYS 1116 taught by Professor Elser, v during the Spring '05 term at Cornell University (Engineering School).

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ProblemSet2 - Problem Set 2 Physics 1116 : Due Friday,...

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