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Unformatted text preview: itself). C. A needle of length 1 is spinning through the air. Let L x,y ( t ) be the length of its projection on the x, y plane at time t ; let L x,z ( t ) be the length of its projection on the x, z plane at time t ; and let L y,z ( t ) be the length of its projection on the y, z plane at time t . Show that regardless of the fashion in which the needle is spinning, [ L x,y ( t )] 2 + [ L x,z ( t )] 2 + [ L y,z ( t )] 2 stays constant as t varies. Please dont forget to write down who you worked on the assignment with (if nobody, then write I worked alone), and record how much time you spent on each problem (this doesnt need to be exact) on the time-sheets I gave out in class....
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- Fall '11