= + 2 w 
+ w2 x
= - 2 w 
+ w2 y
(Note: If we include gravity in the -z direction, the equation of motion for the z direction will be that of simple freefall. The angular rotation produces no effect in the z direction.)
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Consider a coordinate system fixed to a rotating platform (such as a Merry-Go Round or Lazy Susan) that has a constant angular velocity w along the +z axis, pointing out of the page. Ignoring gravity, show that the x and y equations of motion for a particle in the platform system are given by
= + 2 w + w2 x
(Note: If we include gravity in the -z direction, the equation of motion for the z direction will be that of simple freefall. The angular rotation produces no effect in the z direction.) |
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Hardcopy entries should be submitted in class by noon on Monday of next week. Answers should be concise but complete.