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Question: Physics exercise

Question:Physics exercise

JacquesC 2381 Maple
November 07 2007
0
I have one awful, long way to solve the problem below, but I am sure there is also an elegant solution; unfortunately, it currently escapes me. Consider a rigid sphere of radisu 1 and center at 0 that rotates about its center. The angular velocity is omega(t) = Vector([ cos(t), sin(t), sqrt(3) ]). Does the path of the point starting at (0,0,1) ever reach the same point at a later time?
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