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Problem 72 Medium Difficulty

If stationary observers measure the shape of a passing object to be exactly circular, what is the shape of the object when viewed face-on by observers on board the object, traveling with it?

Answer

A moving object appears contracted to a stationary observer. So an object that appears to be
exactly circular is not actually circular in shape but is elliptical, which when moves appear circular
because of length contraction.

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Video Transcript

so the shape appears to be perfectly circular now because off lend contruction, a high speed electrical object would appear to be perfectly spherical if the object is straggling traveling along the long axis off the elliptical shape. Now the Lawrence Contruction, or the length contraction, squashes the long axis off the elliptical shape to make it the same length as the access that is perpendicular to the circle out off motion that by oh showing it, Toby, a circular shape of the spirit can ship. So the onset is and you because and the object is traveling along the election off motion off the ship on DDE longer along bits prediction off motion. So if the ship is ah longer along the direction off motion, Or you can say that the lone access is along the direction off motion than that long axes get shortened or get scorched to match with the short axis or to match with the other access that is perpendicular to it on by you get a perfect ah shape off a circle. Thank you

Kansas State University
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