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Old Apr 27th 2018, 04:03 AM   #1
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Inertial frames of a falling stick

"In an inertial frame of reference 1 a stick AB of Length L parallel to the x-axis falls down vertically under gravity, reaching the ground at time t=t*. In a different inertial frame of reference 2, which is moving with respect to reference frame 1 in the x direction with velocity v2,1, the ends A and B hit the ground at different times. Find the time interval an space distance between the two ends of the stick touching the ground in frame 2."

Using suvat equations I found that the stick is initially at height h=(g(t∗)2)/2 however from there I cannot seem to make any progress, I keep getting that there is no time difference or spacial distance between A and B hitting the ground in frame 2. Any help is appreciated thanks
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Old Apr 27th 2018, 05:53 AM   #2
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Your problem is using a "Newtonian" formula in an "Einsteinian" situation. In order that the two ends of the stick not hit the ground "simultaneously", reference frame 2 must be traveling horizontally at a high fraction of c relative to reference frame 1.
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Old Apr 27th 2018, 07:35 AM   #3
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Oh course i wondered why it wasn't working with Galilean transformations! just did the question now and i think i've got it so thank you for that pointer
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