A Falling Rod's Intersection Moving Faster Than Light?

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SUMMARY

The discussion centers on the question of whether the intersection point of a falling rod can move faster than light. The participant concludes that it is possible for the intersection point to exceed the speed of light due to the rod's angle θ with the x-axis, even without requiring relativistic speeds. The calculations indicate that as the rod falls vertically, the horizontal component of its movement can create an illusion of superluminal speed at the intersection point.

PREREQUISITES
  • Understanding of basic geometry and angles in physics
  • Familiarity with the concept of speed in relation to light
  • Basic knowledge of relativity and its implications
  • Ability to perform geometrical calculations
NEXT STEPS
  • Research the principles of special relativity and the speed of light limit
  • Explore the concept of superluminal motion in physics
  • Study the effects of angles on motion dynamics
  • Investigate the implications of non-rotational motion in falling objects
USEFUL FOR

Students of physics, particularly those interested in relativity, geometry, and motion dynamics. This discussion is beneficial for anyone exploring the implications of speed limits in physics and the behavior of falling objects.

LoadedAnvils
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Homework Statement


There is a rod falling at a speed v that makes an angle θ with the x-axis as it falls. Is it possible for the intersection point to move faster than light as it falls.


Homework Equations





The Attempt at a Solution



I have done the geometrical calculations and I think yes, it does (which is fine because it's not a particle moving faster than light, only an image) but I am not sure if I am right.

Since it's moving downwards only, the only compression would be vertical and not horizontal so the speed would not decrease. Can anyone tell me if I am correct or not?
 
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I assume the rod is not rotating.
I don't think it even needs to be falling at relativistic speeds, it just needs a very shallow angle. But I'm no expert on relativity, so I may be missing some subtlety.
 
LoadedAnvils said:
Is it possible for the intersection point to move faster than light as it falls.
Sure. No problem.
 

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