Length Contraction & Angled Motion

In summary, if an object is moving at an angle to the direction of motion, its length will contract in the direction of motion but not in the perpendicular direction. To find the overall length contraction, the length must be resolved into components, with one parallel and one perpendicular to the direction of motion, and then these components must be recombined to determine the overall length contraction.
  • #1
asdf1
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if length contraction only applies in the direction of motion, then what happens if there is an angle to the direction of motion that's not perpendicular?
 
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  • #2
asdf1 said:
if length contraction only applies in the direction of motion, then what happens if there is an angle to the direction of motion that's not perpendicular?
I assume you are asking "What happens to the length in a direction that is neither parallel nor perpendicular to the direction of motion?" If that is what you mean, then the answer is:

Resolve the length into two components, one of which is parallel to the direction of motion and the other of which is perpendicular to it. The length of the component that is parallel to the direction of motion will contract, but the length of the component that is perpendicular will not. Recombine the new components and take the length of the resultant. Compare the length of the resultant to the original length. That is the contraction.
 
  • #3
thank you very much! :)
 

FAQ: Length Contraction & Angled Motion

What is length contraction?

Length contraction is a phenomenon in special relativity where the length of an object appears shorter when it is moving at high speeds relative to an observer.

How does length contraction occur?

Length contraction occurs because of the way time and space are perceived differently by observers in different frames of reference. As an object moves at high speeds, its perceived length along the direction of motion decreases due to the dilation of time.

How is length contraction related to angled motion?

When an object is moving at an angle relative to an observer, its perceived length in the direction of motion will still decrease due to length contraction. However, the perceived length in the perpendicular direction will not be affected.

Can length contraction be observed in everyday life?

Yes, length contraction can be observed in everyday life, but only at extremely high speeds. For example, particles in particle accelerators experience length contraction as they approach the speed of light. However, at everyday speeds, the effects of length contraction are too small to be noticeable.

Is length contraction a real physical phenomenon or just a mathematical concept?

Length contraction is a real physical phenomenon, confirmed by numerous experiments and observations. It is an important concept in special relativity and has been used to make accurate predictions in various fields such as particle physics and astrophysics.

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