Manfra6 - Course Business: PHYS342 Lecture 6 Due Friday Jan...

Info iconThis preview shows pages 1–5. Sign up to view the full content.

View Full Document Right Arrow Icon
Course Business: PHYS342 Lecture 6 Due Friday Jan 28th in class Problem set 2 From Modern Physics chapter 2: Problems: 12 through 17 and 19 through 21 and problem 23
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Proper Length When both endpoints of an object (at rest in a given frame) are measured in that frame, the resulting length is called the Proper Length . We’ll find that the proper length is the largest length observed. Observers in motion will see a contracted object.
Background image of page 2
Length Contraction Proper length 0 2 2 2 2 ( ) v( ) 1 v / 1 v / r r r x x t t L L x x L c c γ - + - = - = = = - - l l l r t t = l x l r x where Mary’s and Melinda’s measured length is: r L x x = - l 2 2 0 0 / 1 v / L L L c = = - Moving objects appear thinner! L 0 Frank Sr. Frank Sr., at rest in system K, measures the length of his somewhat bulging waist: L 0 = xr - x Now, Mary and Melinda measure it, too, making simultaneous measurements ( ) of the left, , and the right endpoints, Frank Sr.’s measurement in terms of Mary’s and Melinda’s:
Background image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
So Mary and Melinda see Frank Sr. as thinner than he is in his own frame. But, since the Lorentz transformation is symmetrical, the effect is reciprocal: Frank Sr. sees Mary and Melinda as thinner by a factor of γ also. Length contraction is also known as Lorentz contraction . Also, Lorentz contraction does not occur for the transverse directions,
Background image of page 4
Image of page 5
This is the end of the preview. Sign up to access the rest of the document.

Page1 / 15

Manfra6 - Course Business: PHYS342 Lecture 6 Due Friday Jan...

This preview shows document pages 1 - 5. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online