The Department of Physics. Part IA Natural Sciences Tripos 2013/14. Rotational Mechanics & Special Relativity. Lecture 1. Point your browser at: www-teach.phy.cam.ac.uk/teaching/handouts.php. Course materials. This space is for your own notes. Text-book references:
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Rotational Mechanics
& Special Relativity
Mechanics in Rotational Motion
We require that the total turning moment about C is zero, so we define its position to be such that m1l1 = m2l2. Since l1 = x0 – x1, and l2 = x2 – x0, we can write this as
where M = m1+m2.
G = rF
Rotational Mechanics
& Special Relativity
Rotational Mechanics
& Special Relativity
Rotational Mechanics
& Special Relativity
Einstein’s theory ofSpecial Relativity
Rotational Mechanics
& Special Relativity
This was easily measured by Bradley, and appeared to show evidence for a stationary aether.
Now consider the path ABA:
Both AB and BA are across the wind. The light gets ‘blown’ to the right, so the path from A to B is slightly against the flow and takes longer.
Rotational Mechanics
& Special Relativity
Rotational Mechanics
& Special Relativity
Rotational Mechanics
& Special Relativity
sin( ) =cos()
as Bradley measured and used as evidence, incorrectly, of the existence of the Aether.
pulses in frame S:
Rotational Mechanics
& Special Relativity
Rotational Mechanics
& Special Relativity
Now transform into a frame travelling through the laboratory with speed vcos(θ):
Rotational Mechanics
& Special Relativity
I wish you a pleasant Easter break