General Relativity: An Introduction for Physicists · Problem 1.7

The spacetime of special relativity — Hobson, Efstathiou & Lasenby

Physics · length-contraction-rotating-rod

Problem

The frames

S

and

S'

are in standard configuration. A straight rod rotates at a uniform angular velocity

\omega'

about its centre, which is fixed at the origin of

S'

. If the rod lies along the

x'

-axis at

t' = 0

, obtain an equation for the shape of the rod in

S

t = 0