Relativity of Simultaneity (and Lorentz transformation)

[Oshada]

Homework Statement

Homework Equations

http://upload.wikimedia.org/math/7/8/1/78195e8f63116bf11b2bbef574fbcc25.png

The Attempt at a Solution

I'm not entirely sure how to use the equations; a worked example would be very helpful!

 

[Pi-Bond]

(i) Can you find the time in which light from event R reaches the rocket in the rocket frame? (Remember length contraction)

(ii) How can you express the events L & R (in Mr.Bean's frame) in the form (x,t) using the information given? If you can do this, you simply need to substitute these coordinates into the Lorentz transforms to get the coordinates in the rocket frame.