a. According to cosmonauts' observations, the body inside the spacecraft performs harmonic motion with a frequency ω and an amplitude A along the spacecraft axis z = Asinωt. How will the axial coordinate of this body be related to time according to observations from the Earth, if the ship is moving away from the Earth at a speed βc?
b. Solve the problem of point a if the body inside the ship, according to the observations of astronauts, made the same harmonic motion across the axis of the ship, y = Asinωt.
14.3 The transformation of electric and magnetic fields