Question

The frame K' moves with a constant velocity V relative to the frame K. Find the acceleration ω' of a particle in the frame K', if in the frame K this particle moves with a velocity v and acceleration ω along a straight line

(a) in the direction of the vector V;

(b) perpendicular to the vector V.

Answer 1

In K the velocities at time t and t + dt are respectively v and v + wdt along x - axis which is parallel to the vector v. In the frame K' moving with velocity vector v with respect to K, the velocities are respectively

(b) In the K frame the velocities of the particle at the time t and t + dt are respectively 

(0,v,0) and (0,v+wdt,0)

where vector V is along x-axis. In the K frame the velocities are