Chapter 4, Problem 81PQ

An experimentalist in a laboratory finds that a particle has a helical path. The position of this particle in the laboratory frame is given by

$\stackrel{\to }{r}(t)=R\cos \omega tî+R\sin \omega t�+v_{z}t\hat{k}$

where R, v_z, and ω are constants. A moving frame has velocity ${({\stackrel{\to }{v}}_M)}_L=v_z\hat{k}$ relative to the laboratory frame.

1. a. What is the path of the particle in the moving frame?
2. b. What is the velocity of the particle as a function of time relative to the moving frame?
3. c. What is the acceleration of the particle in each frame?
4. d. How should the acceleration in each frame be related? Does your answer to part (c) make sense? Explain.