Chapter 37, Problem 67P

Continuation of Problem 65. Let reference frame C in Fig. 37-31 move past reference frame D (not shown). (a) Show that

M_AD = M_ABM_BCM_CD.

(b) Now put this general result to work: Three particles move parallel to a single axis on which an observer is stationed. Let plus and minus signs indicate the directions of motion along that axis. Particle A moves past particle B at ß_AB = +0.20. Particle B moves past particle C at ß_BC = −0.40. Particle C moves past observer D at ß_CD = + 0.60. What is the velocity of particle A relative to observer D? (The solution technique here is much faster than using Eq. 37-29.)