(a) Note that the displacement of bead 4 at \(t_{4}\) in Figure \(16.7 a\) is the same as that of bead 3 at \(t_{3}\). How do the velocity and acceleration of bead 4 at \(t_{4}\) compare with those of bead 3 at \(t_{3}\) ?

(b) You move one end of two different strings, A and B, up and down in the same way. Suppose the resulting pulse travels twice as fast on string \(\mathrm{A}\) as on string B. How does the velocity of a particle of string A compare with the velocity of a particle of string B that has the same nonzero displacement?

(c) Sketch the pulses as they propagate along the two strings and point out any differences between the two.

(d) For each string, consider a particle located \(0.20 \mathrm{~m}\) from the left end. Sketch a displacement-versus-time graph for each particle, and point out any differences between your two graphs.

Transcribed Image Text:

Figure 16.7 Forces and accelerations that cause a wave pulse to propagate along a string of beads. (a) Wave pulse propagates along string of beads (b) Free-body diagrams for bead 3 (c) Velocity and acceleration vectors for bead 3 2 3 4 Fi F +1 + 2 a v