Irodov – Problems in General Physics

4.164. Fee Fig. 35, for (a) and (b); see Fig. 36 for (c).

4.165. (a) ivp =^1 /^2 pa^2 w^2 sin^2 kx•cos^2 wt;^ (b) wk =^1 /^2 pa^2 w^2 X

X cost kx• sin 2 wt. See Fig. 37.

0(/27,z.

t=T/2

4(r)

Fig. 35.

4.166. amus = 5 mm; to the third overtone.

4.167.— 1712 (1 +111) = 1.4.

vi r 711 (1+112)

4.168. Will increase11= 17 11 -1-1-f/IT 2 times.

at

Fig. 36.^ Fig. 37.

4.169. v = 21v = 0.34 km/s.

4.170. (a) vn = ir (2n +1), six oscillations; (b)

also six oscillations. Here n=0, 1, 2, ...

2n-1-1 VT

4.171. v 7 ,— (^) 2/ — p -- 3.8 (2n+1) kHz; four oscillations with
frequencies 26.6, 34.2, 41.8, and 49.4 kHz.
4.172. (a) Tmax----- 1 /4 7 nw (^2) 4nax; (b) (T)= 1 /8m(0 2 4nax•
4.173. W =^1 /jcSpw^2 a^2 /k.
4.174. v = 2v ovu/ (v 2 — u 2 ) 2vou/v = 1.0 Hz.