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Answers to Chapter 13 Problems

 

13.2.1   5.0 m s–1;    –2.36 m s–1  

13.2.2   (i)  0.165 m   (ii)  4.08 rad

13.2.3   y = –0.024sin(11.22x â€“ 314.2t – 1.413);    â€“35 mm

13.4.1   1.5 × 10–7 W;  47 dB

13.4.2   1.07 Ã— 10–11 m;   6.75 × 10–8 m s–1

13.4.3   1 cm

13.6.1   4.8 cm;    12.0 cm

13.6.2   0.4 m

13.6.3  2.49 m and 0.341 m

13.6.4  3.2 cm;    two points

13.6.5  11.2 mm

13.6.6  (a) 12 maxima     (b) 12 minima

13.8.1  1.48 m;   y = 0.125sin(8.49x)cos(3217t);    67.6 m s–1

13.8.2   23 Hz;    69 Hz

13.8.3   5.68 mJ;   22.7 mJ

13.9.1   1806 Hz

13.9.2  (a) 446 Hz    (b)  370 Hz    (c)  569 Hz    (d)  290 Hz

13.9.3  (a) 81.5 kHz    (b) 83.0 kHz

13.11.1  29.2 N

13.11.2  0.31 W

13.11.3  1.42 × 10−5 K−1

13.11.4  190 Hz

13.11.5   f =  \( {1 \over ld}{\sqrt{T \over \pi \rho}} \)  and hence, for fixed l and T,  f  \(  \propto {1 \over d} \)

13.12.1  0.088 s

13.12.2  1.75 kHz

13.13.1  Î³ = 1.27

13.13.2  6.44 m

13.13.3  0.34 m

13.14.1  \( {\Delta T \over T} \) = 0.032

13.14.2  507 Hz

13.14.3  504 Hz;    0.016

13.15.1   The only non-zero co-efficients are b1 = \(  {4h \over \pi} \)  and b2 = \(  {4h \over {3 \pi}} \) 

             

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