p35_012 - 12. (a) From Eqs. 35-3 and 35-4, we obtain i = pf...

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Unformatted text preview: 12. (a) From Eqs. 35-3 and 35-4, we obtain i = pf /(p − f ) = pr/(2p − r). Differentiating both sides with respect to time and using vO = −dp/dt, we find vI = di d = dt dt pr 2p − r = −rvO (2p − r) + 2vO pr = (2p − r)2 r 2p − r (b) If p = 30 cm, we obtain vI = 2 15 cm 2(30 cm) − 15 cm (5.0 cm/s) = 0.56 cm/s . (c) If p = 8.0 cm, we obtain vI = 15 cm 2(8.0 cm) − 15 cm 2 (5.0 cm/s) = 1.1 × 103 cm/s . (d) If p = 1.0 cm, we obtain vI = 15 cm 2(1.0 cm) − 15 cm 2 (5.0 cm/s) = 6.7 cm/s . 2 vO . ...
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