The function A() is as given by (10 55) and shown in Figure 10 27 Show that A() has a simple maximum point when max Find max as a function of and , and also find A( max ) For , A(2) has no maximum, but does have a single point of inflection Show, by consideration of Figure 10 27, that dA d is a max...

1 AQ w 45 w1 To find its turning values we set the diffe ...

The function A() is as given by (10.55) and shown in Figure 10.27. Show that A() has

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The function A(Ω) is as given by (10.55) and shown in Figure 10.27. Show that A(Ω) has a simple maximum point when ζ max. Find Ω_max as a function of ζ and ω , and also find A(Ω_max).

For >, A(2) has no maximum, but does have a single point of inflection. Show, by consideration of Figure

Show that dA (0)/d2] is minimized when = . The two values of that minimize the maxima of |dA/d2 and dA(0)/d2

Figure 10.27 The response of damped second-order systems to sinusoidal forcing. A (22) A (0) 5.0- 4.0- 3.0-

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Modern Engineering Mathematics

ISBN: 9781292253497

6th Edition

Authors: Glyn James

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The function A() is as given by (10.55) and shown in Figure 10.27. Show that A() has

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