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107_Problem CHAPTER 10 - PROBLEM 10.91 CONTINUED and VSP =...

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PROBLEM 10.91 CONTINUED and 2 1 5 cos 2 2 2 SP a V k θ θ φ = 2 2 2 5 cos 8 2 ka θ θ φ = 2 2 2 5 cos cos 2 2 V Pa ka θ θ θ φ = + Then 2 2 5 sin 2 cos 8 2 dV Pa ka d θ θ θ φ θ = − + 2 1 cos sin 2 2 2 θ θ θ φ φ +  ( ) 2 2 2 5 1 sin 2 cos sin 2 2 2 2 Pa ka θ θ θ φ θ φ θ = − + + 2 2 2 2 5 cos 2cos 2 2 d V Pa ka d θ θ φ θ = − + ( ) 1 2 cos sin sin 2 2 2 2 θ θ θ φ φ θ φ θ + ( ) 2 1 cos 2 2 θ φ θ ( ) 2 2 5 3 cos 2cos sin 2 2 2 2 Pa ka θ θ φ θ φ θ = − + + ( ) 2 1 cos 2 2 θ φ θ
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