sln7 - HW#7 Problem 1(a F E = E e sin E M F M = M e sin M M...

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HW#7 Problem 1 (a) [ ] sin [ ] sin sin 0 sin 0 sin 0 [ ] 0 0 F E E e E M F M M e M M e M M M e M F M e π = = = − → − (b) [ ] sin [ ] sin( ) (1 sin( )) 0 0 sin( ) 0 1 sin( ) 0 (1 sin( )) 0 [ ] 0 0 F E E e E M F M e M e e M e M e M e M M e M e M e e M e F M e e π π = + = + + = + + + + + + (c) [ ] sin 1 sin 1 sin 1 1 1 1 1 1 1 1 0 1 1 0 1 0 1 1 1 0 0 sin 0 sin 0 0 1 1 1 1 1 sin 0 1 1 1 F E E e E M M M M M F e M M e e e e e e M e e e M M M M e e e e M M M e F e e e π π = = = + + + + + + + + → − + + + + + + 0 e
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(d) ( ) ( ) [ ] sin sin 1 1 1 1 1 sin 1 1 1 1 (1 )sin 1 (1 )sin 1 sin 1 1 sin 1 1 1 sin F E E e E M M M M F e M e e e M M e e e M M e e e e M Me e e e Me M e e e Me M M e let e e e e θ θ θ = =
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