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Maths and Vibrations - Tutorial Sheet 3 Solutions

Mathematic



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Maths and Vibrations - Tutorial Sheet 3 Solutions

i)

ii)



iii) (from your argand diagram can you see why weve subtracted 180 degrees)

iv)

v)

For (v) remember (page 19) when multiplying complex numbers moduli are multiplied and angles are added,

similarly when dividing complex numbers moduli are divided and angles subtracted.

i)

ii)

iii)

i)

Referring to graph for cosh set the x axis origin at the middle of the curve.

He we know than when x= 50 y=30 and when x=0 y=4;

We also know that cosh(0)=1.


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