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Discussion Response Post to: resultant amplitude..

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Soumen Goswami (2446)

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total posts: 1777
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These problems are best solved geometrically using phasors (vectors).
The general funda is that Asin(

) can be represented by Aeⁱ

, that is a vector of magnitude A at an angle

with +X axis.
A cos

t is a vector of magnitude A along the +Y axis.
(A/2)cos(

/4) is a vector of magnitude A/2 making an angle

/4 +

/2 with X axis.
(A/4)cos(

) is a vector of magnitude A/4 along the negative Y axis.
(A/8)cos(

t+3

/2) is a vector of magnitude A/8 along +X axis.
Add these vectors.
Now the answer will be in the form Asin(

)
The resultant magnitude is the A.
The angle the resultant makes with the +X axis is the

All men dream but not equally. Those who dream by night in the dusty recesses of their minds wake in the day to find that it was vanity; but the dreamers of the day are dangerous men, for they may act their dream with open eyes to make it possible.

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