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x(1) = 5 sin (omegat + 30^(@)) x(2) = ...

`x_(1) = 5 sin (omegat + 30^(@))`
`x_(2) = 10 cos (omegat)`
Find amplitude of resultant `SHM`.

Text Solution

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`x_(1) = 5 sin (omegat + 30^(@))`
`x_(2) = 10 sin (omegat + (pi)/(2))`
`A = sqrt(5^(2) + 10^(2) + 2 xx 5 xx 10 cos60^(@))`
`= sqrt(25 + 100 + 50) = sqrt(175) = 5sqrt(7)`
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