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A vibratory motion is represented by x=2...

A vibratory motion is represented by `x=24cosomegat+A cos(omegat+(pi)/(2))+A cos(omegat+pi)(A)/(2)cos(omegat+(3pi)/(2))`
the resultant amplitude of the motion is

A

`(9A)/(2)`

B

`(sqrt(5)A)/(2)`

C

`(5A)/(2)`

D

2A

Text Solution

Verified by Experts

The correct Answer is:
B

`R=sqrt(A^(2)+(A^(2))/(4))=(sqrt(5)A)/(2)`
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