A S.H.M. is given by y=5[sin(3pit)+sqrt(3)cos(3pit)]. What is the amplitude of the motion if y is in metres ?

A S.H.M. is given by y=5[sin(3pit)+sqrt(3)cos(3pit)]. What is the ampl

1.	A S.H.M. is given by y=5[sin(3pit)+sqrt(3)cos(3pit)]. What is the amplitude of the motion if y is in metres ?
Answer» 2 m 5 m 4 m 10 m. Solution :`y=5 SIN(3pi t)+5sqrt(3) cos (3pi t)`. `r=SQRT(r_(1)^(2)+r_(2)^(2)+2r_(1)r_(2)cos phi)` `=sqrt(5^(2)+(5sqrt(3))^(2)+2xx5xx5sqrt(3)cos 90^(@))=10` m. Hence correct choice is (d).

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A S.H.M. is given by y=5[sin(3pit)+sqrt(3)cos(3pit)]. What is the amplitude of the motion if y is in metres ?

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