Question

in simple harmonic motion is given by x = 5(sin 3π t + √3 cos 3 π t). the amplitude is ,

Answer 1

Explanation:

x =5(sin (3πt)+√3 cos(3πt)) =>

x = 5×2( 1/2 sin(3πt)+√3/2cos(3πt))=>

x=10(cos(60°)sin(3πt)+sin(60°)cos(3πt)) =>

x=10(sin(3πt+60°)). Compare it with standard form of Simple harmonic motion

equation x=Asin(wt+p) where A is the amplitude, w = angular frequency and p is the phase angle. So the value of Amplitude is 10. Hope it helps you.