Question

For the simple harmonic motion equation d=2 sin (pi/3 t), what is the maximum displacement from the equilibrium position?




is it 2?

Answer 1

yeah...!! cause the '2' in the equation there represents the amplitude. what do you think that means?? maximum displacement from mean position!

Right-O!!

Answer 2

yes, it is.
here's something to think about:
the function sin(x) is never bigger than 1, no matter what number you choose to plug into it.
therefore the maximum value of the equation d= 2sin(x) is 2.

Answer 3

yes, that is the maximum value possible from that equation, since sin(any value) <= 1

Answer 4

Thanks! :)

Answer 5

The equation is d = A sin ( ωt ) ;
where A is the amplitude (that is : maximum displacement from the equilibrium position) ;

So d = A = 2 ( maximum displacement ) and its + or - is the position relative to equilibrium ,
when sin ωt = ±1 ==> t = 3( 2k+1)/ 2 , where k natural.

Yes it is