Listen NCERT Audio Books to boost your productivity and retention power by 2X.
Three simple harmonic motions of equal amplitudes A and equal time periods in the same direction combine. The phase of the second motion is 60o ahead of the first and the phase of the third motion is 60° ahead of the second. Find the amplitude of the resultant motion.
2 A
let the S.H.Ms be
Resultant will be x =
Resultant amplitude between first two will be
R =
R =
=
= A
Resultant amplitude of all three S.H.Ms will be the resultant of R and
Let be the resultant of all three S.H.Ms then,
[ angle between
will be 60° + 30° ]
=
= 2A