Three simple harmonic motions of equal amplitudes A and equal time periods in the same direction combine. The phase of the second motion is `60^@` ahead of the first and the phase of the third motion is `60^@` ahead of the second. Find the amplitude of the resultant motion.

(a) A particle is subjected to two SHMs of same time period in the same direction. If A_1=6cm , A_2=8cm , find the resultant amplitude if the phase difference between the motions is (a) 0^@ , (b) 60^@ , (c) 90^@ and (d) 120^@ . (b) In the previous problem if A_1=A_2=a and resultant amplitude is also a, find phase difference between them. (c) Three SHMs of equal amplitude A and equal time periods in the same direction combine. The phase of the second motion is 120^@ ahead of first and the phase of the third motion is 120^@ ahead of the second. Find the amplitude of the resultant motion.

A particle is subjected to three SHM's in same direction simultaneously each having amplitude a and equal time period. The phase of the second motion is 30^(0) ahead of the first and the phase of the third motion is 30^(0) ahead of the second. Find the amplitude of the resultant motion.

Time S.H.M. of equal amplitude a and equal time period in the same direction combine. The first is 60^(@) ahead of the second and second is 60^(@) ahead of the third S.H.M . The amplitude of the resultant oscillation is:

Three SHO's of equal amplitude A and equal time period combine in the same direction. The difference in phase between successive SHO's os 60^(@) ahead of the other. The amplitude of the resultant oscillation is

The phase of simple harmonic motion at t = 0 is called

A simple harmonic motion of amplitude A has a time period T. The acceleration of the oscillator when its displacement is half the amplitude is

A simple harmonic motion of amplitude has a time period T.theacceleartion fo the oscillator when its displacement is half the amplitude is :