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.

Three simple harmonic motion 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.

Three simple harmonic motion 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.

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.

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.

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.

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:

A particle is subjected to two SHMs in the same direction having equal amplitude and equal frequency. If the resultant amplitude is equal to the amplitude of individual motion. What is the phase difference between the motions?

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