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Q.

Three simple harmonic motions of equal amplitudes A and equal time periods along the same line combine. The phase of the second motion is 60o ahead of the first and phase of the third motion is 60o ahead of the second. The amplitude of resultant motion is

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a

3A

b

22A

c

3A

d

2A

answer is D.

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Detailed Solution

The resultant of three vectors shown in the figure is 2A (along the direction of 2).
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Three simple harmonic motions of equal amplitudes A and equal time periods along the same line combine. The phase of the second motion is 60o ahead of the first and phase of the third motion is 60o ahead of the second. The amplitude of resultant motion is