Three simple harmonic motions in the same direction having the same amplitude and same period are superposed. If each differ in phase from the next by 450, then :
(A) the resultant amplitude is (1 + √2) a
(B) the phase of the resultant motion relative to the first is 900.
(C) the energy associated with the resulting motion is (3 + 2√3) times the energy associated with any single motion
(D) the resulting motion is not simple harmonic
(I.I.T 1999)
Three simple harmonic motions in the same direction having the same amplitude and same period are superposed. If each differ in phase from the next by 450, then :
(A) the resultant amplitude is (1 + √2) a
(B) the phase of the resultant motion relative to the first is 900.
(C) the energy associated with the resulting motion is (3 + 2√3) times the energy associated with any single motion
(D) the resulting motion is not simple harmonic
(I.I.T 1999)










