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Out of the following functions, representing motion of a particle, which represents SHM?

(A) y = sin \omegat - cos \omegat

(B) y = sin3 \omegat

(C) y = 5 cos[ 3\pi/4 - 3\omegat ]

(D) y = 1 + \omegat + \omega2t2

  • Option 1)

    Only (A)

  • Option 2)

    Only (D) does not represent SHM

     

  • Option 3)

    Only (A) and (C)

  • Option 4)

    Only (A) and (B)

 

Answers (1)

best_answer

As we discussed

Composition of two SHM in perpendicular direction -

x=A_{1}sin omega t

y=A_{2}sin left ( omega t+delta 
ight )

 

 

- wherein

Resultant equation

frac{x^{2}}{A{_{1}}^{2}}+frac{y{_{2}}^{2}}{A{_{2}}^{2}}-frac{2xycos delta }{A_{1}A_{2}}= sin ^{2}delta

 

 Only functions given in (a) and (c) represent S.N.M


Option 1)

Only (A)

Incorrect

Option 2)

Only (D) does not represent SHM

 

Incorrect

Option 3)

Only (A) and (C)

Correct

Option 4)

Only (A) and (B)

Incorrect

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perimeter

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