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JEE Main & Advanced Physics Simple Harmonic Motion Question Bank Superposition of S H M and Resonance

  • question_answer
    If the displacement equation of a particle be represented by \[y=A\sin PT+B\cos PT\], the particle executes       [MP PET 1986]

    A)            A uniform circular motion

    B)            A uniform elliptical motion

    C)            A S.H.M.

    D)            A rectilinear motion

    Correct Answer: C

    Solution :

                       \[y=A\sin PT+B\cos PT\] Let \[A=r\cos \theta ,\] \[B=r\sin \theta \] \[\Rightarrow y=r\sin (PT+\theta )\] which is the equation of SHM.


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