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The displacement of a particle is represented by the equation 3 y t = sin ω . The motion is

(a) Non-periodic.

(b) Periodic but not simple harmonic.

(c) Simple harmonic with period 2π/ω.

(d) Simple harmonic with period π/ω.

0 2 Views | Posted 4 months ago
Asked by Shiksha User

  • 1 Answer

  • P

    Answered by

    Payal Gupta | Contributor-Level 10

    4 months ago

    This is a multiple choice answer as classified in NCERT Exemplar

    (b) y = sin3wt

    = [3sinwt-4sin3wt]/4

    dy/dt= [ d d t 3 s i n w t - d d t ( 4 s i n 3 w t ) ]/4

    4dy/dt=3wcoswt-4 [3wcoswt]

    4 × d 2 y d t 2 = - 3 w 2 s i n w t + 12 w s i n 3 w t

    d 2 y d t 2 = - 3 w 2 s i n w t + 12 w 2 s i n 3 w t 4

    d 2 y d t 2  is not proportional to y. hence it is not SHM.

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