Give the equation modeling the displacement as a function of time.?

An object moves in simple harmonic motion with period 6 minutes and amplitude 12m. At time=0 minutes, its displacement d from rest is 0m, and initially it moves in a negative direction.

Give the equation modeling the displacement as a function of time .

2 Answers

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  • NCS
    Lv 7
    2 months ago
    Favorite Answer

    x = 12*sin(2πt/6 - π)

    for x in meters and t in minutes.

  • Vaman
    Lv 7
    2 months ago

    Let the displacement y be= a sin wt + b cos wt

    Put the values a and b.

    At t=0, y=0. This possible when b=0

    Answer is y = a sin wt. Put the values y=12 sin (t/6).  Initially, it moves to left.

    y= -12 sin (t/6). In angles,  you can write it as

    y= -12 sin (2pi t/6)= 12 sin (2pi t/6+pi)

    This seems to be the answer.

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