posted by .

Write an equation for simple harmonic motion, given that the amplitude equals 4 inches and the period equals 2 seconds and the max displacement occurs when t=0. answers: y=4sin pi t, y=4cos pi t, y=4cos t, y=4sin2 pi t

  • trig -

    when t=0 , all answers with sin are zero
    all answers with cosine are 4, so we eliminate the sine answers

    period of a sine or cosine function is 2π/k
    but we are told:
    2π/k = 2
    k = π
    so it must be y = 4cos πt

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. trig

    8. Write the equation for simple harmonic motion given that the amplitude is 5 centimeters and the frequency is 2/ ð cycles per second. Assume that the maximum displacement occurs when t = 0. a. y = 5sin4t b. y = 5cos2t c. y = 5cos4t …
  2. physics

    A particle executes simple harmonic motion with an amplitude of 10 cm and time period 6 s. At t=0 it is at position x=5 cm going towards positive x direction . Write the equation for the displacement x at time t. Find the magnitude …
  3. Physics: Simple Harmonic Motion

    A 10kg particle undergoes simple harmonic motion with an amplitude of 2.0mm, a maximum acceleration of 8.0x10^3 m/s^2, and an unknown phase constant (phi) What are: a.) the period of the motion b.) the maximum speed of the particle …
  4. trig

    cos@-4SIN@=1 then sin@+4cos@=
  5. Trig

    what is the amplitude, period, phase shift, and vertical shift of each equation?
  6. trig

    Consider the trigonometric function f(t) = -3+4cos(pi/3(t-3/2)) What is the amplitude/period of f(t)?
  7. PHYsics !!

    a) What do you understand by Simple Harmonic Motion?
  8. physics

    A piston of a car engine executes a simple harmonic motion. the acceleration a of the piston is related to its displacement x by the equation: a = -6.4*10^5x a) Calculate the frequency of motion b) The piston has a mass of 700 gms …
  9. simple harmonic motion

    a simple harmonic motion is represented by x=4sin[3t+3.14/4].find the angular frequency and amplitude and what is the velocity and acceleration at t=1 second.
  10. Trig

    Convert the polar equation to rectangular form. r=4cos-4sin What I have so far: r^2=4rcos-4rsin x^2+y^2-4x+4y x^2-4x+y^2+4y=0

More Similar Questions