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S.H.M with initial velocity.

  1. May 14, 2013 #1
    1. The problem statement, all variables and given/known data
    (b) A particle is projected from a point O at time t = 0 and it performs simple harmonic
    motion with O as a centre of oscillation. The motion is of amplitude 20cm and time period
    4 seconds.
    Find:
    (i) the speed of projection;
    (ii) the speed of particle when t = 1:5 seconds;
    (iii) the time when the particle is rst at a point 10cm from O.
    x(0) = x0; x'(0) = v0:


    2. Relevant equations
    v = ωr.
    T = 2pi/ω


    3. The attempt at a solution
    For part (i) is it it correct to assume that the initial velocity is the velocity through the centre of motion? In that case, would the speed of the projection v0 = ωr, where r is the amplitude and ω can be found using 2pi/T?
     
  2. jcsd
  3. May 14, 2013 #2

    gneill

    User Avatar

    Staff: Mentor

    Sure, sounds good.
     
  4. May 14, 2013 #3
    Thanks for that.
     
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