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3. A 885g mass to a verticle spring of force content 160N/m oscillates with a maximum velocity of .38m/s. Find (a) the period, (b) the amplitude, and (c) the maximum magnitude of acceleration.

  • physicsssss - ,

    ω=sqrt(k/m) = sqrt(160/0.885) =13.45 rad/s
    x=A•sinωt
    v=A•ω•cosωt
    v(max) = A•ω
    A= v(max)/ω =0.38/13.45 =0.028 m
    a= - A•ω²•sinωt
    a(max)= A•ω²=0.028•13.45²=5.065 m/s²

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