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-   -   Spring Constant A thin uniform rod has mass M = 0.5 kg and length L= 0.37 m. It ha (https://www.askmehelpdesk.com/showthread.php?t=537505)

  • Dec 25, 2010, 01:26 AM
    susus
    Spring Constant A thin uniform rod has mass M = 0.5 kg and length L= 0.37 m. It ha
    Spring Constant
    A thin uniform rod has mass M = 0.5 kg and length L= 0.37 m. It has a pivot at one end and is at rest on a compressed spring as shown in (A). The rod is released from an angle θ1= 55.0o, and moves through its horizontal position at (B) and up to (C) where it stops with θ2 = 111.0o, and then falls back down. Friction at the pivot is negligible. Calculate the speed of the CM at (B).

    (in m/s)

    this is what I tried..

    ranslational kinetic energy
    TKE = 0.5mV^2

    Angular kinetic energy
    AKE = 0.5Iω^2

    Where ω = Vsin(θ)/(L/2)

    At (C) the rod has gravitational kinetic energy (GPE)
    GPE = mgh

    where h = L(cos(θ2) - cos(θ3))/2

    ENERGY(B) = ENERGY(C)
    0.5mV^2 + 0.5Iω^2 = mgh
    0.5m(L(sin(θ2))^2/3 + 1)V^2 = 0.5mLg(cos(θ2) - cos(θ3))

    V^2 = Lg(cos(θ2) - cos(θ3))/(L(sin(θ2))^2/3 + 1)

    θ2 = 90
    θ3 = 111
    L = 0.37 m
    g = 9.81 m/s^2

    V^2 = 1.158
    V = 1.076 m/s


    but it's wrong :(:(:( I can not know why !

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