Physics

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Two blocks rest on two frictionless ramps. They are connected at the apex of each ramp by a string and pulley. The angle of ramp A with the ground is 45 degrees. Mass of Block B (on Ramp B) is 2 times that of Block A. What does the angle of Ramp B with the ground have to be in order for the blocks to remain at equilibrium?

  • Physics -

    m2=2•m1
    m1•g•sinα =T
    m2•g•sinβ=T
    m1•g•sinα= m2•g•sinβ
    m1• sinα=2•m1• sinβ
    sinβ=sinα/2=sin45/2=0.354
    β=arcsin0.354=20.7°

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