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Mechanical Principles Dynamics of Rotating Systems

  1. May 31, 2017 #1
    1. For the mechanism shown in FIGURE 1 determine for the angle
    θ = 45°:

    (i) the velocity of the piston relative to the fixed point O (VBO)
    (ii) the angular velocity of AB about point A (i.e. ωAB)
    (iii) the acceleration of point B relative to A (aBA).

    (b) Determine the value of the angle θ (measured from vertical) when:
    (i) the velocity of point B = 0
    (ii) the angular velocity of link AB a maximum.

    (c) What is the maximum angular velocity of link AB?
    upload_2017-5-31_15-50-21.png



    2. Relevant equations
    Vao = Loa x ωoa

    3. The attempt at a solution
    Vao = Loa x ωoa = 0.005 x 10pi 0.1570

    velocity triangle cosθ = Vbo/Vao

    VBo =cos45 x Nao = 0.707 x 1.5708 = 1.1107 m/s^-1


    I just have no idea where to start or what numbers to use where
     

    Attached Files:

  2. jcsd
  3. May 31, 2017 #2
    Try to define de displacement of point B as a function of de alngle theta. You can define vectors from origin O to help you.
     
  4. May 31, 2017 #3

    haruspex

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    That would certainly work, but is unnecessarily complicated for the specific questions asked.
    @mally baringon, if you resolve the instantaneous velocities of A and B into components along the rod and normal to the rod, what relationship must exist between them?
     
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