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Theory of Machines Miscellaneous

Direction: An instantaneous configuration of a four-bar mechanism, whose plane is horizontal, is shown in the figure below. At this instant, the angular velocity and angular acceleration of link O2A are ω = 8 rad/s and α = 0, respectively, and the driving torque (τ) is zero. The link O2A is balanced so that its centre of mass falls at O2.

  1. At the instant considered, what is the magnitude of the angular velocity of O4B?
    1. 1 rad/s
    2. 3 rad/s
    3. 8 rad/s
    4. 64/3 rad/s
Correct Option: B

ω4
=
I12I24
=
144
ω2I14I24240 + 144

ω4
=
144
8384

∴  ω4 =
144
× 8 = 3 rad/s
384



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