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Theory of Machines Miscellaneous

  1. The circular disc shown in its plan view in the figure rotates in a plane parallel to the horizontal plane about the point O at a uniform angular velocity ω. Two other points A and B are located on the line OZ at distances rA and rB from O respectively.

    The acceleration of point B with respect to point A is a vector of magnitude
    1. 0
    2. ω (rB– rA) and direction same as the direction of motion of point B.
    3. ω (rB – rA) and direction opposite to be direction of motion of point B.
    4. ω 2 (rB – rA) and direction being from Z to O.
Correct Option: D

Acceleration of point B with respect to point A
αB/A = ω × υB/A
= ω × ω (rB - rA)
= ω2 (rB - rA)
and direction from Z to O.



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