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Theory of Machines Miscellaneous

  1. A link OB is rotating with a constant angular velocity of 2 rad/s in counter clockwise direction and a block is sliding radially outward on it with an uniform velocity of 0.75 m/s with respect to the rod, as shown in the figure below. If OA = 1 m, the magnitude of the absolute acceleration of the block at location A in m/s² is
    1. 3
    2. 4
    3. 5
    4. 6
Correct Option: C

αt = 2vω = 2 × 0.75 × 2 = 3

αr =
= 4;
r

a = √t + a²r = √3² + 4²
a = 5 m/s²



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