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Theory of Machines Miscellaneous

  1. A rigid link PQ of length 2 m rotates about the pinned end Q with a constant angular acceleration of 12 rad/s². When the angular velocity of the link is 4 rad/s, the magnitude of the resultant acceleration (in m/s²) of the end P is ___________.
    1. 41 m/s².
    2. 44 m/s².
    3. 40 m/s².
    4. 45 m/s².
Correct Option: C


at = Rα = 2 × 12 = 24
aR = ω²R = 16 × 2 = 32
a = √t + a²R
= √24² + 32² = 40 m/s².



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