System of Particles and Rotational Motion - Result Question 29

29. A rod PQ of mass M and length L is hinged at end P. The rod is kept horizontal by a massless string tied to point Q as shown in figure. When string is cut, the initial angular acceleration of the rod is

[2013]

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Answer:

Correct Answer: 29. (d)

Solution:

  1. (d)

Weight of the rod will produce the torque

τ=mgL2=Iα=mL23α[∵Irod =ML23]

Hence, angular acceleration, α=3g2L

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