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QNEET-2013-Ph-1509: NEET 2013 Physics - Class 11 NEET-2013-Ph-1509 Solution: A rod PQ of mass M and length L is hinged at end P. The rod is…

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 2gL\frac{2g}{L} 2g2L\frac{2g}{2L} 3g2L\frac{3g}{2L} gL\frac{g}{L}

Multiple Choice Options

  • A 2gL{{2g} \over L} L 2 g _
  • B 2g2L{{2g} \over {2L}} 2 L 2 g _
  • C 3g2L{{3g} \over {2L}} 2 L 3 g _
  • D gL{g \over L} L g _

Step-by-Step Verified Solution

When the string is cut, the rod will rotate about P. Let _ be initial angular acceleration of the rod.Then Torque, _ = I _ = M L 2 3 _      ...(i) (Moment of inertia of the rod about one end = M L 2 3 ) Also, _ = M g L 2 ...(ii) Equating (i) and (ii), we get M g L 2 = M L 2 3 _ _ _ = 3 g 2 L

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