A uniform rod PQ of length I is hinged at one end p and is kept in horizontal position by a massless string tied to point Q as shown in fig. ( ). If the string is cut, theinitial angular acceleration of the rod will be
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a
(g /L)
b
(2g /3L)
c
(2g /L)
d
(3g /2L)
answer is D.
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Detailed Solution
When the string is cut, the weight M g of the rod acts at the centre. It produces a torque in the rod about P, given byτ=Mg(L/2) or Iα=Mg(L/2)∴ 13ML2α=MgL2α=3g2L