Q.

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
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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