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Q.

A thin rod AB of mass m and length l is bent at right angles at its mid point C. Find the moment of inertia of the bent rod about the axis PQ as shown in the figure.

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a

16ml2

b

18ml2

c

112ml2

d

124ml2

answer is D.

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Detailed Solution

If ∠ACP=θo then ∠BCQ=π−π2θ=(π2−θ)Now IPQ=IAC+IBC=13(m2)(l2)2sin⁡2θ+13(m2)(l2)2sin⁡2(π2−θ)=124ml2(sin⁡2θ+cos⁡2θ)=124ml2

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A thin rod AB of mass m and length l is bent at right angles at its mid point C. Find the moment of inertia of the bent rod about the axis PQ as shown in the figure.