Q.

ABC is an equilateral triangular sheet of mass m and side length l. Find its moment of inertia about an axis passing through the centre of mass of the sheet and parallel to the side BC.

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a

ml224

b

ml212

c

ml28

d

ml248

answer is A.

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Detailed Solution

Altitude of the triangle h=l sin60o=3l2∴OM=h3=l23Now, IPQ=IBC-m x OM2=16m3l22-ml232=124ml2
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ABC is an equilateral triangular sheet of mass m and side length l. Find its moment of inertia about an axis passing through the centre of mass of the sheet and parallel to the side BC.