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Q.

A sheet ABCD in the shape of a Rhombus has mass m and length of each side l as shown in figure. Then moment of inertia of the sheet about side AB is

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a

13ml2

b

14ml2

c

34ml2

d

16ml2

answer is B.

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Detailed Solution

M.I. of ABCD about AB=M.I. of the rectangle CDEF about EF + M.I. of the triangle ADE about AE - M.I. of triangle BCF about BF                                                             =M.I. of rectangle CDEF about EF             DE=AD sin600=3 l2     ∴ I=13mDE2 = 13m3 l22=14ml2
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