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Questions  

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 

a
13ml2
b
14ml2
c
34ml2
d
16ml2

detailed solution

Correct option is B

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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