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Question

A rectangular lamina of mass 6 kg, breadth 4 m and length 6 m is taken as shown in figure. If Ix and Iy are the moments of inertia of the rectangular lamina about x axis and y axis respectively, then the value Iy+Ix is


A
26 kg-m2
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B
10 kg-m2
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C
8 kg-m2
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D
18 kg-m2
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Solution

The correct option is A 26 kg-m2
Given, mass of rectangular lamina (M)=6 kg
Length of rectangular lamina (l)=6 m
Breadth of rectangular lamina (b)=4 m
Moment of inertia about x axis (Ix)=mb212=6(4)212=8 kg-m2
Moment of inertia about y axis (Iy)=ml212=6(6)212=18 kg-m2
Then,
Iy+Ix=26 kg-m2

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