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Question

Three particles of masses 2 kg, 3 kg and 5 kg are situated at the vertices of a right angled triangle ΔABC as shown in figure. Find the moment of inertia of the system about line PQ perpendicular to the BC and in the plane of ΔABC.

A
40 kg-m2
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B
80 kg-m2
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C
32 kg-m2
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D
48 kg-m2
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Solution

The correct option is B 80 kg-m2
Given:
m1=2 kg ; m2=3 kg ; m3=5 kg
r1=4 m ; r2=4 m ; r3=0 m

Total moment of inertia of system I=I1+I2+I3
=m1r21+m2r22+m3r23
=2×42+3×42+5×02
=80 kg-m2

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