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Question

The distance of the centre of mass of the T - shaped plate from O is nearly equal to

A
7 m
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B
2.7 m
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C
4 m
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D
1 m
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Solution

The correct option is B 2.7 m

Taking parts A and B as two bodies of same system,
m1=l×b×σ=8×2×σ=16σ
m2=l×b×σ=6×2×σ=12σ
Choosing O as the origin and x axis along the vertical line of the figure
x1=1 m,x2=2+3=5 m
XCM=m1x1+m2x2m1+m2
=16σ×1+12σ×516σ+12σ=197 m=2.714 m


Hence, the correct anser is option (b).

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