The distance of the centre of mass of the T - shaped plate from O is nearly equal to
A
7m
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B
2.7m
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C
4m
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D
1m
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Solution
The correct option is B2.7m
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=1m,x2=2+3=5m ∴XCM=m1x1+m2x2m1+m2 =16σ×1+12σ×516σ+12σ=197m=2.714 m