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A rectangular lamina of width b and depth d is submerged vertically in water, such that the upper edge of the lamina is at a depth h from the free surface. What will be the expression for the depth of the centroid (G)?
  • a)
    h
  • b)
    h + d
  • c)
    h + d ⁄ 2
  • d)
    h + d / 2
Correct answer is option 'C'. Can you explain this answer?
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A rectangular lamina of width b and depth d is submerged vertically in...
Depth of the Centroid (G) Calculation:
1. Understanding the Situation:
- The rectangular lamina is submerged vertically in water.
- The upper edge of the lamina is at a depth h from the free surface.
- The width of the lamina is b and the depth is d.
2. Location of the Centroid (G):
- The centroid (G) of the lamina is located at a distance h/2 from the free surface.
- This is because the centroid of a submerged area lies at a distance of half of the depth from the free surface.
3. Calculating the Depth of the Centroid (G):
- Given that the upper edge of the lamina is at a depth h and the total depth of the lamina is d.
- Therefore, the distance from the centroid (G) to the upper edge of the lamina is d - h.
- As mentioned earlier, the centroid is located at a distance of h/2 from the free surface.
- Hence, the depth of the centroid (G) from the free surface would be: h/2 + (d - h) = h/2 + d - h = h + d/2.
Therefore, the expression for the depth of the centroid (G) is h + d/2, which is option C.
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A rectangular lamina of width b and depth d is submerged vertically in...
The centroid of the lamina will be located at it’s centre. ( d ⁄ 2). Thus, the depth of the centre of pressure will be h + d ⁄ 2.
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A rectangular lamina of width b and depth d is submerged vertically in water, such that the upper edge of the lamina is at a depth h from the free surface. What will be the expression for the depth of the centroid (G)?a)hb)h + dc)h + d ⁄ 2d)h + d / 2Correct answer is option 'C'. Can you explain this answer?
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