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A rectangular beam which is supported at its two ends and loaded in the middle with weight W sags by an amount delta such that delta=(Wl^(3))/(4Yd^(3)x), where l, d and Y represent length, depth and elasticity respectively. Guess the unknown factor using dimensional considerations : |
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Answer» BREADTH `:. x=(Wl^(3))/(4Yd^(3)delta)` `=([MLT^(-2)][L^(3)][L^(2)])/([MLT^(-2)][L^(3)][L])=[L].` Hence `(a)` is the CORRECT. |
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