Dark knight gives a rocking sum.

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A uniform rod of mass m and length l rotates in a horizontal plane with an angular velocity Ï‰ about a vertical axis passing through one end . The tension in the rod at a distance x from the axis is ------------------.

ans : 12m Ï‰² l (1 - x²l²)

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4 Answers

akari ·2009-12-30 09:34:11

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Bicchuram Aveek ·2009-12-30 09:36:11

MAN !!!!! U've completely killed it !!!

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Philip Calvert ·2009-12-30 09:43:34

The tension over there will supply the centripetal for the rest of the rod..

mass of rest of the rod = ml(l-x)

now the tension will be ml(l-x).w² (l+x2)

(l+x)/2 is distance of the CM of the rest of the rod from the axis...

this term can be verified by integrating b/w limits x to l as well

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Philip Calvert ·2009-12-30 09:44:36

@akari well done
i din see coz i was typing at that time ....sorry

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√ √ || {} [] () → ~ ^ x x x → → ln log lg lim lim cos sin tan cot arcsin arccos arctan

∫ ∫ ∫ ∫ ∫ ∬ ∬ ∬ ∬ ∬ ∭ ∭ ∭ ∭ ∭ ⨌ ⨌ ⨌ ⨌ ⨌

∑ ∑ ∑ ∑ ∑ ∮ ∮ ∮ ∮ ∮ ∏ ∏ ∏ ∏ ∏ ∐ ∐ ∐ ∐ ∐

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° ∂ ∞ α β γ δ θ λ μ ν ξ π ρ σ φ ω ε ƒ κ τ υ Γ Δ Λ Σ Π Ω

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Dark knight gives a rocking sum.

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