Dark knight gives a rocking sum.

BITSAT 2015 Coaching › Mechanics questions › Dark knight gives a rocking sum.

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)

#Physics #Mechanics

UP 0 DOWN 0 0 4
Post on FacebookPost anonymously?

4 Answers

akari ·2009-12-30 09:34:11

UP 0 DOWN 0
Post on FacebookPost anonymously?

Bicchuram Aveek ·2009-12-30 09:36:11

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

UP 0 DOWN 0
Post on FacebookPost anonymously?

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

UP 0 DOWN 0
Post on FacebookPost anonymously?

Philip Calvert ·2009-12-30 09:44:36

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

UP 0 DOWN 0
Post on FacebookPost anonymously?

Your Answer

Basic Integral Calculus Operators Symbols Matrix Cases

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

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

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

+ - × ÷ ± ∓ = ∪ ∩ ≠ ∼ ≈ ∅ ∀ ∃ ∈ ∋ ∝ ≤ ≥ ≃ ≅ ≡ < > ≪ ≫ ⊂ ∉ ⊃ ⊆ ⊇ ⇒ ⇐ ⇔ ⇒ ⇐ ⇔ ⇑ ⇓ ⇕ → ← ↔ → ← ↔ ↑ ↓ ↕ ↖ ↗ ↘ ↙ ↪ ↩ ⇀ ↼ ⇁ ↽

° ∂ ∞ 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

Close [X]

Dark knight gives a rocking sum.

4 Answers

Your Answer

Add Image

Similar Questions