Fluid Mechanics-2

JEE Main 2015 Coaching › Mechanics questions › Fluid Mechanics-2

A container (both side open is kept inverted as shown in the figure. Dimensions are given in the picture itself. The container is completely filled with a liquid. Find the minimum mass of the container so that it can stay on the surface. (Ignore Atmospheric pressure)

#Physics #Mechanics

UP 0 DOWN 0 1 4
Post on FacebookPost anonymously?

4 Answers

1133

Sourish Ghosh ·2013-01-31 04:46:33

Is it...
[Ï€r₁²h - Ï€h3(r₁² + r₂² + r₁r₂)]Ï ?

UP 0 DOWN 1
Akash Anand No, the answer is not that easy in this case.
Upvote·0· Reply ·2013-02-01 01:12:14
Post on FacebookPost anonymously?

43

Jeet Sen Sharma ·2013-01-31 05:04:37

sir the ques is not clear..... is it resting on a liq surface..?

UP 0 DOWN 3
Akash Anand no it is kept on the horizontal surface, full of liquid
Upvote·0· Reply ·2013-02-01 01:11:43
Sayan Sinha Is the surface liquid?
Upvote·0· Reply ·2013-02-01 09:34:08
Akash Anand Surface is normal horizontal plane,not water surface
Upvote·0· Reply ·2013-02-02 02:59:40
Post on FacebookPost anonymously?

1133

Sourish Ghosh ·2013-02-02 03:48:27

Correct?

UP 0 DOWN 2
Akash Anand I guess you have made some mistake. It will be better if you find the expression for the upward force in terms of sin and cos and the finally put the value(as angle is not a variable here). My answer is bit different from this.
Upvote·0· Reply ·2013-02-02 04:42:10
Jeet Sen Sharma here AB shld be equal to dx/sin(theta) thts y it came wrong
Upvote·0· Reply ·2013-02-03 08:47:35
Post on FacebookPost anonymously?

43

Jeet Sen Sharma ·2013-02-03 09:04:57

i have got the final answer as Ï€Ïgh (R_1²-R₂²)

correct..?

UP 0 DOWN 1
Jeet Sen Sharma wrong wrong sory......
Upvote·0· Reply ·2013-02-03 09:05:20
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