fluids revision

Q1. A large open top container of negligible mass and uniform cross-sectional area A has a small hole of cross-sectional area A/100 in its side wall near the bottom. The container is kept on a smooth horizontal floor and contains a liquid of density ρ and mass m0. Assuming that the liquid starts flowing out horizontally through the hole at t=0, calculate:
(i) the acceleration of the container
(ii) the velocity when 75% of the liquid has drained out.

45 Answers

24
eureka123 ·

Q2 ka ans kya hai??

3
iitimcomin ·

sorry for delayed response i didnt see ur question before[2][2][2]

106
Asish Mahapatra ·

ok thanx pls try 2nd question.

3
iitimcomin ·

sorry yaar if m0 is given only and not h then u can rite AρH = M0 .....

so ull get height in terms of given variables for the second Q (of Q1)solution above!!!!!!!!!!!!!

106
Asish Mahapatra ·

ya i know..... plz try 2nd question..

3
iitimcomin ·

Q2 minimum ya maximum???????

3
iitimcomin ·

σgLΠR2 = mg + ρgLΠR2 ......

σLΠR2 - ρLΠR2= m ............

LΠR2(σ-ρ) = m ..........................

this is maximum value!!!!!!!!!!

u want minimum ya maximum?????

106
Asish Mahapatra ·

even i now maxm value.... but its asking minm.... [2]

3
iitimcomin ·

@eureka ur approach and ans. for accn. are rite but ur way dosnt justify that a is a constant with time which is req. for the second part ........... just my view [1]

3
iitimcomin ·

MINIMUM VALUE DEPENDS...........IF σ/ρ<=1 ITS 0!!!!!!!!!!!!!!

106
Asish Mahapatra ·

given in question that σ>ρ

1
vector ·

asish(1) balance d force of gravity n buoyant force (2)apply centre of gravity s y coordinate above centre of mass coordinate solving u ll get d ans i think
did u try it???/

106
Asish Mahapatra ·

koi to solve karo ise...

1
vector ·

@eureka ve u got d ans???

106
Asish Mahapatra ·

answer hai Î R2L(√ρσ-ρ)

33
Abhishek Priyam ·

din saw...
:P

koi nahi banaya.. :O

dekhte hain....

33
Abhishek Priyam ·



(in the fig right side it is.. mL
2(m+m1)

No for stable equilibrium P should be above A..

x/2≥ml/2(m+m1).. (i)

m is mass of rod.. m1 is mass of point mass..

also xAσg=(m+m1)g

x=(m+m1)/Aσ

from (i) for minimum m1..

x=ml/(m+m1)

(m+m1) = ml/(m+m1)
Aσ

(m+m1)=√mlAσ

m=Alρ

m1=lA(√ρσ-ρ)
A=Ï€R2

so m1=LÏ€R2(√ρσ-ρ).. ans

3
iitimcomin ·

nice 1 priyam!!!!!!!!![1]

33
Abhishek Priyam ·

[1][2] par pink kyun nahi hota mera.. :(

106
Asish Mahapatra ·

bhaiyya priyam ka solution pink kyon nahin hua?

33
Abhishek Priyam ·

sayad tumhara confirmation ka intzaar tha... :)

ab kar denge sayad..

24
eureka123 ·

becoz of ur reply...i am bookmarking it.................gr88 work priyam.....

33
Abhishek Priyam ·

;)

106
Asish Mahapatra ·

wat abt (ii) part? and Q2.?

106
Asish Mahapatra ·

find answer..... (s) both of them

106
Asish Mahapatra ·

Q2. A wooden stick of length L, radius R and density ρ has a small piece of metal of mass m (of negligible volume) attached to its one end. Find the minimum value for the mass m (in terms of given parameters) that would make the stick float vertically in equilibrium in a liquid of density σ (>ρ)

3
msp ·

asish does the final result for the part I is independent of Height of the tank

i am getting the acceleration as 2g

106
Asish Mahapatra ·

yes

1
Terminator ·

[1][1][1][1][1].........

106
Asish Mahapatra ·

sankara.. acceleration is given as g/50

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