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i have attached the working in the picture uploaded above

can you show me where is the r for the FB to generate restoring moment and overturning moment in the diagram ? so that i can understand better what you said

i have redo the question , i got Acos2x + Bsin2x +0.25x^2 + 3/2 , but the ans given is Acos2x + Bsin2x +0.25x^2 +3/8

then , what is the correct yp ? i choose my initial yp = cX^2 + Dx + E , nut i found that the term E is similar to the A , so i multiply the initial yp with x , to get my new yp

Homework Statement i gt stucked here ... how to continue ? what's wrong with my working ? i found 2 values for D , whcih is wrong Homework Equations The Attempt at a Solution

Homework Statement when the ship is tilted more , the ship will become inclined more ( bigger portion of right hand side part of the ship will be submerged in water ) . this caused the center of buoyancy to be located more to the right , this cause the B is very far from the G . The ship will...

Homework Statement why the floating body still stable when G ( center of gravity ) is above the B ( center of buoyancy)? Homework Equations The Attempt at a Solution in my opinion , the statement is worng , because when G is above B , G has the tendency to move downward , causing the object...

isnt that the the resultant force on blade and forecs of steam of water are of same magnitude and same direction ?

the horizontal component of force should be -1.272 N + 2.54 = 1.27N N to the right, whereas the direction and magnitude of vertical force is the same ? then , the direction of resultant of force should be upwards just like the diagram below?

z represent the difference in height between 2 points

do u mean since the width is unknown and constant through out the whole object , so we can take it out and leave the ans (Fx) is Force per unit width>

how to relate it to the P1 ? why not P1 = P2 , which is ρg(h1 +h2 +h3) ?

ok , i can understand the red part of the equation (9810)(2.1)(4.2)- 9810(0.35)(0.7) -Fx = 1000(5.88)(8.4-1.401) , but 1000(5.88)(8.4-1.401) is force , am i right ? it's not force per unit width... they are not having the same unit...how cvan they be equqal to each other?

Homework Statement why the resultant force on blade is acted downwards (toward A)? why shouldn't it be slanted upwards ? since the horizontal component of the force acted 2.12kN to the left , and 0.735kN upwards , we would get the resultant force acting slanted upwards , right ? Homework...

it should be P/ y + z + (v^2) /.2g , where v = velocity , y = ρg

P +z + (v^2) /.2g , wher v = velocity

Homework Statement what is the 2.1 and 0.35 refers to in the equation of (9810)(2.1)(4.2)- 9810(0.35)(0.7) -Fx = 1000(5.88)(8.4-1.401) ?? is it the width ? but , the width is not given ? Homework Equations The Attempt at a Solution

maybe there are some points that i have left out , can you point out please?

can you explain how to apply the Beroulli's pronciple so that the P1 = pg(h1 +h2) ? but not P1 = pg(h1 +h2+h3) ?

can you explain further?

Homework Statement isn't that p1 and [2 at the same point ? why shouldn't the P1 = P2 , which is ρg(h1 +h2 +h3) ? Homework Equations The Attempt at a Solution

Homework Statement why the author consider the coefficient of discharge as the z here ? what is exactly coefficient of discharge? Homework Equations The Attempt at a Solution

Homework Statement why Fr(Lp) = FB / 2 ? can someone help to explain ? Homework Equations The Attempt at a Solution shouldn't it be 2FB = Fr(Lp) ? since FB act on 2 sides of the gate ...[/B]

according to 3-18 , i would get P (yc^2) A instead of P (yc) A ... am i correct ?

Homework Statement how can the average density of the body equal to the density of fluid(2nd photo) ? the object is not completely submerged in the liquid , so the density of object should be lower , right ? Homework Equations The Attempt at a Solution

so , which is correct ? kinematic viscosity or dynamic viscosity depends on pressure?

Homework Statement why the y ſ P dA will equal to P yc A ? why not P (yc^2) A ? since yc = ſ y dA / A Homework Equations The Attempt at a Solution

Homework Statement I was told that kinematic viscosity depends on pressure , but not dynamic viscosity Homework Equations The Attempt at a Solution in my opinion, the dynamic viscosity depends on pressure , since it's formula is μ = tau / (du/dy) , where tau is the stress . and stress can...

Homework Statement why the restoring moment in diagram 3-48 must be in anti-clockwise direction ? can't be in clockwise direction ? pls refer to the last photo ( i sketched it) , if the B' is located on the left of the G , teh restoring moment is clockwise, right ? Homework Equations The...

Homework Statement why the formula of weight of fluid block is given by the formula of ρg[ (R^2) - pi(R^2) ] 1? what does the 1m mean here ? shouldn't it = ρg (pi) (R^2) h ? 2. Homework Equations The Attempt at a Solution

Homework Statement i don't understand the statement 1 and 2 , can someone help to explain ? for 1 , does the author mean Fh= Fv ?? for 2 , does the author mean Fv = Fh + W ? but in statement 1 , Fh already = Fv Homework Equations The Attempt at a Solution

why ? i still can't understand

how can The volume of the pressure prism is equal to the magnitude of the force exerted by a hydrostatic pressure P applied over an area A ?

when R is big relative to l , we can only say that the two circle 'combined together' , right ? how can the curvature be neglected?

what do you mean ? can you explain further?

Homework Statement why the formula of volume is given by integral of P and dA , the integral of P and dA would yield Force , right ? Homework Equations The Attempt at a Solution

i am asking about , if no wall is present , how can it not eliminate stress?

i think it is wrong

i don't agree with the formula mass/ (length x area)

Homework Statement why the alternative formula of viscosity not = (mass x length ) / ( time x area) ? for force x time , we would get (mass x length ) / time ... Homework Equations The Attempt at a Solution

can you explain in detail by giving analogy (is arrow represent ℓ ) ?

Homework Statement why the fluid need the wall to eliminate the shear stress? Homework Equations The Attempt at a Solution is it because if there is no wall to support teh fluid , the fluid would move continously , resulting the shear stress act on water?

Homework Statement why when ℓ / R ≪ 1 , the curvature effect can be neglected ?? Homework Equations The Attempt at a Solution no matter how small or how big is R , it is strill considered as curvature , right ??

i have one more question here . I was also told that the pressure at the concave side of the bubbles is higher ... why is it so ? is it because of the circumference of the pressure at the concave side is higher?

Homework Statement why the force of bubble is given by the formula of 2(2 pi R ) σs ? why not (2 pi R ) σs + (2 pi R+ ΔR) σs ? Since the radius of th outer circumfernece and inner circumference are the different ? Homework Equations The Attempt at a Solution

ok , so is my statement in post #5 correct ?

what do yo you mean ? we want to find the resultant force , right ? So , the correct approach would be 12cos60 + 12 , right ? since they are both directed to the right

so , the notes is wrong ? the velocity should add up ?

I want to ask A and the inlet first

velocity along the x direction . (circled part)