Homework Statement
The invariance of physical laws to a coordinate change suggests a symmetry group structure. Can the operations of cordinate transformation be written as group operations? What is the group?
Homework Equations
The Attempt at a Solution
At the moment I do not...
Homework Statement
How do I know that vector is invariant to changes of coordinate systems if i only have the components of the vector and not the basis vectors?
Homework Equations
let the vector in reference frame 1 be ds and the same vector in the reference frame 2 be ds1
The...
Homework Statement
A hydraulic jack has the dimensions as shown in the figure to the left. A force F of 120 N is exerted on the handle of the jack. What load, F2, is being supported by the jack?
Homework Equations
P1=P2
P=F/A
The Attempt at a Solution
I know that P1=P2
And P2 =...
Aha, I see. This is first fluid question I had involving integration.
Thus, I integrated \intPo + pgh dh from 0 to H.
Getting P=PaH + pgH^2/2.
Thus
PA = HW(PaH + pgH^2/2).
Better now?
Homework Statement
Two tanks, one containing SAE Grade 30 oil (density of 890 kg/m3) and the other containing carbon tetrachloride (density of 1,590 kg/m3) , are connected through a differential manometer as shown in the figure. Calculate the pressure difference between chambers A and B...
Homework Statement
Pressure_2.jpg: http://www.imageupload.org/thumb/thumb_8609.jpg
A vertical dam wall has a width w. Water is filled to a height H behind the dam. Calculate the resultant force on the dam wall.
Homework Equations
P=F/A
P= Pa + p*g*h
The Attempt at a...
Homework Statement
The density of a solid sphere of radius R=10cm and mass M=15kg varies with distance from the center according to the equation p=po*e^(r/R). Determine the constant po.
Homework Equations
density= mass over volume.
The Attempt at a Solution
Change density to...
Homework Statement
A can of height h and cross-sectional Area Ao is initially full of water. A small hole of area A1<<Ao is cut in the bottom of the can. Find an expression for the time it takes all the water to drain from the Can. Hint: Call the water depth y use the continuity equation to...
Homework Statement
Fermat’s principle states that the path of a light ray between two points is such that the time to traverse that path is an extremum (either a minimum or a maximum) when compared with the times for nearby paths. Consider two points A and B on the same side of a reflecting...