The Coen brothers O Brother, Where Art Thou? makes very good use of modern
technology to affect the overall portrayal and cinematography of the film. Made in
the 2000, the film was edited to give it a grainy quality. This was done to give the
films presen

Newton meter2 (698) A Pascal is a tiny unit of pressure a Newton
isnt very big, recall (one kilogram weighs roughly ten Newtons or 2.2
pounds) so a Pascal is the weight of a quarter pound spread out over a
square meter. Writing out pascal is a bit cumbers

opposite in their y-direction) and similarly for the force on the front
and back faces in the x-direction, which will always be true if the
pressure does not vary horizontally with variations in x or y. In the zdirection, however, force equilibrium requir

the large end can be neglected in Bernoullis Equation. In that case
the exit speed is the same as the speed of a mass dropped the same
distance: v =p2gH (695)where H is the depth of the hole relative to the
top surface of the uid in the tank.
8.1: General

omit the modier dynamical from the term viscosity in this course,
although there is actually another, equivalent measure of viscosity
called the kinematic viscosity, = /. The primary di erence is the
units has the SI units of pascal-seconds where has unit

Heres the general idea. If we consider a tiny (eventually di erentially
small) chunk of uid in force equilibrium, gravity will pull it down
and the only thing that can push it up is a pressure dierence between
the top and the bottom of the chunk. By requi

In b):
Tw + Fb mg = 0 Tw = mgFb = crownV gwaterV g = (crown
water)V g (749)
We know (we measured) the values of Ta and Tw, but we dont know V
or crown. We have two equations and two unknowns, and we would
like most of all to solve for crown. To do so, we

displays features that are the results of moderate interaction,
depending on the pressure and temperature. Water131 is, as noted, a
remarkable liquid. H2O is a polar molecules with a permanent dipole
moment, so water molecules are very strongly interactin

properties of and laws pertaining to static uids, uids that are in
static equilibrium.
Static Fluids
8.1.6: Pressure and Connement of Static Fluids
Fleft Fright
V
A
Fluid (density )
Confining box
Figure 102: A uid in static equilibrium conned to a sealed

Example 8.1.2: Variation of Oceanic Pressure with Depth
The pressure on the surface of the ocean is, approximately, by
denition, one atmosphere. Water is a highly incompressible uid with
w = 1000 kilograms per cubic meter142. g 10 meters/second2.
Thus: P(

used the pythagorean theorem and/or inspection of the gure to
determine r for each of the two forces. No torque due to N is
present, so Fm in this case is indeed the minimum force F at the
marginal point where rotation just starts to happen:
Fm =
mgpR2 (R

In the gure above, a force
~ F = 2 x + 1 y
Newtons is applied to a disk at the point
~r = 2 x2 y as shown. (That is, Fx = 2 N, Fy = 1 N, x = 2 m, y = 2
m). Find the total torque about a pivot at the origin. Dont forget that
torque is a vector, so specify

Farinelli 1
A Star Studies Approach
Moonrise Kingdom takes us away from the conventional structure and
way a love story is told. Instead of star-crossed lovers meeting in a big city, Wes
Anderson takes us to a minute island off the coast of New England wh

Spike Lee is known for his extensive use of realism and almost in-your-face
rawness when making his films. In Do the Right Thing, one of his earlier films, this
way of presentation is very pervasive through out the film. Instances of this that
immediately

The Artist.
I found this film to be a powerful commentary on not only the shifting in film styles
in the early 1900s, but also as an allegorical look at the way change happens in
almost any medium. We have the old represented by Jean Dujardins character,

Much of Do the Right Thing was shot very close up. By doing this, it gives viewers a
sense of their space being invaded. By Having Radio Raheem, with his music
blasting, yell for two slices of pizza with extra cheese, only to garner an equally
boisterous

http:/www.wikipedia.org/wiki/Eects of high altitude on humans.
This is the height where air pressure drops to where humans are at
extreme risk of dying if they climb without supplemental oxygen
support beyond this height hypoxia reduces ones ability to ma

between the two hinges, nd the total force (magnitude and direction)
exerted by each hinge.
Neglect the mass of the doorknob and assume that the center of mass
of the door is at W/2,H/2. The force directions drawn for you are NOT
likely to be correct or e

At one standard atmosphere, we can easily determine what a mercury
barometer at room temperature will read (the height H of its column
of mercury above the level of mercury in the reservoir):
P0 = 13534
kg m3 9.80665
m sec2 H = 101325Pa (719)
Note well, w

12r
Figure 99: A Force Couple is a pair of equal and opposite forces that
may or may not act along the line between the points where they are
applied to a rigid object. Force couples exert a torque that is
indenpedent of the pivot on an object and (of cou

which implies that the pressure at the left and right conning walls is
the same:
Pleft = Pright = P (707)
, and that this pressure describes the force exerted by the uid on the
walls and vice versa. Again, the exact same thing is true for the other
four s

We will ignore these in this course. Pressure is the force per unit
area exerted by a uid on its surroundings: P = F/A (687)
Its SI units are pascals where 1 pascal = 1 newton/meter squared.
Pressure is also measured in atmospheres (the pressure of air at

This principle is enormously important and ubiquitous. Buoyancy is
why boats oat, but rocks dont. It is why childrens helium-lled
balloons do odd things in accelerating cars. It exerts a subtle force on
everything submerged in the air, in water, in beer,

where P0 is the constant of integration for both integrals, and
practically speaking is the pressure in the uid at zero depth (wherever
that might be in the coordinate system chosen).
Example 8.1.1: Barometers
Mercury barometers were originally invented b

When they do, their momentum perpendicular to those walls is
reversed. Since many, many of these collisions occur each second,
there is a nearly continuous momentum transfer between the walls
and the gas and the gas and the walls. This transfer, per unit

(in a barometer or otherwise) is that you can easily spill it, and once
spilled it is fairly likely to sooner or later make its way into either
mercury vapor or methyl mercury, both of which are biologically
active and highly toxic. Liquid mercury itself

massless) sheet of Plexiglas placed on top. What is the vertical force
exerted by the Plexiglas on each leg when the mass is in the position
shown?
Week 7: Statics 331
Problem 7.
T
m
M
L
P
This problem will help you learn required concepts such as:
Force

P (726)
where M is the molar mass148 , the number of kilograms of the gas
per mole. Note well that this result is idealized thats why they call it
the Ideal Gas Law! and that no real gases are ideal for all
pressures and temperatures because sooner or lat

A
V
Figure 111: Fluid in uniform ow is transported down a pipe with a
constant cross-section at a constant speed v. From this we can easily
compute the ow, the volume per unit time that passes (through a
surface that cuts the pipe at) a point on the pipe.

with 10% silver would have decreased its density by around 5%. If the
mass of the crown was (say) a kilogram, the goldsmith would have
stolen 100 grams almost four ounces of pure gold at the cost of 100
grams of silver. Even if he stole twice that, the 9%