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Archives
This page archives contents of previous years.
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2003-2004: (Instructors: Usama al-Binni and Hanan
Saadah)
Tentative Outline
Lab Sheets
Assignments
Exams
2001-2002: (Instructor: Prof. Dia-Eddin Arafah)
Tentative Outline
Lab Sheets
Exams
Assignment #1:
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Charge is continuously distributed radially within a
sphere of radius R. Construct a Mathematica function that takes as
input the radius of the spherical distribution, the charge density, and the
radial distance from the centre of the sphere, and produces as output the a
plot of the electric field versus radial distance.
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Construct a Mathematica function that takes a single input,
and tests whether that input is a negative, zero, or positive number, so that
its output informs which type of number this is. (Hint: Consider using a
compound If[] statement, or the
function Which[]).
For both parts of the assignment, extra credit will be given
for those who incorporate error traps that would filter the input from possible
causes of unsuccessful exit.
Refer to example 2.8 from J. Marion and S. Thornton:
Classical Dynamics, 3rd edition, pp. 63-65, and figure 2-3 on p. 55 from the
same reference.
The text of that example (with some modification) states:
Use the data shown in Figure 2-3 to calculate the
trajectory for an actual projectile. Assume a muzzle velocity of 600 m/s, gun
elevation of 45 degrees, and a projectile mass of 30 kg. Plot the height y
versus the horizontal distance x. Also plot y, dx/dt, amd dy/dt versus
time both with and without air resistance. Include only the air resistance and
gravity, and ignore other possible forces like the lift. Find the range,
maximum height, and the time of flight for the projectile in both cases
The following file is a digitization of the data in figure
2-3, which describes the air resistance force as a function of projectile
velocity, i.e. each entry is an ordered pair of (v,F(v)),
you will need it to construct an interpolation function giving the value of
force as a function of velocity:
Download data
file: Air resistance as function velocity.
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