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Upon completion of the course, the student should be able to:
1. State the Systems International (SI) units for length, time and mass,
identify the powers of ten associated with the most common metric
prefixes, and change a quantity from one set of units to another.
2. Explain the difference between scalar and vector quantities and give
examples of each.
3. Use vector addition methods to determine the sum of two or more
vectors, and use the vector dot product and vector cross product
where applicable.
4. Define the concepts of displacement, velocity, and acceleration, and
give one of the three as a function of time, differentiate or
integrate to determine the other two.
5. Use graphs of displacement, velocity, and acceleration versus time to
determine instantaneous and average values of these quantities.
6. Solve problems involving uniformly accelerated motion, including
projectile motion.
7. Explain the concepts of tangential and radial acceleration in
curvilinear motion and use the concepts in problem solving.
8. Define the concepts of force and mass, explain the difference between
weight and mass, and give the units for force and weight.
9. State Newton's Laws of motion and give examples illustrating each.
10. Use Newton's second law to solve problems involving the acceleration
of masses with one or more forces (including frictional forces)
acting upon them.
11. Explain what a centripetal force is; give examples of centripetal
forces; solve problems involving motion in a circular path.
12. Define the concepts of work, energy, kinetic energy, potential
energy, and power, and give units in which each is expressed.
13. Distinguish between conservative and nonconservative forces; find
potential energy functions/forces for conservative forces; use
potential energy functions for conservative forces to locate
equilibrium positions and determine the type of equilibrium.
14. State the work-energy theorem/principle of conservation of energy,
and use the theorem/principle in problem solving (including
translational and rotational motion).
15. Determine the location of the center of mass of a system of particles
and of a continuous body; calculate the velocity and acceleration of
the center of mass of a system of particles.
16. Define linear momentum and impulse; give units for each; state the
principle of conservation of linear momentum; and solve problems
involving momentum, impulse and conservation of linear momentum.
17. Describe what occurs in an elastic, partially elastic and perfectly
inelastic collision; solve problems involving collisions in one and
two dimensions.
18. Define angular displacement, angular velocity and angular
acceleration; give units in which they are expressed; and solve
uniformly accelerated angular motion.
19. Define the concept of moment of inertia; calculate the moment of
inertia about a given axis for a system of particles; calculate the
moment of inertia for solid objects using integration and parallel
axis theorem.
20. Define torque and angular momentum; determine directions of torque,
angular momentum, angular velocity and angular acceleration when
considered as vectors; use torque and angular momentum vectors to
determine the direction of precession of gyroscopes and tops.
21. State the principle of conservation of angular momentum; give
examples illustrating the principle; and use the principle in problem
solving.
22. Solve problems involving motion of rolling bodies both without and
with slipping.
23. Describe the conditions necessary for static equilibrium and solve
problems involving static equilibrium of a rigid body.
Numbers 24 - 27 (fluid mechanics) are optional as time allows:
24. Define pressure, give units for pressure, explain the difference
between gauge pressure and absolute pressure; calculate the pressure
at a given depth in an incompressible fluid; calculate the force
on a surface over which the pressure is not constant.
25. State Pascal's principle, give examples of its application, and use
it to solve problems.
26. Define buoyant force, state Archimedes' principle, and use it in
problem solving.
27. Give examples which illustrate the application of Bernoulli's
equation and use it and the equation of continuity in problem solving
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Topics covered include:
1. Measurement and units.
2. Vectors.
3. Motion in one and two dimensions.
4. Newton's Laws of motion.
5. Work and energy.
6. Conservation of energy.
7. Linear momentum and collisions.
8. Rotational motion.
9. Torque and angular momentum.
10. Equilibrium of rigid bodies.
11. Fluid mechanics. (Optional as time allows.)
Lab work includes:
1. Using calipers, stop watches, meter sticks, etc. to make
measurements on mechanical systems.
2. Using computers and motion detectors, force probes, etc. to
make measurements on mechanical systems.
3. Using computers and motion detectors, force probes, etc. to
develop concepts of force and motion.
4. Using spreadsheets to record data and to calculate
experimental results.
5. Constructing graphs using computer graphing programs.
6. Error analysis.
7. Numerical and graphical analysis of data.
