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Upon completion of the course, the student should be able to:
1. State the S1 units for length, time & mass, identify the powers of
10 associated with the most common metric prefixes, & change a
quantity from one set of units to another.
2. Explain the difference between scalar & vector quantities & give
examples of each.
3. Use vector addition methods to determine the sum of two or more
vectors, & use the vector dot product & vector cross product where
applicable.
4. Define the concepts of displacement, velocity, & acceleration, &
give one of the three as a function of time, differentiate or
integrate to determine the other two.
5. Use graphs of displacement, velocity, & acceleration versus time to
determine instantaneous & average values of these quantities.
6. Solve problems involving uniformly accelerated motion, including
projectile motion.
7. Explain the concepts of tangential & radial acceleration in
curvilinear motion & use the concepts in problem solving.
8. Define the concepts of force & mass, explain the difference between
weight & mass, & give the units for force & weight.
9. State Newton's Laws of motion & 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, & power, & give units in which each is expressed.
13. Distinguish between conservative & nonconservative forces; find
potential energy functions/forces for conservative forces; use
potential energy functions for conservative forces to locate
equilibrium positions & determine the type of equilibrium.
14. State the work-energy theorem/principle of conservation of energy,
& use the theorem/principle in problem solving (including
translational & rotational motion).
15. Determine the location of the center of mass of a system of particles
& of a continuous body; calculate the velocity & acceleration of the
center of mass of a system of particles.
16. Define linear momentum & impulse; give units for each; state the
principle of conservation of linear momentum; & solve problems
involving momentum, impulse & conservation of linear momentum.
17. Describe what occurs in an elastic, partially elastic & perfectly
inelastic collision; solve problems involving collisions in one &
two dimensions.
18. Define angular displacement, angular velocity & angular acceleration;
give units in which they are expressed; & solve problems involving
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 & the parallel
axis theorem.
20. Define torque & angular momentum; determine directions of torque,
angular momentum, angular velocity & angular acceleration when
considered as vectors; use torque & angular momentum vectors to
determine the direction of precession of gyroscopes & tops.
21. State the principle of conservation of angular momentum; give
examples illustrating the principle; & use the principle in problem
solving.
22. Solve problems involving motion of rolling bodies both without &
with slipping.
23. Describe the conditions necessary for static equilibrium & solve
problems involving static equilibrium of a rigid body.
Numbers 24 - 27 are optional as time allows.
24. Define pressure, give units for pressure, explain the difference
between gauge pressure & 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, & use
it to solve problems.
26. Define buoyant force, state Archimedes' principle, & use it in
problem solving.
27. Give examples which illustrate the application of Bernoulli's
equation & use it & the equation of continuity in problems 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.
