Special Note , Spring 2008 , Orbital period of a satellite

with G = K = 6.672e-11 [m³/(kg s²)] Universal grav. constant
m_e = 5.9742e+24 [kg] Mass of earth

End of note

• acquire a working knowledge of vector calculus and to apply it to the description of kinetic and kinematic quantities such as forces, moments, position, velocity, and acceleration.
• apply calculus to correctly relate position, velocity, and acceleration to one another.
• create free body diagrams (FBD) of particles and rigid bodies, i.e., to graphically display the relevant system of forces and moments acting on these bodies at a particular and/or at a generic instant during their motion. In general, only motions in 2D will be considered.
• synthesize the information contained in the FBD and MAD to derive the equations of motion for the particular system at hand.
• create the kinetic or mass-acceleration diagram (MAD) of particles and rigid bodies, i.e., to graphically display the acceleration of the center of mass of these bodies. In general, only motions in 2D will be considered.
• apply elementary algebra and calculus to the solution of the equations of motion. Except for a few elementary cases, such as motions with constant acceleration, the solution process in question does not include the solution of initial value problems.
• apply the work-energy principle to relate the energy of a mechanical system to its spatial configuration variables (i.e., position variables). In general, only motions in 2D will be considered.
• apply the impulse-momentum principle to relate the momentum of a mechanical system to the system of forces applied to it.

• Final Exam : Spring 2007 : TakeHome, due Wednesday, May 9, 11:55 pm , my office
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Material to be covered, approximate Schedule,
and practice Problems

Lecture	Topic	Text	Recommended Problems
1	Introductory Topics	11.1-11.4	None
2	Kinematics : Rectangular Coordinates	12.1-12.2	12.3 , 12.8 , 12.16, 12.19
3	FMA Method : Rectilinear Motion	12.3-12.5	12.32, 12.40, 12.46, 12.51
4	FMA Method : Superposition of Rectilinear	12.6	12.53, 12.56, 12.60, 12.62
5	Review and in-class Problems		(12.108), (12.112), (12.115), (12.120)
6	Kinematics : Path Coordinates	13.1-13.2	13.2 , 13.9 , 13.13 , 13.17, 13.20
7	Kinematics : Polar/cylindrical Coordinates	13.3	13.26, 13.35, 13.37, 13.41
8	FMA Method: Path Coordinates	13.4	13.51, 13.53, 13.56
9	FMA Method: Polar/cylindrical Coordinates	13.4	13.58, 13.62, 13.64, 13.66
10	Review and in-class Problems		(13.78), (13.81), (13.85), (13.86)
11	Exam I
12	Work of a Force	14.1-14.2	14.2, 14.6, 14.7
13	Principle of Work and Kinetic Energy	14.3	14.11, 14.18, 14.22, 14.24
14	Conservation of Mechanical Energy	14.4	14.28, 14.33, 14.40, 14.45
15	Power and Efficiency	14.5	14.51, 14.54, 14.55, 14.60
16	Principle of Impulse and Momentum	14.6	14.64, 14,68, 14.74, 14.76
17	Principle of Angular Impulse and Momentum	14.7	14.82, 14.84, 14.89, 14.92
18	Review and in-class Problems		(14.117), (14.118), (14.120), (14.127)
22	Kinematics of Relative and Constrained Motion	15.1-15.3	15.2, 15.6, 15.11, 15.21, 15.22
23	Equations of Motion of the Mass Center	15.4	15.26, 15.35, 15.38, 15.44
29	Exam II
24	Work-Energy, System of Particles	15.5	15.55 , 15.57 , 15.59
25	Impuls-Momentum, System of Particles	15.6-15.7	15.62, 15.70, 15.72, 15.76, 15.80
26	Impulsive Motion	15.8-15.9	15.88, 15.90, 15.91, 15.98
27	Elastic/plastic Impact	15.10	15.104, 15.108, 15.112, 15.114
28	Review and in-class Problems		15.136, 15.140, 15.144, 15.146
30	Kinematics of Rigid Bodies	16.1-16.3	16.2, 16.6, 16.8, 16.14
31-32	Method of Relative Velocity	16.4	16.18, 16.22, 16.32, 16.35
33-34	Method of Relative Acceleration	16.7	16.57, 16.60, 16.70
35	Mass Moment of Inertia, Angular Momentum	17.1-17.2	17.2, 17.4, 17.6, 17.13
37-40	Equations of Plane Motion	17.4-17.5	17.18, 17.26, 17.30, 17.52, 17.58, 17.64
41	Review and in-class Problems		17.93, 17.102, 17.98, 17.100
42	Work-Energy Methods	18.1-18.4	18.2, 18.10, 18.28, 18.44
43	Impulse-Momentum Methods	18.5-18.6	18.58, 18.69, 18.78, 18.81
44	Impact Problems	18.7	18.83, 18.88, 18.93
45	Review and in-class Problems		18.84, 18.86, 18.92, 18.94

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