Topics Covered — Fall 2006
The topic covered in the course this semester are listed below, along with the
most closely related sections of the text.
Motion in One Dimension
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Kinematic variables in three dimensions: position, velocity, and acceleration
(Sec. 2–3)
-
One-dimensional kinematics: graphing position, velocity, acceleration versus
time
(Sec. 2–4)
-
Motion with constant acceleration
(Sec.2–5)
-
Freely-falling bodies
(Sec.2–6)
-
Mathematical technique: Taylor series.
Force and Newton's Laws
-
Newton's laws of motion
(material from Secs. 3–2 through 3–6)
-
Technique for analyzing problems using Newton's laws
(Sec. 3–5)
-
Application of Newton's laws in one dimension
(Sec. 3–8)
-
Reference frames and relative motion, the Galilean transformation between
inertial frames
(Secs. 3–2 and 4–6)
Motion in Two and Three Dimensions
-
Projectile motion
(Secs. 4–1 and 4–3, plus additional material on expressing
y as a function of x)
-
Drag forces: one-dimensional motion and terminal velocity, qualitative
discussion of projectile motion with air resitstance
(Sec. 4–4)
-
Circular motion: radial and tangential components of the velocity and
acceleration
(lecture notes)
-
Uniform circular motion
(Sec. 4–5)
Relativistic Kinematics
-
The postulates of special relativity
(Sec. 20–2)
-
Time dilation
(Sec. 20–3)
-
Length contraction
(Sec. 20–3)
-
The Lorentz transformation
(Secs. 20–4, 20–5, and 20–7 excluding the Doppler effect)
-
The Lorentz velocity transformation
(Sec. 20–6)
Applications of Newton's Laws
-
Tension in strings
(Sec. 5–2)
-
Contact forces: normal forces, static and kinetic friction forces,
analysis of rigid bodies in contact
(Secs. 5–2 and 5–3)
-
Dynamics of circular motion: the conical pendulum, the "rotor" amusement-park
ride, the banked curve
(Sec.5–4)
Momentum
-
Linear momentum
(Sec. 6–2)
-
Impulse and change in momentum
(Sec. 6–3)
-
Conservation of momentum
(Sec. 6–4)
-
Two-body collisions: coefficient of restitution, types of collision
(Sec. 6–5 and lecture notes)
-
Relativistic momentum: questions will be restricted to use of
p = γv m v.
(Sec. 20–8)
Systems of Particles
-
Center of mass motion
(Sec. 7–3)
-
Center of mass of solid objects: calculation via (a) volume integration,
(b) symmetry arguments, (c) decomposition, and (d) the "negative-mass" trick
(Sec. 7–4)
-
Conservation of linear momentum
(Sec. 7–5)
-
Systems of variable mass
(Sec. 7–6) WILL NOT APPEAR ON EXAM 2
Rotational Kinematics
-
Rotational variables
(Sec. 8–2)
-
Rotational quantities as vectors
(Sec. 8–3)
-
Constant angular acceleration
(Sec.8–4)
-
Relationships between linear and angular variables
(Sec.8–5)
-
Vector relationships between linear and angular variables
(Sec.8–6, excluding "The vectors ω and
α")
Rotational Dynamics
-
Torque
(Sec. 9–1)
-
Newton's second law for rotation
(Sec. 9–2)
-
Rotational inertia and the parallel-axis theorem
(Sec. 9–2)
-
Rotational inertia of solid bodies
(Sec. 9–3)
-
Torque due to gravity
(Sec. 9–4, excluding "Center of Mass and Center of Gravity")
-
Equilibrium applications
(Sec. 9–5)
-
Nonequilibrium applications: stationary rotation axis
(Sec. 9–6)
-
Combined rotation and translation, rolling without slipping
(Sec. 9–7)
Angular Momentum
-
Angular momentum of a particle
(Sec. 10–1)
-
Angular momentum of a system of particles
(Sec. 10–2)
-
Angular momentum and angular velocity
(Sec. 10–3, excluding "The Torque of a Particle Moving in a
Circular Path")
-
Conservation of angular momentum
(Sec. 10–4)
Work and Kinetic Energy
-
Work done by a constant force
(Sec. 11–2)
-
Power
(Sec. 11–3)
-
Work done by a variable force
(Secs. 11–4, 11–5)
-
Kinetic energy and the work-energy theorem
(Sec. 11–6)
-
Rotational work and kinetic energy
(Secs. 11–7, 12–4)
-
Kinetic energy in collisions
(handled differently in Sec. 11–8)
Potential Energy
-
Conservative forces
(Sec. 12–1)
-
Potential energy
(Sec. 12–2)
-
Conservation of mechanical energy
(Sec. 12–3)
-
Energy conservation in rotational motion
(Sec. 12–4)
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One-dimensional systems: The complete solution
(Sec. 12–5)
Conservation of Energy
-
Internal energy
(Sec. 13–2)
-
Frictional work
(Sec. 13–3)
-
Conservation of energy
(Sec.13–4)
-
Relativistic energy
(Sec. 20–9)
Gravitation
-
Newton's law of gravitation
(Sec. 14–2)
-
The shell theorems
(Secs. 14–5, 14–4)
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Gravitational potential energy
(Sec. 14–6)
-
Motion of planets and satellites
(Sec. 14–7)
Oscillations
-
Oscillating systems
(Sec. 17–1)
-
Simple harmonic motion
(Secs. 17–2 through 17–4)
-
Simple and physical pendulums
(parts of Sec. 17–5)