All materials are available from the top-level URL, http://courses.physics.illinois.edu/phys325/ i.e. homework & discussion problems & solutions, lecture blackboards, formula sheets, and INFO files. The ITEM column contains these entries for week n: nread READING for week n = sections from textbooks nd DISCUSSION = Monday nA LECTURE #1 = Tuesday nB LECTURE #2 = Thursday The READING item gives textbook sections for each week where the letters mean: T Taylor = the required textbook M Morin = the recommended textbook [eBook @ UIUC Library, off-campus access needs VPN in Tunnel All mode] Please note that this syllabus may change somewhat as the semester progresses. DATE ITEM CONTENT ============================================================================ M 8/24 1read T:1.1-4, 1.6-7; M:3.1-5 1d - math: reboot T 8/25 1A - math: reboot - math: diffeq in a nutshell - F=ma: Cartesian coordinates R 8/27 1B - math: cylindrical coordinate system - F=ma: cylindrical coordinates ============================================================================ M 8/30 2read T:2.1-5; M:3.3 2d - air resistance: intuition - linear vs quadratic T 9/1 2A - math: review of the 6 basic pieces - F=ma: position-dependent force problems R 9/3 2B - F=ma: spherical coordinates - air resistance: linear, quadratic, and range - air resistance: terminal velocity ============================================================================ M 9/7 3read T:3.1-3, 1.5; M:5.5-6 3d <<<<< LABOR DAY → NO DISCUSSION #3 >>>>> T 9/8 3A - rockets: equation of motion (EOM) - rockets: solving the EOM by bypassing time R 9/10 3B - rockets: solution example #2 - rockets: derivation revisited - multipcle sys: the center of mass (CM) position - multipcle sys: collective "P=MV" - multipcle sys: calculating the CM position ============================================================================ M 9/14 4read T:3.4-5, 10.1; M:8.1-4, 2.1-2 4d - rockets: examples T 9/15 4A - multipcle sys: notational convention - capital letters - multipcle sys: collective Force Law - multipcle sys: 3rd Law violations - reboot: single-particle angular momentum & assoc quantities - reboot: reference points & associated notational convention R 9/17 4B - multipcle sys: collective Torque Law & valid reference points - multipcle sys: 3rd Law - weak & strong versions - multipcle sys: moment of inertia - recap - multipcle sys: conservation of P and L - multipcle sys: statics - free body diagrams & F,τ balancing ============================================================================ M 9/21 5read T:10.1; M:8.1, 8.4-6 5d - multipcle sys: spin-orbit decomposition of L T 9/22 5A - multipcle sys: simplifications in uniform gravity - multipcle sys: "total" vs "of CM" → P is special - multipcle sys: reference points for I and omega R 9/24 5B - multipcle sys: spin-orbit decomposition of L - multipcle sys: general decomposition of collective motion - multipcle sys: d/dt for body-fixed vectors <<<<< NO HOMEWORK #5 → study for midterm >>>>> ============================================================================ M 9/28 6read T:4.1-10; finish discussion 6; M:3.2, 5.1-4, 5.7-8 6d - multipcle sys: massless connectors & string length T 9/29 6A - multipcle sys: L = Iw proof - multipcle sys: parallel-axis theorem - multipcle sys: kinetic energy formulae - multipcle sys: rolling without slipping - multipcle sys: rolling contact point & torque law W 9/30 <<<<< OFFICE HOURS moved from Thu to Wed, 4-7 pm, Loomis 464 R 10/1 6B <<<<< MIDTERM EXAM 1 >>>>> ============================================================================ M 10/5 7read T:4.1-10 7d - energy: small oscillations - multipcle sys: rolling on a curved surface T 10/6 7A - energy: potential energy recap - energy: conservation of T+U proof - energy: conservative and no-work forces - math: irrotational-field theorem R 10/8 7B - multipcle sys: potential energy &rarr internal vs external - energy: when (T+U)-conservation CAN'T / MUST be used - energy: collisions → elastic vs inelastic - energy: CM(ass) frame = CM(omentum) frame ============================================================================ M 10/12 8read T:4.1-10 8d - energy: when you can / may / must use (T+U)-conservation T 10/13 8A - energy: calculating U → path integral reboot - multipcle sys: motion of any point on a rigid body R 10/15 8B - energy: equilibrium analysis → methods A & B ============================================================================ M 10/19 9read T:6.1-6.4; M:6.2 (sort of), 6.8 (examples) 9d - energy: equilibrium analysis → methods A & B T 10/20 9A - calcvar: Calculus of Variations → motivation and setup - calcvar: derivation of the Euler-Lagrange equations R 10/22 9B - calcvar: applications of the Euler-Lagrange equations - calcvar: simplifications → cyclic coords & Hamiltonian ============================================================================ M 10/26 10read T:7.1-7.5; M:6.1-6.2,6.7 10d - calcvar: geodesics T 10/27 10A - lagrange: Lagrangian mechanics overview - lagrange: degrees of freedom & generalized coordinates - lagrange: example → unconstrained system - lagrange: example → constrained system R 10/29 10B - lagrange: generalized force & momentum - lagrange: state / configuration / phase space - lagrange: cyclic coordinate → conserved momentum - lagrange: cyclic time → conserved Hamiltonian - lagrange: time-dependent constraints vs natural coordinates ============================================================================ M 11/2 11read T:7.5-7.8; M:6.4-6.7 11d - lagrange: practice, practice, practice T 11/3 11A - lagrange: more about the Hamiltonian - lagrange: proof part 1 → principle of least action - lagrange: proof part 2 → EOMs with generalized coords - lagrange: discussion of physical meaning 1 R 11/5 11B - lagrange: discussion of physical meaning 2 - lagrange: least-action sandbox - lagrange: effective potential part 1 <<<<< NO HOMEWORK #11 → study for midterm >>>>> ============================================================================ M 11/9 12read study for midterm 12d - lagrange: practice with effective potential T 11/10 12A - lagrange: effective potential part 2 - accel frames: pseudo-force introduction - accel frames: pseudo-force derivation → linear W 11/11 <<<<< OFFICE HOURS moved from Thu to Wed, 4-7 pm room TBA R 11/12 12B <<<<< MIDTERM EXAM 2 >>>>> ============================================================================ M 11/16 13read T:9; M:10 13d - accel frames: intuition-building examples T 11/17 13A - accel frames: pseudo-force derivation → rotating - accel frames: examples with the rotational pseudo-forces R 11/19 13B - accel frames: on earth → Coriolis shift of falling mass - accel frames: on earth → tides ============================================================================ M 11/23 . . . . . . . THANSKGIVING BREAK . . . . . . . . . . . . . . . . . . ============================================================================ M 11/30 14read T:5.1-8; M:4.1-4 14d - accel frames: practice T 12/1 14A - accel frames: on earth → finish tides - math: complex numbers → techniques & traps R 12/3 14B - complex osc: equivalent forms of SHO solution - complex osc: damped oscillations - math: linear diff eq → superposition & complex solutions ============================================================================ M 12/7 15read T:g.1-8; M:4.1-4 ... T:13 for Hamiltonian mechanics 15d - math: linear diff eq → superposition & complex solutions T 12/8 15A - complex osc: driven oscillations - complex osc: resonance - Noether's theorem in brief ============================================================================ F 12/11 <<<<< FINAL EXAM: FRIDAY, DEC 11, 8:00-11:00 am >>>>> <<<<< in Loomis 141 >>>>> • registrar's Final Exam site ============================================================================