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Physics 1A, Section 6 October 23, 2008 Second Quiz • covers: – T.M.U. chapters 5-8 (and 1-4) – lectures/sections through today (Oct. 23) – homework #2-4 (and #1) • open book (T.M.U., Feynman Vol. I), open class notes, open homework • Pick it up tomorrow before/after the lecture Problem Solving Hints: Normal Force and Friction • suggested order: 1) draw gravity and other fixed external forces (direction and magnitude are unambiguous) 2) draw normal force (prevents interpenetration of objects) 3) draw friction force (perpendicular to normal force) • kinetic friction: F = mkN direction opposite to relative velocity • static friction: F ≤ msN direction and magnitude to prevent relative acceleration Thursday, October 23: • Quiz Problem 48 • Quiz Problem 11 • Optional, but helpful, to look at these in advance. Quiz Problem 48: kinetic friction Quiz Problem 48 • Answer: a) m1a = T + m1g(sinq – m1cosq), m2a = -T + m2g(sinq – m2cosq) b) a = g[sinq – cosq(m1m1+m2m2)/(m1+m2)], T = gcosq(m1-m2)m1m2/(m1+m2) c) m1 > m2 Quiz Problem 11: static & kinetic friction Quiz Problem 11 • Answer: a) a = g(m1scosq - sinq) b) F = (m1+m2)g(m2kcosq + m1scosq) Monday, October 27: • Quiz Problem 29 (non-inertial frames) • Quiz Problem 49 (springs) • Optional, but helpful, to look at these in advance. Location of Lagrange Points • L1,L2: DR ≈ R(ME/3MS)1/3 – about 0.01 A.U. from Earth toward or away from Sun – unstable orbits • L3: orbital radius ≈ R[1 + (5ME/12Ms)] – very unstable orbit • L4,L5: three bodies form an equilateral triangle – stable orbits 1 A.U. = astronomical unit = distance from Earth to Sun Advanced Composition Explorer – examines solar wind Wilkinson Microwave Anisotropy Probe – examines relic radiation from Big Bang