All you have is a cheap digital wristwatch and a pair of shoes (including shoelaces of known length). With mass, new equilibrium position has spring stretched d èΣF = èΣF = èSame as horizontal! SHO èNew equilibrium position y=-d Physics 101: Lecture 20, Pg 11 ACT If the springs were vertical, and stretched the same distance d from their equilibrium position and then released, which would have the maximum kinetic energy? 1) M 2) 2M 3) Same PE = 1/2k y2 PE = 1/2k y2 Y=0 Y=0 Physics 101: Lecture 20, Pg 12 Pendulum Motion lFor small angles èT = mg èTx = -mg (x/L) Note: F proportional to x! èΣ Fx = m ax èRecall for SHO a = -ω2 x Period does not depend on A, or m! m L x Physics 101: Lecture 20, Pg 15 Preflight 6 Imagine you have been kidnapped by space invaders and are being held prisoner in a room with no windows. Same Physics 101: Lecture 20, Pg 6 Review: Simple Harmonic Motion Period = T (seconds per cycle) Frequency = f = 1/T (cycles per second) Angular frequency = ω = 2πf = 2π/T Physics 101: Lecture 20, Pg 7 Simple Harmonic Motion: Quick Review x(t) = cos(ωt) v(t) = -sin(ωt) a(t) = -cos(ωt) x(t) = sin(ωt) v(t) = cos(ωt) a(t) = -sin(ωt) xmax = A vmax = Aω amax = Aω2 Period = T (seconds per cycle) Frequency = f = 1/T (cycles per second) Angular frequency = ω = 2πf = 2π/T OR Physics 101: Lecture 20, Pg 10 Vertical Mass and Spring l If we include gravity, there are two forces acting on mass. Which case has the largest maximum velocity? 1. In Case 2, the mass is doubled but the spring and the amplitude of the oscillation is the same as in Case 1. The distribution of letter grades varies from semester to semester according to the abilities of the students in each class.Download Elasticity and Oscillations - Lecture Notes | PHYS 101 and more Physics Study notes in PDF only on Docsity!Physics 101: Lecture 20, Pg 1 Physics 101: Lecture 20 Elasticity and Oscillations l Today’s lecture will cover Textbook Chapter 10.5-10.10 Exam III Physics 101: Lecture 20, Pg 2 Physics 101: Lecture 20, Pg 5 ACT In Case 1 a mass on a spring oscillates back and forth. These problems are more algebraic than the numerical questionsĬopies of old final examinations (including answers, but not complete solutions) are available in PDF format. The problems are organized according to topic as For most lectures, slides are presented below in two versions: the original slides, and annotated slides with in-class markup by the instructors. Nicola Marzari Instructor for Thermodynamics: Prof. Instructor for Structure and Bonding: Prof. Links are provided to 130 pages of sample problems and their solutions drawn from assignments andĮxaminations over several years. Each class lecture includes structure and bonding content and thermodynamics content. I have been saving lecture notes from dozens of. The lectures are stored as PDF files and can beread by Adobe Acrobat Reader (clickto download a free copy from Adobe). I am a student at the University of Manchester studying theoretical physics and due to graduate in 18. Download Elasticity and Oscillations - Lecture Notes PHYS 101 and more Physics Study notes in PDF only on Docsity Physics 101: Lecture 20, Pg 1 Physics. This page contains links to typed versions oflectures given by Dave Boal. Physics 101 - General Physics I is a first year course for students pursuing a programin the biological sciences. "Boal's PHYS 101 - Intro" PHYS101: General Physics - I Physics 101 - General Physics I is a first year course for students pursuing a program in the biological sciences.
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