Physics 215 -- Fall 2014 Lecture 15-21 Welcome back to Physics 215 Buoyancy Driven, damped oscillations Resonance Course evaluations.

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Presentation transcript:

Physics Fall 2014 Lecture Welcome back to Physics 215 Buoyancy Driven, damped oscillations Resonance Course evaluations

Physics Fall 2014 Lecture Current homework assignment HW11: –Knight Textbook Ch.13: 30, 32, 66 –Knight Textbook Ch.15: 32, 40, 56 –due Friday, Dec. 5 th in recitation

Physics Fall 2014 Lecture Final Exam: Thursday (Dec.11), 12:45PM Exam will be 2 hours long In Room 208 (here!) Cumulative! Material covered: –Textbook chapters 1-15 –Lectures -- all (slides online) –Workshop Activities -- all –Homework assignments -- all (solutions online) –Exams 1, 2 & 3 (solutions online) As with Exams 1, 2 & 3, Final is closed book, but you may bring calculator and one handwritten 8.5” x 11” sheet of notes -- this may be a different sheet from Exams 1, 2 & 3. Practice versions of Final Exam posted online

Physics Fall 2014 Lecture Archimedes’ principle The magnitude of the buoyant force is equal to the weight of the fluid displaced by the object. The buoyant force is the total upward force exerted on an object by the surrounding fluid.

Physics Fall 2014 Lecture How do boats float? If the density of an object is less than that of water, an object floats in water. If the density of an object is greater than that of water, an object sinks in water. …but boats can be made of metal, e.g., aluminum (  Al /  W ~ 2.7)…

Physics Fall 2014 Lecture A cubical block made of a certain type of plastic has a density of 0.75 g/cm 3. The density of water is 1.0 g/cm 3. If the block is allowed to float in water, what fraction of the volume of the block would be below the water level? 1.one quarter 2.one half 3.three quarters 4.some other fraction

Physics Fall 2014 Lecture Damped Harmonic Oscillator For example air drag for small speeds: F drag =  b v Damping constant Differential equation for x (t) Solution:

Physics Fall 2014 Lecture Forced Harmonic Oscillator Driving force Solution yields amplitude of response: Damping force Natural frequency Differential equation for x (t):

Physics Fall 2014 Lecture Resonance Small ( b ) damping Large ( b ) damping A dd

Physics Fall 2014 Lecture Reading assignment Prepare for Final Exam!