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Lecture18_Pushkar_2011

Lecture18_Pushkar_2011 - Midterm Exam 2 March 29 7:30-8:30...

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Lecture 18 Purdue University, Physics 220 1 Midterm Exam 2 March 29, 7:30-8:30 pm, STEW 183 will cover Chapters 6-10.
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Lecture 18 Purdue University, Physics 220 2 Lecture 18 Elasticity and Oscillations PHYSICS 220
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Lecture 4 Purdue University, Physics 220 3 Contact Force: Spring Force exerted by a spring is directly proportional to the amount by which it is stretched or compressed. F spring = - k x always trying to restore its original length
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Lecture 18 Purdue University, Physics 220 4 Hooke’s Law Revisited Hooke’s Law F/A = Y * L/L 0 k = Y A/L 0 Y (Young’s Modules) independent of L or A Has the unit of (N/m 2 ) pressure (i.e., pascal) Inherent stiffness of a material For many materials, Y is the same for compression and tension, elastic constant Stress = Y*Strain Define Strain = L / L 0 Stress = F/A F = - k L; where k depends on size of the bar and material
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Lecture 18 Purdue University, Physics 220 5 Beyond Hook’s Law Deformed beyond elastic limit material will no longer return to its original length even when F is completely removed.
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Lecture 18 Purdue University, Physics 220 6 Simple Harmonic Oscillation The force exerted by a spring is proportional to the distance the spring is stretched or compressed from its relaxed position. F X = -k x x is the displacement from the relaxed position and k is the constant of proportionality.
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Lecture 18 Purdue University, Physics 220 7 Potential Energy in Spring Force of spring is conservative F = -k x PE = -W W = -½ k x 2 PE= ½ k x 2 Work done only depends on initial and final position Force x work
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Lecture 18 Purdue University, Physics 220 8 Energy Conservation A mass is attached to a spring and set to motion. The maximum displacement is
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