Lecture_8_(Student_Handoutl)

Lecture_8_(Student_Handoutl) - PHYS 172: Modern Mechanics...

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Summer 2009 PHYS 172: Modern Mechanics Lecture 8 – Motion Along a Curve Read 4.9 – 4.13 Reading Quiz 1
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Connecting the Microscopic and Macroscopic: Counting Springs and Young’s Modulus Today: Curvilinear Motion Curvilinear Motion Derivative Form of Momentum Principle Parallel and Normal Components Last Time: Spring Model of Solids If atoms don’t move too far away from equilibrium, force looks like a spring force! Fl i n e a r G 0 Force (x-dir) (N)
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Counting Springs double the width of wire area x 4 number of chains x 4: wire is 4x stiffer end view of wire (cross-section) side view of wire (layers of cross-sections) wire stiffness inversely proportional to # of layers double length of wire double # layers double length of overall spring reduce overall stiffness by ½. wire stiffness proportional to # parallel chains T F L strain = ; stress = LA Δ Young’s Modulus Ts Fk L = Δ s, s = atomic spring stretch k = atomic spring constant d = lattice spacing i
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Limitation in Applying Spring Model Demo: If you apply too much stress, the springs start deforming and breaking.
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Lecture_8_(Student_Handoutl) - PHYS 172: Modern Mechanics...

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