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“Mechanics of motor proteins and the cytoskeleton” Jonathan Howard
Chapter 2 Mechanical Forces Dr, Neiman Yinyun Sudiksha
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Protein Molecule
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Mechanical Forces Acting on The Protein Molecule
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Introduction to Mass, Spring and Dashpots
Objects Properties MASSES SPRINGS Dashpots Basic Pictures Equation of Motion Newton’s 2nd Law of Motion Hooke’s Law Stokes Law
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Motion of Masses, Springs and Dashpots
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Motion In a Dashpot
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Motion of Springs, Dashpots, and Masses Induced by Applied Forces
Example 2.2
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Motion of Combinations of Mechanical Elements
(A) Mass & Dashpot (ex 2.3) (B) Spring & Dashpot(ex 2.5) (c) Mass & Spring(ex 2.6, 2.7)
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Motion of a Mass and Spring with Damping
The equation of motion: Underdamped: Overdamped: Inertial forces (tend to produce oscillations) v.s. viscous forces (tend to damp the oscillations out)
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Work, Energy and Heat Work: Potential energy: Kinetic energy: Heat: First Law of Thermal Dynamics: Conservation of Energy.
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Conservation of Energy
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Summarization 3 mechanical elements: Mass, Spring, Dashpot
2 ways of responding to mechanical forces: oscillate or move monotonically 2 ways to generalize the mechanical models : increase the number of mechanical elements or consider the “continuum” solids that have material properties such as elasticity, density and viscosity.
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