PHYS 1007 Lecture Notes - Lecture 21: Circular Motion, Number Density, Thermodynamics

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Characterized by a restoring force that tends to return an object to its equilibrium posiion. Example of shm: mass on the end of a spring that is oscillaing back and forth over equilibrium posiion. We can show that max velocity: vo = aroot(k/m) A is amplitude: and for any velocity: The same velocity dependence is found for uniform circular moion: only for its x component. So, we can use circular moion to determine the period of oscillaion: t = (2pia)/vo = 2pi(root(m/k)) = (2pi)/w. Displacement, velocity, acceleraion: x = acos(wt, v = - vosin(wt) = - awsin(wt, a = -aocos(wt) = - aw2cos(wt) since angle theta equals (wt) Deined as a quanity which determines whether two objects are in thermal equilibrium (no net low of thermal energy). Also, it is associated with kineic energy of a body (same thing) Zeroth law of thermodynamics (law that enables measurements of temperature by thermometry):

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