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PHY 7 11 Classical Mechanics and Mathematical Methods 10-10:50 AM MWF Olin 103 PowerPoint PPT Presentation


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PHY 7 11 Classical Mechanics and Mathematical Methods 10-10:50 AM MWF Olin 103 Plan for Lecture 5: Chapter 2 – Physics described in an accelerated coordinate frame. #5. Special seminar today: 11-11:50 AM Olin 103. SILICENE.

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PHY 7 11 Classical Mechanics and Mathematical Methods 10-10:50 AM MWF Olin 103

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  • PHY 711 Classical Mechanics and Mathematical Methods

  • 10-10:50 AM MWF Olin 103

  • Plan for Lecture 5:

    • Chapter 2 – Physics described in an accelerated coordinate frame

PHY 711 Fall 2012 -- Lecture 5


#5

PHY 711 Fall 2012 -- Lecture 5


Special seminar today: 11-11:50 AM Olin 103

SILICENE

PHY 711 Fall 2012 -- Lecture 5


Application of Newton’s laws in a coordinate system which has an angular velocity and linear acceleration

Newton’s laws; Let rdenote the position of particle of mass m:

Centrifugal

force

Coriolis

force

PHY 711 Fall 2012 -- Lecture 5


Motion on the surface of the Earth:

PHY 711 Fall 2012 -- Lecture 5


Non-inertial effects on effective gravitational “constant”

0.03 m/s2

9.80 m/s2

PHY 711 Fall 2012 -- Lecture 5


Foucault pendulum

http://www.si.edu/Encyclopedia_SI/nmah/pendulum.htm

The Foucault pendulum was displayed for many years in the Smithsonian's National Museum of American History. It is named for the French physicist Jean Foucault who first used it in 1851 to demonstrate the rotation of the earth.

PHY 711 Fall 2012 -- Lecture 5


Equation of motion on Earth’s surface

w

y (east)

z (up)

q

x (south)

PHY 711 Fall 2012 -- Lecture 5


Foucault pendulum continued – keeping leading terms:

PHY 711 Fall 2012 -- Lecture 5


Foucault pendulum continued – keeping leading terms:

PHY 711 Fall 2012 -- Lecture 5


Foucault pendulum continued – coupled equations:

PHY 711 Fall 2012 -- Lecture 5


Foucault pendulum continued – coupled equations:

PHY 711 Fall 2012 -- Lecture 5


PHY 711 Fall 2012 -- Lecture 5


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