Dr Nick

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$14/per page/Negotiable

About Dr Nick

Levels Tought:
Elementary,Middle School,High School,College,University,PHD

Expertise:
Art & Design,Computer Science See all
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Teaching Since: May 2017
Last Sign in: 247 Weeks Ago, 4 Days Ago
Questions Answered: 19234
Tutorials Posted: 19224

Education

  • MBA (IT), PHD
    Kaplan University
    Apr-2009 - Mar-2014

Experience

  • Professor
    University of Santo Tomas
    Aug-2006 - Present

Category > Physics Posted 08 Nov 2017 My Price 15.00

The molecule is held together by forces that are harmonic for small oscillations & the force constants are each equal to k.

A plane triatomic molecule consists of equal masses m at the vertices of a triangle. If the masses were at rest, the masses would be on an equilateral triangle of side b. The molecule is held together by forces that are harmonic for small oscillations & the force constants are each equal to k. Consider motion in the plane of the molecule only. 

Write expressions for the kinetic energy, the potential energy, & the Lagrangian of the system.

Derive the equations of motion using Lagrange’s equations. 

Assume small oscillations. Set up & solve the solve the secular equation for the normal mode eigenfrequencies & eigenvectors. How many normal modes are there? Do any of them correspond to ω = 0?

Answer the following question using mostly WORDS, in complete, grammatically correct

English sentences! You may also make a sketch if that helps your discussion.  

Qualitatively discuss the motion of the 3 masses in each of the normal modes

Answers

Dr Nick
(3)
Status NEW Posted 08 Nov 2017 02:11 PM My Price 15.00

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