As a model of a linear triatomic molecule (such as CO2), consider the system shown in Figure 11.21, with two identical atoms each of mass m connected by two identical springs to a single atom of mass M. To simplify matters, assume that the system is confined to move in one dimension. (a) Write down the Lagrangian and find the normal frequencies of the system. Show that one of the Figure 11.21 11.32 normal frequencies is zero. (b) Find and describe the motion in the normal modes whose frequencies are nonzero. (c) Do the same for the mode with zero frequency. [Hint: See the comments at the end of 11.271

# As a model of a linear triatomic molecule (such as CO2),

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## Solution for problem 11.32 Chapter 11

Classical Mechanics | 0th Edition

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As a model of a linear triatomic molecule (such as CO2),