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Of course, these equations are more easily obtainable by the direct application

hww\h k

Figure A.l Schematic for the mechanical system of Example 4.

of Newton's Second Law. This example merely illustrates the application of Lagrange's equations for a familiar problem.

Example 5

Find the equation of motion of the sprung weight W sliding on a smooth horizontal plane (see Fig. A.l).

Solution: We may take x as the generalized coordinate and measure it from the equilibrium position. Then

0 0

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