Question: Problem # 5 ( FBD 1 0 points & solution 2 0 points ) Consider the pendulum and spring system of Figure 2

Problem

\

5 (

FBD

10

points

\

& solution

20

points

)

Consider the pendulum and spring system of Figure

2 .

Here the mass of the pendulum rod is negligible. Drive the equation of the motion using the Lagrange's formulation. Then linearize the system for small angles and determine the natural frequency. The length of the pendulum is l

,

the tip mass is m

,

and the spring stiffness is k

.

$Problem \ # 5 ( FBD 1 0 points \ & solution 2 0$

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