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Please show me every single step. I need to study and understand this problem fully for exam. Thank you :)
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A rigid homogeneous rod of mass 6m and length 21 is pivoted at the middle point and is constrained
to move in the vertical plane by springs and masses as shown..
a) Construct the linearized Lagrange equations assuming |0] « 1 (in radians). Assume
displacement are measured from static equilibrium, so omit gravity..
b) Find the frequencies of vibration in terms of
k
т
k
2m
2m
8(1)
T
X(t)
k
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