The compound pendulums shown in figure consist of slender


Question: The compound pendulums shown in Figure consist of slender bars. Assume the springs are initially undeflected and neglect friction and small motion. The following data set applies: 2m1 =

Tasks: (a) Select coordinates and draw the free-body diagrams for the two bodies.

(b) Obtain the equations of motion for the system and present them in matrix format

(c) Solve for the normalized eigenvalues and eigenvectors.

(d) State the uncoupled modal equations of motion and the transformation from modal to physical coordinates

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Mechanical Engineering: The compound pendulums shown in figure consist of slender
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