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the rigid bar is supported by two springs and it...

Question: the rigid bar is supported by two springs and it...

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The rigid bar is supported by two springs and it can have bounce and pitch motions, making it a 2-DOF system. The bar is in horizontal position when its in static equilibrium. (1) Draw free-body diagram of the bar following the sign convention givern in the diagram. (2) Apply the Newton-Euler method to derive the two equations of motion with respect to coordinates y(t) and θ(t), Newtons method applies to translational motion and Eulers method applies to rotational motion, (3) Put the two ns in matrix form. The displacement vector should be ) er Note: The point G represents the center of gravity of the bar. Consider small angle rotation so that linearization can be done, ie. sin(θ) θ and tan(θ) θ. 0(t) Rigid bar, m, L,J y(t) k1 k2

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