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Determine the differential equations governing the motion

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Reference no: EM13632979

Consider the spring mass system shown in figure 1. The block with mass 4m slides on a smooth, frictionless surface and the pulley is massless. (a) Determine the differential equations governing the motion as measured from static equilibrium position using any valid method. Express the the resulting system equations in matrix form. (b) Find the natural frequencies and mode shapes for the free vibration of the system.

Reference no: EM13632979

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