Degree of Freedom - Free Undamped Vibn ostant. Car mass X2 k Car spring 2k M2 M2 Tyre mass 2m k2 X2 Tyre stiffness 2k Figure P10 - Two-degree-of-freedom model of a vehicle suspension system Figure P11 temmis given-in-Figure Santy more sophisTicareo- ucr - vE P10. Write the equauons ur mouon mauIA TOTm. Caiculate the natururcquencieS tr k=10° N/m ; k2=10* N/m ; M2=50 kg ; M1=2,000 kg. Problem 11 Determine the two natural frequencies and mode shapes of the two-mass systems as STown in Figure P11. k 4k X, 1,- X2 %3D m m 2k 2m Figure P12 k 2k m m. Figure P13 Figure P14 Problem 12 W- WWHE H

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Free Body Diagram

The system of forces acting on a body tends to either rotate it or make the body undergo motion. In general, when an external agent exerts a force on a body, the body undergoes translational motion and rotational motion. The body has six degrees of freedom under the influence of that force. Here, three degrees of freedom are from the translational motion while the other three are from the rotation motion. However, sometimes the bodies are not allowed to undergo any motion and are fixed, under such conditions the body is said to be constrained.