Prob. # 4] Three identical springs (Figure P4), each of stiffness k = 60 lb/t, support a block of mass m = 0.5 lb. Bar AB is rigidly and lightly enough that its deflection and mass are negligible. Determine a) the equivalent stiffness of the springs, b) the total elongation of the springs, and c) the degrees-of- freedom the system.

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Free undamped vibrations

Whenever an object/system displaces in either side of its equilibrium position with the help of an external/internal means, then the object/system moves regularly or randomly on both sides of its equilibrium position. This motion is called vibration. Generally, there are three types of vibration: longitudinal vibration, transverse vibration, and torsional vibration.