A nonlinear spring has a tensile force x deflection force relationship given by Fm = 150 x + 400 x2, where x is expressed in meters and Fm is in Newtons. Determine the acceleration of the 6 kg block if it is released from rest at: (a) When x = 50 mm and; (b) When x = 100 mm.

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Forced undamped vibrations

In mechanical engineering, vibration is expressed as the term that occurs due to an object's backward and forward movement about a point of equilibrium. Generally, there are three types of vibrations which are,