Two springs, having different stiffnesses (k_{1}) and (k_{2}) with (k_{2}>k_{1}), are placed on either side of a

Question:

Two springs, having different stiffnesses \(k_{1}\) and \(k_{2}\) with \(k_{2}>k_{1}\), are placed on either side of a mass \(m\), as shown in Fig. 13.27. When the mass is in its equilibrium position, no spring is in contact with the mass. However, when the mass is displaced from its equilibrium position, only one spring will be compressed. If the mass is given an initial velocity \(\dot{x}_{0}\) at \(t=0\), determine (a) the maximum deflection and (b) the period of vibration of the mass.

image text in transcribed