Question: a consider a spring of stiffness k with one end...
a. Consider a spring of stiffness k with one end fixed and the other end free to move in x direction. Present a simple and clear argument that it is physically impossible to change the force on the spring instantaneously, which serves as another proof that the energy stored in an element is time continuous.Note that you should not use energy stored for the proof as it is what we want to prove using other physical considerations. b. Now consider a damper of damping constant b with one end fixed and the other end free tomove in x direction. Show that the force on the damper can change instantaneously without leading to any physical impossibility as in spring.