A block of mass \(m\) is placed on top of a cart of mass \(M\). The cart is connected to an ideal horizontal spring with spring constant \(k\) and rests on a horizontal surface with negligible friction. The coefficient of static friction between the block and the cart is \(\mu_s\). The system is displaced from equilibrium and released from rest to oscillate in simple harmonic motion. What is the maximum amplitude of oscillation \(A_{\text{max}}\) for which the block will not slip on the cart, in terms of \(m\), \(M\), \(k\), \(\mu_s\), and fundamental constants?