A block of mass \(m_1\) is placed on top of a second block of mass \(m_2\), which is attached to a horizontal ideal spring with spring constant \(k\). The lower block slides along a frictionless horizontal surface, and the coefficient of static friction between the two blocks is \(\mu_s\). The system is displaced from its equilibrium position and released from rest to undergo simple harmonic motion. What is the maximum amplitude of oscillation \(A_{\max}\) for which block \(m_1\) will oscillate without slipping relative to block \(m_2\)?