Exercise 4: Displacement of an Underdamped Oscillator AIM: A small block of mass m is suspended vertically by a spring with spring constant k. The block is moving in a viscous medium with a damping force of the form cv where c 'r" 0 is the damping constant and v is its instantaneous velocity. Taking downward as the positive direction, the vibration of the block is modeled by the differential equation: d2): dx bro mdt2+cdif+ where x() is the displacement of the block from its equilibrium position at time t. The block is said to be underdamped ifjr'