(1) Natural frequency of oscillation of mass / spring system is In this analogy where is the damping coefficient of the velocity term in the b equation of motion of the mass on a spring. When an object attached to a spring is disturbed, is motion can often be classified as underdamped, critically damped or overdamped. provides the quickest approach to Critical damping zero amplitude for a damped oscillator. With less damping (underdamping) it reaches the zero position more quickly, but oscillates around it. With more damping (overdamping), the approach to zero is slower. For our series RCL circuit, the damping is determined by the value of the resistance. The critical damping resistance is given by When the system is underdamped and when the system is overdamped. When there is underdamping , the system vibrates at its natural frequency until the oscillations die away. Any sudden changes in
(1) Natural frequency of oscillation of mass / spring system is In this analogy where b is the damping coefficient of the velocity term in the equation of motion of the mass on a spring. When an object attached to a spring is disturbed, is motion can often be classified as underdamped, critically damped or overdamped. Critical damping provides the quickest approach to zero amplitude for a damped oscillator. With less damping (underdamping) it reaches the zero position more quickly, but oscillates around it. With more damping (overdamping), the approach to zero is slower. For our series RCL circuit, the damping is determined by the value of the resistance. The critical damping resistance is given by When the system is underdamped and when the system is overdamped. When there is underdamping , the system vibrates at its natural frequency until the oscillations die away. Any sudden changes in
CNsRCL.docx