What is gamma in the damping equation? x ″ + γ x ′ + w 0 2 x = 0That is the general equation for damped harmonic motion. What is the term or name that describes gamma ?Is it called the damping constant ? I know its the ration between the resistive coefficient (b) and mass of the system (m) but what do we actually call it ?

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What is gamma in the damping equation?      x    ″    +  γ      x    ′    +      w    0    2    x  =  0That is the general equation for damped harmonic motion. What is the term or name that describes gamma ?Is it called the damping constant ? I know its the ration between the resistive coefficient (b) and mass of the system (m) but what do we actually call it ?

Julius Johnston · Accepted Answer

It&#039;s called damping ratio, damping coefficient of damping constant. it measures how the oscillations of the system decay after an initial force is applied. You can calculate it with the expression:  γ  =      c          k      m      where c is the friction coefficient, m the mass of the oscillating object and k the elastic constant corresponding to Hooke&#039;s law. If   γ  &amp;gt;  1 we say that the oscillator is overdamped.

Regina Ewing · Accepted Answer

The second order differential equation arises from the application of Newton&#039;s Second Law.  ∑  F  =  m  aIn the case of oscillatory systems, such as a spring, there are two forces exerted onto the spring. The restoring force −kx and the damping force −bv where v is the velocity of the spring. Note that the assumption of linear resistive force is only an approximation, and at higher velocities drag is actually proportional to the square of velocity.                    −        k        x        −        b        v                            =        m        a                            m                              x            ¨                          +        b                              x            ˙                          +        k        x                            =        0                                                  x            ¨                          +                  b          m                                      x            ˙                          +                  k          m                x                            =        0            which is the equation you had above

What is gamma in the damping equation? x ″ </msup> + γ

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