Looking at the Mass from the String

Model:

• Mass divides string into two segments
• String segment model = digital waveguide
• Mass model = scattering junction

Force Equation:

$$f_m(t) + f_{1m}(t) + f_{2m}(t) = 0,$$

where

• $f_{1m}(t) =$ force applied by string-segment 1 to the mass
• $f_{2m}(t) =$ force applied by string-segment 2 to the mass
• $f_m(t) =$ inertial force applied by mass to both string endpoints
• Force is positive in the ``up'' direction