a) Draw the MATLAB graphs of P, T, n and the frequency response of the system In Modeling the Muscle Fext - Fm = mxm (External Force Balance) Fm-km X (Series Elasticity) XXX (Length Constraint) F = AS + bx1 (Parallel viscosity) Take the Laplace Transform and you will get the efferent (motor) Fibers: Muscle dynamics. Xm(s): Which will give us: 1 1 SH 1 ms + ms+b b Kim In modeling the muscle spindle, we combine the two equations: F = ksxs, and AS = Bx.. (Fext(s) - AS(s)) kas 3 After solving you will get the afferent (Sensory Fibers): Spindle dynamics. (s + n =1) (s++/-) AS (s) = B AS Xm(s)