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A muscle is supported from a fixed point and has a mass M attached to it (Fig. 8.31). Assume that the muscle can be modeled using a three element model, noting that the arrangement of elements is different than used in Section 8.2. Call the muscle length x, and denote the value of x before the muscle begins to contract by xo. At time t = 0, the active component of the muscle begins to contract and produces a constant tension To for duration C. This causes the mass to rise, i.e., causes x to decrease with time. (a) Treating the muscle as massless, show that x(t) is given by To х — Хо (8.25) ko х No Ko To м Figure 8.31 where no 1+ /1 – 4koM/ no² 2M [1 2м -VI-4kом/ то? (b) If To = 15 N, ko = 500 N/m, M =1 kg, no= 100 N s/m, and C =0.1 s, По 12 = calculate how far the mass M will have risen at the end of the contraction (i.e., at t = C).

A muscle is supported from a fixed point and has a mass M attached to it (Fig. 8.31). Assume that the muscle can be modeled using a three element model, noting that the arrangement of elements is different than used in Section 8.2. Call the muscle length x, and denote the value of x before the muscle begins to contract by xo. At time t = 0, the active component of the muscle begins to contract and produces a constant tension To for duration C. This causes the mass to rise, i.e., causes x to decrease with time. (a) Treating the muscle as massless, show that x(t) is given by To х — Хо (8.25) ko х No Ko To м Figure 8.31 where no 1+ /1 – 4koM/ no² 2M [1 2м -VI-4kом/ то? (b) If To = 15 N, ko = 500 N/m, M =1 kg, no= 100 N s/m, and C =0.1 s, По 12 = calculate how far the mass M will have risen at the end of the contraction (i.e., at t = C).

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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A muscle is supported from a fixed point and has a mass M attached to it (Fig. 8.31). Assume that the muscle can be modeled using a three element model, noting that the arrangement of elements is different than used in Section 8.2. Call the muscle length x, and denote the value of x before the muscle begins to contract by xo. At time t = 0, the active component of the muscle begins to contract and produces a constant tension To for duration C. This causes the mass to rise, i.e., causes x to decrease with time. (a) Treating the muscle as massless, show that x(t) is given by To х — Хо (8.25) ko х No Ko To м Figure 8.31 where no 1+ /1 – 4koM/ no² 2M [1 2м -VI-4kом/ то? (b) If To = 15 N, ko = 500 N/m, M =1 kg, no= 100 N s/m, and C =0.1 s, По 12 = calculate how far the mass M will have risen at the end of the contraction (i.e., at t = C).
Transcribed Image Text:A muscle is supported from a fixed point and has a mass M attached to it (Fig. 8.31). Assume that the muscle can be modeled using a three element model, noting that the arrangement of elements is different than used in Section 8.2. Call the muscle length x, and denote the value of x before the muscle begins to contract by xo. At time t = 0, the active component of the muscle begins to contract and produces a constant tension To for duration C. This causes the mass to rise, i.e., causes x to decrease with time. (a) Treating the muscle as massless, show that x(t) is given by To х — Хо (8.25) ko х No Ko To м Figure 8.31 where no 1+ /1 – 4koM/ no² 2M [1 2м -VI-4kом/ то? (b) If To = 15 N, ko = 500 N/m, M =1 kg, no= 100 N s/m, and C =0.1 s, По 12 = calculate how far the mass M will have risen at the end of the contraction (i.e., at t = C).
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