Final answer:
To find the value of the diameter ds of spindle ab, we would use the given relationships and known values to calculate the cross-sectional area and, assuming a circular cross-section, solve for the unknown diameter.
Step-by-step explanation:
To determine the corresponding required value of the diameter ds of the spindle ab, we need to follow a series of steps that involve using the provided information in the form of equations and known values. The problem seems related to a physical setup that requires applying principles of mechanics and perhaps material science for solving it. From a mathematical standpoint, we are given an equation that relates the differential mass dm to a differential length ds with a constant A, such that dm = Ads. The diameter D can then be solved using another provided relation. Additionally, concepts like cross-sectional area A and resistance R are involved, potentially pointing towards electrical or mechanical properties of materials. The context of forces arising from acto-myosin contractility and rates of curvature suggests that this could relate to biomechanics or materials stress analysis.
The precise equations and their rearrangements would be critical here. We would use the given relationships to compute the cross-sectional area A and, assuming a circular cross-section, the diameter D. Since specific equations or numerical values are not provided in the prompt, we cannot carry out the actual calculation, but the process would involve isolating the unknown diameter in the equation and substituting the known values to solve for it.