v= 3.34 m/s strides= 1.5 stride length = 2.1 mass= 60.78 kg 2) Prosthetic Limbs.

Question

v= 3.34 m/s

strides= 1.5

stride length = 2.1

mass= 60.78 kg

2) Prosthetic Limbs. (3 pts) In this problem we would like to design a prosthetic leg that is tuned to your body mass and stride frequency. You can rely on equations that we used in class to guide in this design. (3 pts) where k is the spring constant and m is the mass. (a) Go outside and run. Compute your stride frequency by counting the number of strides you take and the time it took to do those strides. (b) Given your mass and the data from part a, what should the spring constant be that would best suit your running style. (c) Explain how you experimentally measure a spring constant for a complex structure such as the prosthesis in the figure above

Explanation / Answer

given f = sqroot(k/m)/2*pi

a. average strides taken in one minute = 120

so stride freq = 120/60 = 1.5 Hz

b. mass m = 60.78 kg

f = 1.5

so

1.5 = sqroot(k/60.78)/2*pi

k = 5398.87 N/m

hence the spring constnat is 5398.870999 N/m

c. for the prosthetic, we apply a load F ( k,nown) the the prosthetic and measure its deflection x

then the psring constant of the prosthetic limb is given by

k = F/x

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