If you take a few steps and watch what is happening, you\'ll see that your body

Question

If you take a few steps and watch what is happening, you'll see that your body pivots in a circular motion (not a whole circle, just part of a circle) over your forward foot as your bring your rear foot forward for the next step. As you do so, the normal force on your foot changes.
a. A person's centre of mass is very near to the hips, at the top of the legs. Model a person as a particle (a single dot on a free body diagram) of mass m at the top of a leg of length L. The mass of the leg is much less than m. Find an expression for the person's maximum walking speed vmax. Remember the foot has to stay in contact with the ground for this to be considered walking.
b. Evaluate your expression for the maximum walking speed of a 70-kg person with a typical leg length of 70 cm. Find your answer in m/s. If you take a few steps and watch what is happening, you'll see that your body pivots in a circular motion (not a whole circle, just part of a circle) over your forward foot as your bring your rear foot forward for the next step. As you do so, the normal force on your foot changes.
a. A person's centre of mass is very near to the hips, at the top of the legs. Model a person as a particle (a single dot on a free body diagram) of mass m at the top of a leg of length L. The mass of the leg is much less than m. Find an expression for the person's maximum walking speed vmax. Remember the foot has to stay in contact with the ground for this to be considered walking.
b. Evaluate your expression for the maximum walking speed of a 70-kg person with a typical leg length of 70 cm. Find your answer in m/s. If you take a few steps and watch what is happening, you'll see that your body pivots in a circular motion (not a whole circle, just part of a circle) over your forward foot as your bring your rear foot forward for the next step. As you do so, the normal force on your foot changes.
a. A person's centre of mass is very near to the hips, at the top of the legs. Model a person as a particle (a single dot on a free body diagram) of mass m at the top of a leg of length L. The mass of the leg is much less than m. Find an expression for the person's maximum walking speed vmax. Remember the foot has to stay in contact with the ground for this to be considered walking.
b. Evaluate your expression for the maximum walking speed of a 70-kg person with a typical leg length of 70 cm. Find your answer in m/s.

Explanation / Answer

a)

Since he is in verge of contact at maximum speed

Mg-N = mv^2/L

For maximum speed N=0

V= sqrt(gL)

b)

Substituting the values we get

V=2.62m/s

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