A crutch is pressed against the sidewalk with a force F c along its own direction as

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A crutch is pressed against the sidewalk with a force Fc along its own direction as in Figure. This force is balanced by the normal force Fn and a frictional force fs.

(a) Show that when the force of friction is at its maximum value, the coefficient of friction is related to the angle θ by μs = tan θ.

(b) Explain how this result applies to the forces on your foot when you are not using a crutch.

(c) Why is it advantageous to take short steps when walking on ice?

A crutch is pressed against the sidewalk with a force

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