A person weighs 169 lb. Each crutch makes an angle of θ = 18.0° with the vertical. Half of the person's weight is supported by the crutches, the other half by the vertical forces exerted by the ground on his feet. Assuming he is at rest and the force exerted by the ground on the crutches acts along the crutches, determine each of the following. A person is shown supporting their weight on a pair of crutches, one under each arm, such that their bottom ends are farther apart than their top ends. Each crutch forms an angle θ with the vertical. (a) the smallest possible coefficient of friction between crutches and ground (b) the magnitude of the compression force supported by each crutch lb

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
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A person weighs 169 lb. Each crutch makes an angle of

θ = 18.0°

with the vertical. Half of the person's weight is supported by the crutches, the other half by the vertical forces exerted by the ground on his feet. Assuming he is at rest and the force exerted by the ground on the crutches acts along the crutches, determine each of the following.

A person is shown supporting their weight on a pair of crutches, one under each arm, such that their bottom ends are farther apart than their top ends. Each crutch forms an angle θ with the vertical.
(a) the smallest possible coefficient of friction between crutches and ground


(b) the magnitude of the compression force supported by each crutch
lb
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