Back Stress If a person bends at the waist with a straight back making an angle of u

Chapter 5, Problem 71

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Back Stress If a person bends at the waist with a straight back making an angle of u degrees with the horizontal, then the force F exerted on the back muscles can be modeled by the equation F = 0.6W sin1u + 902 sin 12 , where W is the weight of the person. (Source: Metcalf, H., Topics in Classical Biophysics, Prentice-Hall.) (a) Calculate force F, to the nearest pound, for W = 170 lb and u = 30. (b) Use an identity to show that F is approximately equal to 2.9W cos u. (c) For what value of u is F maximum?

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