Deltoid MuscleAcrossing guard holds a STOPsign at arms

Chapter 11, Problem 105

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Deltoid MuscleAcrossing guard holds a STOPsign at arms length, as shown in Figure 1145. Her arm is horizontal, and we assume that the deltoid muscle is the only muscle supporting her arm. The weight of her upper arm is , the weight of her lower arm is , the weight of her hand is , and the weight of the sign is . The location where each of these forces acts on the arm is indicated in the gure. A force of magnitude is exerted on the humerus by the deltoid, and the shoulder joint exerts a force on the humerus with horizontal and vertical components given by and respectively. (a) Is the magnitude of greater than, less than, or equal to the magnitude of Explain. Find (b) (c) and(d) (The weights in Figure 1145 are drawn to scale; the unknown forces are to be determined. If a force is found to be negative, its direction is opposite to that shown.)

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