A crossing guard holds a STOP sign at arms length, as shown in FIGURE 11-63. Her arm
Question:
A crossing guard holds a STOP sign at arm’s length, as shown in FIGURE 11-63. 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 Wu = 18 N, the weight of her lower arm is Wl = 11 N, the weight of her hand is Wh = 4.0 N, and the weight of the sign is Ws = 8.9 N. The location where each of these forces acts on the arm is indicated in the figure. A force of magnitude ƒd 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 ƒx and ƒy, respectively.
(a) Is the magnitude of ƒd greater than, less than, or equal to the magnitude of ƒx? Explain. Find
(b) ƒd,
(c) ƒx,
(d) ƒy. (The weights in Figure 11-63 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.)
Transcribed Image Text:
Deltoid muscle STOP Humerus Radius Úlna CROSSING CUARD оти Axis -18° Wh W. W. Free-Body Diagram of the Arm 65 cm 42 cm 18 cm 14 cm
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