01_InstSolManual_PDF_Part19 - Models Measurements and...

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1.62. Set Up: Use coordinates for which is east and is north. The vector displacements are: of east; south of east; and east Solve: north of east. The vector addition diagram in Figure 1.62 shows good qualitative agreement with these values. Figure 1.62 1.63. Set Up: Use coordinates having a horizontal axis and an upward axis. Then Solve: and Since and 1.64. Set Up: For parts (a) and (b), draw a vector diagram of the forces on the boulder with the direction along the hillside and the direction in the downward direction and perpendicular to the hillside. For part (c), draw a similar diagram with and (a) (b) (c) The maximum allowable weight is 1.65. Set Up: Referring to the vector diagram in Figure 1.65, the resultant weight of the forearm and the weight, is 132.5 N upward while the biceps’ force, acts at from the axis. The force of the elbow is thus found as Figure 1.65 Solve: The components are: The elbow force is thus and acts at or below the horizontal. Reflect: The force exerted by the elbow is larger that the total weight of the arm and the object it is carrying.
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