1.62. Set Up:Use coordinates for whichis east andis north. The vector displacements are:of east; south of east; and eastSolve:north of east. The vector addition diagram in Figure 1.62 shows good qualitative agreement with these values.Figure 1.621.63. Set Up:Use coordinates having a horizontal axis and an upward axis. Then Solve:andSinceand1.64. Set Up:For parts (a) and (b), draw a vector diagram of the forces on the boulder with the direction alongthe hillside and the direction in the downward direction and perpendicular to the hillside. For part (c), draw asimilar 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 asFigure 1.65Solve: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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