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Chapter 12: Q82P (page 353)
If the (square) beam in fig 12-6aassociated sample problem is of Douglasfir, what must be its thickness to keep the compressive stress on it to of its ultimate strength?
The thickness of Douglas fir is,
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Figure 12-19 shows an overhead view of a uniform stick on which four forces act. Suppose we choose a rotation axis through point O, calculate the torques about that axis due to the forces, and find that these torques balance. Will the torques balance if, instead, the rotation axis is chosen to be at
(a) point A(on the stick),
(b) point B(on line with the stick), or
(c) point C(off to one side of the stick)?
(d) Suppose, instead, that we find that the torques about point Odoes not balance. Is there another point about which the torques will balance?
In Fig. 12-41, a climber with a weight of 533.8 N is held by a belay rope connected to her climbing harness and belay device; the force of the rope on her has a line of action through her center of mass. The indicated angles are and. If her feet are on the verge of sliding on the vertical wall, what is the coefficient of static friction between her climbing shoes and the wall?
Figure (a) shows a horizontal uniform beam of massand lengththat is supported on the left by a hinge attached to a wall and on theright by a cable at angle with the horizontal. A package of mass is positioned on the beam at a distance from the left end. The total mass is. Figure (b) gives the tension in the cable as a function of the package’s position given as a fraction of the beam length. The scale of the axis is set by and .
(a) Evaluate angle ,
(b) Evaluate mass , and
(c) Evaluate mass .
Figure 12-17 shows four overhead views of rotating uniform disks that are sliding across a frictionless floor. Three forces, of magnitude F, 2F, or 3F, act on each disk, either at the rim, at the center, or halfway between rim and center. The force vectors rotate along with the disks, and, in the “snapshots” of Fig. 12-17, point left or right. Which disks are in equilibrium?
Question: To crack a certain nut in a nutcracker, forces with magnitudes of at least 40 N must act on its shell from both sides. For the nutcracker of Figure, with distances L =12 cmand D = 2.6 cm , what are the force components F (perpendicular to the handles) corresponding to that 40 N?
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