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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 12-17 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 鈥渟napshots鈥� of Fig. 12-17, point left or right. Which disks are in equilibrium?
Question: Figure 12-55 shows the stress鈥搒train curve for a material. The scale of the stress axis is set by,s = 300 in units of. (a) What is the Young鈥檚 modulus? And (b) What is the approximate yield strength for this material?
Figure:
A uniform ladder is 10 m long and weighs . In Fig. 12-78, the ladder leans against a vertical, frictionless wall at height above the ground. A horizontal force is applied to the ladder at distance from its base (measured along the ladder).
(a) If force magnitude , what is the force of the ground on the ladder, in unit-vector notation?
(b) If , what is the force of the ground on the ladder, also in unit-vector notation?
(c) Suppose the coefficient of static friction between the ladder and the ground is for what minimum value of the force magnitude Fwill the base of the ladder just barely start to move toward the wall?
Figure 12-62 is an overhead view of a rigid rod that turns about a vertical axle until the identical rubber stoppersand are forced against rigid walls at distancesandfrom the axle. Initially the stoppers touch the walls without being compressed. Then forceof magnitude is applied perpendicular to the rod at a distance from the axle. Find the magnitude of the force compressing (a) stopper, and (b) stopper.
A uniform cube of side length rests on a horizontal floor.The coefficient of static friction between cube and floor is m. A horizontal pull is applied perpendicular to one of the vertical faces of the cube, at a distance above the floor on the vertical midline of the cube face. The magnitude of is gradually increased. During that increase, for what values of will the cube eventually (a) begin to slide and (b) begin to tip? (Hint:At the onset of tipping, where is the normal force located?)
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