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Chapter 12: Q19P (page 347)
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?
Answer:
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In Fig. 12-22, a vertical rod is hinged at its lower end and attached to a cable at its upper end. A horizontal forceis to be applied to the rod as shown. If the point at which then force is applied is moved up the rod, does the tension in the cable increase, decrease, or remain the same?
In Fig. 12-42, what magnitude of (constant) forceapplied horizontally at the axle of the wheelis necessary to raise the wheel over a step obstacle of height ? The wheel鈥檚 radius is ,and its mass is .
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?
A crate, in the form of a cube with edge lengths of , contains a piece of machinery; the center of mass of the crate and its contents is located above the crate鈥檚 geometrical center. The crate rests on a ramp that makes an angle with the horizontal. As is increased from zero, an angle will be reached at which the crate will either tip over or start to slide down the ramp. If the coefficient of static friction between ramp and crate is (a) Does the crate tip or slide? And (b) at what angle does the crate tip or slide occur? (c) If,does the crate tip or slide? And (d) If,at what angle u does the crate tip or slide occur?
A door has a height of along a yaxis that extends vertically upward and a width of along an xaxis that extends outward from the hinged edge of the door. A hinge 0.30 m from the top and a hinge 0.30 m from the bottom each support half the door鈥檚 mass, which is . In unit-vector notation, (a) what is the forces on the door at the top hinge and (b) what is the forces on the door at the bottom hinge?
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