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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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Figure 12-49ashows a vertical uniform beam of length Lthat is hinged at its lower end. A horizontal force is applied tothe beam at distance yfrom the lower end. The beam remainsvertical because of a cable attached at the upper end, at anglewith the horizontal. Figure12-49agives the tension Tin the cableas a function of the position of the applied force given as a fraction y/Lof the beam length. The scale of the Taxis is set by.Figuregives the magnitude Fhof the horizontal force on thebeam from the hinge, also as a function of y/L. Evaluate (a) angleand (b) the magnitude of .
In Figure 12-43, a climber leans out against a vertical ice wall that has negligible friction. Distance ais and distance Lis. His center of mass is distance from the feet–ground contact point. If he is on the verge of sliding, what is the coefficient of static friction between feet and ground?
In Fig. 12-60, a 103 kguniform log hangs by two steel wires, Aand B, both of radiuses 1.20 mm. Initially, wire Awas 2.50 mlong and 2.0 mmshorter than wire B. The log is now horizontal. What are the magnitudes of the forces on it from (a) wire Aand (b) wire B? (c) What is the ratio dA/dB?
In Fig. 12-20, a stationary 5 kg rod ACis held against a wall by a rope and friction between rod and wall. The uniform rod is 1 m long, and angle
(a) If you are to find the magnitude of the force
on the rod from the rope with a single equation, at what labeled point should a rotation axis be placed? With that choice of axis and counter-clockwise torques positive,
what is the sign of
(b) the torquedue to the rod’s weight and
(c) the torquedue to the pull on the rod the rope?
(d) Is the magnitude of greater than, less than, or equal to the magnitude of ?
Question: A bowler holds a bowling ball (M = 7.2 Kg) in the palm of his hand (Figure 12-37). His upper arm is vertical; his lower arm (1.8 kg) is horizontal. What is the magnitude of (a) the force of the biceps muscle on the lower arm and (b) the force between the bony structures at the elbow contact point?
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