Fundamentals of Physics Extended
10th Edition
ISBN: 9781118230725
Author: David Halliday, Robert Resnick, Jearl Walker
Publisher: Wiley, John & Sons, Incorporated
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Chapter 12, Problem 22P
GO In Fig-12-39, a 55 kg rock climber is in a lie-back climb along a fissure, with hands pulling on one side of the fissure and feet pressed against the opposite side. The fissure has width w = 0.20 m, and the center of mass of the climber is a horizontal distance d = 0.40 m from the fissure. The coefficient of static friction between hands and rock is μ1 = 0.40, and between boots and rock it is μ2= 1.2. (a) What is the least horizontal pull by the hands and push by the feet that will keep the climber stable? (b) For the horizontal pull of (a), what must be the vertical distance h between hands and feet?If the climber encounters wet rock, so that μ1 and μ2 reduced, what happens to (c) the answer to (a) and (d) the answer to (b)?
Figure 12-39 Problem 22.
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In the figure a 50 kg rock climber is in a lie-back climb along a fissure, with hands pulling on one side of the fissure and feet pressed against the opposite side. The fissure has width w = 0.20 m, and the center of mass of the climber is a horizontal distance d = 0.45 m from the fissure. The coefficient of static friction between hands and rock is μ1 = 0.50, and between boots and rock it is μ2 = 1.15. The climber adjusts the vertical distance h between hands and feet until the (identical) pull by the hands and push by the feet is the least that keeps him from slipping down the fissure. (He is on the verge of sliding.)
(a) What is the least horizontal pull by the hands and push by the feet that will keep the climber stable? (b) What is the value of h?
In the figure a 57 kg rock climber is in a lie-back climb along a fissure, with hands pulling on one side of the fissure and feet pressed against the opposite side. The fissure has width w = 0.15 m, and the center of mass of the climber is a horizontal distance d = 0.30 m from the fissure. The coefficient of static friction between hands and rock is μ1 = 0.35, and between boots and rock it is μ2 = 1.30. The climber adjusts the vertical distance h between hands and feet until the (identical) pull by the hands and push by the feet is the least that keeps him from slipping down the fissure. (He is on the verge of sliding.)
(a) What is the least horizontal pull by the hands and push by the feet that will keep the climber stable? (b) What is the value of h?
In the figure a 60 kg rock climber is in a lie-back climb along a fissure, with hands pulling on one side of the fissure and feet pressed
against the opposite side. The fissure has width w = 0.30 m, and the center of mass of the climber is a horizontal distance d = 0.20 m
from the fissure. The coefficient of static friction between hands and rock is μ₁ = 0.30, and between boots and rock it is μ2 = 1.10. The
climber adjusts the vertical distance h between hands and feet until the (identical) pull by the hands and push by the feet is the least
that keeps him from slipping down the fissure. (He is on the verge of sliding.)
(a) What is the least horizontal pull by the hands and push by the feet that will keep the climber stable? (b) What is the value of h?
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Chapter 12 Solutions
Fundamentals of Physics Extended
Ch. 12 - Figure 12-15 shows three situations in which the...Ch. 12 - In Fig, 12-16, a rigid beam is attached to two...Ch. 12 - Figure 12-17 shows four overhead views of rotating...Ch. 12 - A ladder leans against a frictionless wall but is...Ch. 12 - Figure 12-18 shows a mobile of toy penguins...Ch. 12 - Figure 12-19 shows an overhead view of a uniform...Ch. 12 - In Fig. 12-20, a stationary 5 kg rod AC is held...Ch. 12 - Three piatas hang from the stationary assembly of...Ch. 12 - In Fig. 12-22, a vertical rend is hinged at its...Ch. 12 - Figure 12-23 shows a horizontal block that is...
Ch. 12 - The table gives the initial lengths of three reds...Ch. 12 - A physical therapist gone wild has constructed the...Ch. 12 - Prob. 1PCh. 12 - An automobile with a mass of 1360 kg has 3.05 m...Ch. 12 - SSM WWWIn Fig. 12-26, a uniform sphere of mass m =...Ch. 12 - An archers bow is drawn at its midpoint until the...Ch. 12 - ILWA rope of negligible mass is stretched...Ch. 12 - A scaffold of mass 60 kg and Length 5.0 m is...Ch. 12 - A 75 kg window cleaner uses a 10 kg ladder that is...Ch. 12 - A physics Brady Bunch, whose weights in newtons...Ch. 12 - SSMA meter stick balances horizontally on a...Ch. 12 - GO The system in Fig. 12-28 is in equilibrium,...Ch. 12 - SSMFigure 12-29 shows a diver of weight 580 N...Ch. 12 - In Fig. 12-30, trying to gel his car out of mud, a...Ch. 12 - Figure 12-31 shows the anatomical structures in...Ch. 12 - In Fig. 12-32, a horizontal scaffold, of length...Ch. 12 - ILWForces F1, F2 and F3 act on the structure of...Ch. 12 - A uniform cubical crate is 0.750 m on each side...Ch. 12 - In Fig. 12-34, a uniform beam of weight 500 N and...Ch. 12 - GO In Fig. 12-35, horizontal scaffold 2, with...Ch. 12 - To crack a certain nut in a nutcracker, forces...Ch. 12 - A bowler holds a bowling ball M = 7.2 kg in the...Ch. 12 - ILWThe system in Fig. 12-38 is in equilibrium. A...Ch. 12 - GO In Fig-12-39, a 55 kg rock climber is in a...Ch. 12 - GO In Fig. 12-40, one end of a uniform beam of...Ch. 12 - GO In Fig. 12-41, a climber with a weight of 533.8...Ch. 12 - SSM WWWIn Fig. 12-42, what magnitude of constant...Ch. 12 - GO In Fig. 12-43, a climber leans out against a...Ch. 12 - GO In Fig. 12-44, a 15 kg block is held in place...Ch. 12 - GO In Fig. 12-45, suppose the length L of the...Ch. 12 - A door has a height of 2.1 m along a y axis that...Ch. 12 - GO In Fig. 12-46, a 50.0 kg uniform square sign,...Ch. 12 - GO In Fig. 12-47, a nonuniform bar is suspended at...Ch. 12 - In Fig. 12-48, the driver of a car on a horizontal...Ch. 12 - Figure 12-49a shows a vertical uniform beam of...Ch. 12 - In Fig. 12-45, a thin horizontal bar AB of...Ch. 12 - SSM WWWA cubical box is filled with sand and...Ch. 12 - Figure 12-50 shows a 70 kg climber hanging by only...Ch. 12 - GO In Fig. 12-51, a uniform plank, with a length L...Ch. 12 - In Fig, 12-52, uniform beams A and B are attached...Ch. 12 - For the stepladder shown in Fig. 12-53, sides AC...Ch. 12 - Figure 12-54a shows a horizontal uniform beam of...Ch. 12 - A crate, in the form of a cube with edge lengths...Ch. 12 - In Fig. 12-7 and the associated sample problem,...Ch. 12 - SSM ILWA horizontal aluminum rod 4.8 cm in...Ch. 12 - Figure 12-55 shows the stressstrain curve for a...Ch. 12 - In Fig. 12-56, a lead brick rests horizontally on...Ch. 12 - Figure 12-57 shows an approximate plot of stress...Ch. 12 - A tunnel of length L = 150 m, height H = 7.2 m,...Ch. 12 - Figure 12-59 shows the stress versus strain plot...Ch. 12 - GO In Fig. 12-60, a 103kg uniform log hangs by two...Ch. 12 - GO Figure 12-61 represents an insect caught at the...Ch. 12 - GO Figure 12-62 is an overhead view of a rigid rod...Ch. 12 - After a fall, a 95 kg rock climber finds himself...Ch. 12 - SSMIn Fig 12-63, a rectangular slab of slate rests...Ch. 12 - A uniform ladder whose length is 5.0 m and whose...Ch. 12 - SSM In Fig. 12-64, block A mass 10 kg is in...Ch. 12 - Figure 12-65a shows a uniform ramp between two...Ch. 12 - GO In Fig. 12-66, a 10 kg sphere is supported on a...Ch. 12 - In Fig. 12-67a, a uniform 40.0 kg beam is centered...Ch. 12 - SSM In Fig. 12-68, an 817 kg construction bucket...Ch. 12 - In Fig. 12-69, a package of mass m hangs from a...Ch. 12 - ILWThe force F in Fig. 12-70 keeps the 6.40 kg...Ch. 12 - A mine elevator is supported by a single steel...Ch. 12 - Four bricks of length L, identical and uniform,...Ch. 12 - Prob. 64PCh. 12 - In Fig. 12-73, a uniform beam with a weight of 60...Ch. 12 - A uniform beam is 5.0 m long and has a mass of 53...Ch. 12 - A solid copper cube has an edge length of 85.5 cm....Ch. 12 - A construction worker attempts to lift a uniform...Ch. 12 - SSM In Fig. 12-76, a uniform rod of mass m is...Ch. 12 - A 73 kg man stands on a level bridge of length L....Ch. 12 - SSMA uniform cube of side length 8.0 cm rests cm a...Ch. 12 - The system in Fig. 12-77 is in equilibrium. The...Ch. 12 - SSMA uniform ladder is 10 m long and weighs 200 N....Ch. 12 - A pan balance is made up of a rigid, massless rod...Ch. 12 - The rigid square frame in Fig. 12-79 consists of...Ch. 12 - A gymnast with mass 46.0 stands on the end of a...Ch. 12 - Figure 12-81 shows a 300 kg cylinder that is...Ch. 12 - In Fig. 12-82, a uniform beam of length 12.0 m is...Ch. 12 - Four bricks of length L, identical and uniform,...Ch. 12 - A cylindrical aluminum rod, with an initial length...Ch. 12 - Prob. 81PCh. 12 - If the square beam in Fig. 12-6a and the...Ch. 12 - Figure 12-84 shows a stationary arrangement of two...Ch. 12 - A makeshift swing is constructed by makings loop...Ch. 12 - Figure 12-85a shows details of a finger in the...Ch. 12 - A trap door in a ceiling is 0.91 m square, has a...Ch. 12 - A particle is acted on by forces given, in...Ch. 12 - The leaning Tower of Pisa is 59.1 m high and 7.44...
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