Essential University Physics: Volume 1 (3rd Edition)
3rd Edition
ISBN: 9780321993724
Author: Richard Wolfson
Publisher: PEARSON
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Textbook Question
Chapter 5, Problem 4FTD
In cross-country skiing, skis should easily glide forward but should remain at rest when the skier pushes back against the snow. What frictional properties should the ski wax have to achieve this goal?
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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 51 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 = 0.30 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 = 1.10. 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?
(a) Number
Units
(b) Number
Units
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Chapter 5 Solutions
Essential University Physics: Volume 1 (3rd Edition)
Ch. 5.1 - A roofers toolbox rests on an essentially How does...Ch. 5.2 - In the figure below weve replaced one of the hands...Ch. 5.3 - You whirl a bucket of water around in a vertical...Ch. 5.4 - The figure shows a logging vehicle pulling a...Ch. 5 - Compare the net force on a heavy trunk when its...Ch. 5 - The force of static friction acts only between...Ch. 5 - A jet plane flies at constant speed in a vertical...Ch. 5 - In cross-country skiing, skis should easily glide...Ch. 5 - Why do airplanes bank when turning?Ch. 5 - Why is it easier for a child to stand nearer the...
Ch. 5 - Gravity pulls a satellite toward Earths center. So...Ch. 5 - Explain why a car with ABS brakes can have a...Ch. 5 - A fishing line has a 20-lb breaking strength. Is...Ch. 5 - Two blocks rest on slopes of unequal angles,...Ch. 5 - Youre on a plane undergoing a banked turn, so...Ch. 5 - A backcountry skier weighing 700 N skis down a...Ch. 5 - Two forces, both in the x-y plane, act on a...Ch. 5 - Two forces act on a 3.1-kg mass that undergoes...Ch. 5 - At what angle should you tilt an air table to...Ch. 5 - A skier starts from rest at the top of a 24 slope...Ch. 5 - A tow truck is connected to a 1400-kg car by a...Ch. 5 - Studies of gymnasts show that their high rate of...Ch. 5 - Find the minimum slope angle for which the skier...Ch. 5 - Section 5.2 Multiple Objects Your 12-kg baby...Ch. 5 - If the left-hand slope in Fig. 5.30 makes a 60...Ch. 5 - Suppose the angles shown in Fig. 5.30 are 60 and...Ch. 5 - Two unfortunate climbers, roped together, are...Ch. 5 - Suppose the Moon were held in its orbit not by...Ch. 5 - Show that the force needed to keep a mass m in a...Ch. 5 - A 940-g rock is whirled in a horizontal circle at...Ch. 5 - Youre investigating a subway accident in which a...Ch. 5 - A tetherball on a 1.55-m rope is struck so that it...Ch. 5 - An airplane goes into a turn 3.6 km in radius. If...Ch. 5 - Movers slide a 73-kg file cabinet along a floor...Ch. 5 - A hockey puck is given an initial speed of 14 m/s....Ch. 5 - Starting from rest, a skier slides 100 m down a 28...Ch. 5 - A car moving at 40 km/h negotiates a 130-m-radius...Ch. 5 - Prob. 34PCh. 5 - A block is launched with initial speed 2.2 m/s up...Ch. 5 - In the process of mitosis (cell division), two...Ch. 5 - A 14.6-kg monkey hangs from the middle of a...Ch. 5 - A camper hangs a 26-kg pack between two trees...Ch. 5 - A mass m, undergoes circular motion of radius R on...Ch. 5 - Patients with severe leg breaks arc often placed...Ch. 5 - Riders on the Great American Revolution...Ch. 5 - A 45-kg skater rounds a 5.0-m-radius turn at 6.3...Ch. 5 - When a piano turns, it banks as shown in Fig. 5.35...Ch. 5 - You whirl a bucket of water in a vertical circle...Ch. 5 - A child sleds down an 8.5 slope at constant speed....Ch. 5 - The handle of a 22-kg lawnmower makes a 35 angle...Ch. 5 - Repeal Example 5.4, now assuming that the...Ch. 5 - A bat crashes into the vertical front of an...Ch. 5 - The coefficient of static friction between steel...Ch. 5 - A bug crawls outward from the center of a CD...Ch. 5 - A 310-g paperback book rests on a 1.2-kg textbook....Ch. 5 - Children sled down a41-m-long hill inclined at 25....Ch. 5 - In a typical front-wheel-drive car, 70% of the...Ch. 5 - A police officer investigating an accident...Ch. 5 - A slide inclined at 35 takes bathers into a...Ch. 5 - You try to move a heavy trunk, pushing down and...Ch. 5 - A block is shoved up a 22 slope with an initial...Ch. 5 - At the end of a factory production line, boxes...Ch. 5 - Youre in traffic court, arguing against a speeding...Ch. 5 - A space station is in the shape of a hollow ring,...Ch. 5 - In a loop-the-loop roller coaster, show that a car...Ch. 5 - Find an expression for the minimum frictional...Ch. 5 - An astronaut is training in an earthbound...Ch. 5 - You stand on a spring scale at the north pole and...Ch. 5 - Driving in thick fog on a horizontal road, you...Ch. 5 - A block is projected up an incline at angle . It...Ch. 5 - A 2.1-kg mass is connected to a spring with spring...Ch. 5 - Take k = 0.75 in Example 5.11, and plot the...Ch. 5 - Repeat the preceding problem for an arbitrary...Ch. 5 - Moving through a liquid, an object of mass m...Ch. 5 - Suppose the object in Problem 70 had an initial...Ch. 5 - A block is launched with speed v0 up a slope...Ch. 5 - A florist asks you to make a window display with...Ch. 5 - Youre al the state fair. A sideshow barker claims...Ch. 5 - One of the limiting factors in high-performance...Ch. 5 - Figure 5.39 shows an apparatus used to verify...Ch. 5 - A spiral is an ice-skating position in which the...Ch. 5 - A spiral is an ice-skating position in which the...Ch. 5 - A spiral is an ice-skating position in which the...Ch. 5 - A spiral is an ice-skating position in which the...
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