EBK PHYSICS FOR SCIENTISTS & ENGINEERS
5th Edition
ISBN: 9780134296074
Author: GIANCOLI
Publisher: VST
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Textbook Question
Chapter 12, Problem 88GP
A uniform sphere of weight mg and radius r0 is tethered to a wall by a rope of length ℓ. The rope is tied to the wall a distance h above the contact point of the sphere, as shown in Fig. 12–99. The rope makes an angle θ with respect to the wall and is not in line with the ball’s center. The coefficient of static friction between the wall and sphere is μ. (a) Determine the value of the frictional force on the sphere due to the wall. [Hint: A wise choice of axis will make this calculation easy.] (b) Suppose the sphere is just on the verge of slipping. Derive an expression the μ in terms of h and θ.
FIGURE 12–99
Problem 93.
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Students have asked these similar questions
Two identical, uniform beams are symmetrically set up
against each other (Fig. 9–87) on a floor
with which they have a coefficient of fric-
tion µs = 0.50. What is the minimum
angle the beams can make with the
floor and still not fall?
FIGURE 9-87
Problem 71.
A cube of side l rests on a rough floor. It is subjected to a
steady horizontal pull F, exerted a distance h above the floor
as shown in Fig. 9-79. As Fis increased, the block will either
begin to slide, or begin to tip over.
Determine the coefficient of static
friction us so that (a) the block
begins to slide rather than tip;
(b) the block begins to tip.
[Hint: Where will the normal
force on the block act if it tips?]
h
FIGURE 9–79
Problem 60.
(II) An iron bolt is used to connect two iron plates together. The bolt must withstand shear forces up to about 3300 N. Calculate the minimum diameter for the bolt, based on a safety factor of 7.0.
Chapter 12 Solutions
EBK PHYSICS FOR SCIENTISTS & ENGINEERS
Ch. 12.1 - Prob. 1AECh. 12.2 - We did not need to use the force equation to solve...Ch. 12.2 - CHAPTER-OPENING QUESTIONGuess Now! The diving...Ch. 12.2 - Why is it reasonable to ignore friction along the...Ch. 12.3 - Prob. 1EECh. 12.5 - Two steel wires have the same length and are under...Ch. 12 - Describe several situations in which an object is...Ch. 12 - A bungee jumper momentarily comes to rest at the...Ch. 12 - Prob. 3QCh. 12 - Your doctors scale has arms on which weights slide...
Ch. 12 - A ground retaining wall is shown in Fig. 1240a....Ch. 12 - Can the sum of the torques on an object be zero...Ch. 12 - A ladder, leaning against a wall, makes a 60 angle...Ch. 12 - Prob. 8QCh. 12 - Prob. 9QCh. 12 - Place yourself facing the edge of an open door....Ch. 12 - Prob. 11QCh. 12 - Prob. 12QCh. 12 - Prob. 13QCh. 12 - Which of the configurations of brick, (a) or (b)...Ch. 12 - Is the Youngs modulus for a bungee cord smaller or...Ch. 12 - Examine how a pair of scissors or shears cuts...Ch. 12 - Materials such as ordinary concrete and stone are...Ch. 12 - Prob. 1MCQCh. 12 - Prob. 2MCQCh. 12 - Prob. 3MCQCh. 12 - Prob. 4MCQCh. 12 - Prob. 5MCQCh. 12 - Prob. 6MCQCh. 12 - Prob. 7MCQCh. 12 - Prob. 8MCQCh. 12 - Prob. 9MCQCh. 12 - Prob. 10MCQCh. 12 - Prob. 11MCQCh. 12 - (I) A tower crane (Fig. 1248a) must always be...Ch. 12 - Prob. 2PCh. 12 - Prob. 3PCh. 12 - Prob. 4PCh. 12 - (II) Calculate the forces FA and FB that the...Ch. 12 - Prob. 6PCh. 12 - Prob. 7PCh. 12 - Prob. 8PCh. 12 - Prob. 9PCh. 12 - (II) Find the tension in the two wires supporting...Ch. 12 - Prob. 12PCh. 12 - (II) The force required to pull the cork out of...Ch. 12 - Prob. 14PCh. 12 - (II) Three children are trying to balance on a...Ch. 12 - Prob. 16PCh. 12 - (II) A traffic light hangs from a pole as shown in...Ch. 12 - Prob. 18PCh. 12 - Prob. 19PCh. 12 - Prob. 20PCh. 12 - Prob. 21PCh. 12 - Prob. 22PCh. 12 - Prob. 23PCh. 12 - (III) A door 2.30 m high and 1.30 m wide has a...Ch. 12 - Prob. 25PCh. 12 - Prob. 26PCh. 12 - Prob. 27PCh. 12 - (III) A uniform ladder of mass m and length leans...Ch. 12 - (III) A refrigerator is approximately a uniform...Ch. 12 - (III) A 56.0-kg person stands 2.0 m from the...Ch. 12 - Prob. 31PCh. 12 - Prob. 33PCh. 12 - Prob. 34PCh. 12 - Prob. 35PCh. 12 - Prob. 36PCh. 12 - Prob. 37PCh. 12 - Prob. 38PCh. 12 - Prob. 39PCh. 12 - Prob. 40PCh. 12 - (I) A sign (mass 1700 kg) hangs from the end of a...Ch. 12 - Prob. 42PCh. 12 - (II) How much pressure is needed to compress the...Ch. 12 - (II) At depths of 2000 m in the sea, the pressure...Ch. 12 - Prob. 45PCh. 12 - (I) The femur bone in the human leg has a minimum...Ch. 12 - Prob. 47PCh. 12 - (II) (a) What is the maximum tension possible in a...Ch. 12 - (II) If a compressive force of 3.3 104 N is...Ch. 12 - Prob. 50PCh. 12 - (II) Assume the supports of the uniform cantilever...Ch. 12 - Prob. 52PCh. 12 - Prob. 53PCh. 12 - Prob. 54PCh. 12 - Prob. 55PCh. 12 - (III) The truss shown in Fig. 1272 supports a...Ch. 12 - (II) How high must a pointed arch be if it is to...Ch. 12 - Prob. 60GPCh. 12 - A cube of side l rests on a rough floor. It is...Ch. 12 - Prob. 62GPCh. 12 - When a wood shelf of mass 6.6 kg is fastened...Ch. 12 - Prob. 64GPCh. 12 - Prob. 67GPCh. 12 - The mobile in Fig. 1274 is in equilibrium. Object...Ch. 12 - A 65.0-kg painter is on a uniform 25-kg scaffold...Ch. 12 - Prob. 70GPCh. 12 - Prob. 73GPCh. 12 - Prob. 74GPCh. 12 - Prob. 76GPCh. 12 - Prob. 77GPCh. 12 - Prob. 78GPCh. 12 - Prob. 79GPCh. 12 - Parachutists whose chutes have failed to open have...Ch. 12 - Prob. 81GPCh. 12 - One rod of the square frame shown in Fig. 1295...Ch. 12 - A uniform beam of mass M and length l is mounted...Ch. 12 - Prob. 84GPCh. 12 - A uniform 6.0-m-long ladder of mass 16.0 kg leans...Ch. 12 - In Fig. 1279, consider the right-hand...Ch. 12 - Assume that a single-span suspension bridge such...Ch. 12 - A uniform sphere of weight mg and radius r0 is...Ch. 12 - A uniform ladder of mass m and length leans at an...Ch. 12 - Prob. 90GPCh. 12 - Prob. 91GPCh. 12 - A 23-kg sphere rests between two smooth planes as...Ch. 12 - Prob. 93GPCh. 12 - Prob. 94GPCh. 12 - Prob. 95GP
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- (III) A door 2.30 m high and 1.30 m wide has a mass of 13.0 kg. A hinge 0.40 m from the top and another hinge 0.40 m from the bottom each support half the door's weight (Fig. 9–69). Assume that the center of gravity is at the geometrical center of the door, and determine 40 cm 2.30 m the horizontal and vertical force components exerted by each hinge on the door. -1.30 m- F40 cm FIGURE 9-69 Problem 29.arrow_forwardThe length of wire increases by 9 mm when weight of 2.5 kg is hung from the free end of wire. If all conditions are kept the same and the radius of wire is made thrice the original radius, find the increase in length.arrow_forward(III) A uniform ladder of mass m and length l leans at an angle 0 against a frictionless wall, Fig. 9–70. If the coefficient of static friction between the ladder and the ground is µs, determine a formula for the minimum angle at which the ladder will not slip. FIGURE 9-70 Problem 30.arrow_forward
- (I) A sign (mass 1700 kg) hangs from the bottom end of avertical steel girder with a cross-sectional area of 0.012 m2(a) What is the stress within the girder? (b) What is thestrain on the girder? (c) If the girder is 9.50 m long, howmuch is it lengthened? (Ignore the mass of the girder itself.)arrow_forward51 A bowler holds a bowling ball (M =7.6 kg) in the palm of his hand (Fig. 12-52). His upper arm is vertical; his lower arm (1.9 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?arrow_forward(24) Assuming the lower arm has a mass of 2.8 kg and its CG is 12 cm from the elbow- joint pivot, how much force must the extensor muscle in the upper arm exert on the lower arm to hold a 7.5 kg shot put (Fig. 12-7)? 11) 2.5 cm F M A) 100 N 30.0 cm- Elbow joint B) 750 N C) 1500 N D) 500 N E) 1000 Narrow_forward
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