University Physics Volume 1
18th Edition
ISBN: 9781938168277
Author: William Moebs, Samuel J. Ling, Jeff Sanny
Publisher: OpenStax - Rice University
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Chapter 12, Problem 61P
The bulk modulus of a material is
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The bulk modulus of a material is 1.0 × 1011 N/m2. What fractional change in volume does a piece of this material undergo when it is subjected to a bulk stress increase of 107 N/m2 ? Assume that the force is applied uniformly over the surface.
A solid copper cube has an edge length of 86.9 cm. How much stress must be applied to the cube to reduce the edge length to 86 cm? The bulk modulus of copper is 1.4 x 1011 N/m2.
A material has a shear modulus of 5.0 × 10° N/m². A
shear stress of 1.7 × 107 N/m² is applied to a piece
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Chapter 12 Solutions
University Physics Volume 1
Ch. 12 - Check Your Understanding Solve Example 12.1 by...Ch. 12 - Check your Understanding Explain which one of the...Ch. 12 - Check your Understanding Repeat Example 12.3 using...Ch. 12 - Check Your understanding Repeat ExampIe12.4...Ch. 12 - Check Your Understanding For the situation in...Ch. 12 - Check Your Understanding Solve the problem in...Ch. 12 - Check Your Understanding A 50-kg person stands 1.5...Ch. 12 - Check Your Understanding A 400.0-N sign hangs from...Ch. 12 - Check Your Understanding Find the compressive...Ch. 12 - Check Your Understanding A 2.0-m-long wire...
Ch. 12 - Check Your Understanding If the normal force...Ch. 12 - Check Your Understanding Explain why the concepts...Ch. 12 - What can you say about the velocity of a moving...Ch. 12 - Under what conditions can a rotating body be in...Ch. 12 - What three factors affect the torque created by a...Ch. 12 - Mechanics sometimes put a length of pipe over the...Ch. 12 - If there is only one external force (or toe)...Ch. 12 - If an object is in equilibrium there must be an...Ch. 12 - If an odd number of forces act on an object, the...Ch. 12 - A body moving in a circle with a constant seed is...Ch. 12 - What purpose is served by a long and flexible pole...Ch. 12 - Is it possible to rest a ladder against a rough...Ch. 12 - Show how a spring scale and a simple fulcrum can...Ch. 12 - A painter climbs a ladder. Is the ladder more...Ch. 12 - Note: Unless stated otherwise, the weights of the...Ch. 12 - When a glass bottle full of vinegar warms up, both...Ch. 12 - A thin wire strung between two nails in the wall...Ch. 12 - Review the relationship between stress and strain....Ch. 12 - What type of stress are you applying when you...Ch. 12 - Can compress stress be applied to a rubber band?Ch. 12 - Can Young’s modulus have a negative value? What...Ch. 12 - If a hypothetical material has a negative bulk...Ch. 12 - Discuss how you might measure the bulk modulus of...Ch. 12 - Note: Unless stated othen.ise the weights of the...Ch. 12 - Steel rods are commonly placed in concrete before...Ch. 12 - When tightening a bolt, you push perpendicularly...Ch. 12 - When opening do you push on it perpendicularly...Ch. 12 - Find the magnitude of the tension in each...Ch. 12 - What force must be applied at point P to keep the...Ch. 12 - Is it possible to apply a force at P to keep in...Ch. 12 - Two children push on opposite of a door during...Ch. 12 - A small 1000-kg SUV has a wheel base of 3.0 m. If...Ch. 12 - The uniform seesaw is balanced at its center of...Ch. 12 - A uniform plank rests on a level surface as shown...Ch. 12 - The uniform seesaw shown below is balanced on a...Ch. 12 - In order to get his car out of the mud, a man ties...Ch. 12 - A uniform 40.0-kg scaffold of length 60 m is...Ch. 12 - When the structure shown below is supported at...Ch. 12 - To get up on the roof, a person (mass 70.0 kg)...Ch. 12 - A uniform horizontal strut weighs 400.0 N. One end...Ch. 12 - The forearm shown below is positioned at an angle ...Ch. 12 - The uniform boom shown below weighs 3000N . It is...Ch. 12 - The uniform boom shown below weighs 700N , and the...Ch. 12 - A 12.0m boom, of a crane lifting a 3000kg load is...Ch. 12 - A uniform trapdoor shown below is 1.0m by 1.5m and...Ch. 12 - A 90kg man walks on a sawhorse, as shown below....Ch. 12 - The “lead” in pencils is a graphite composition...Ch. 12 - TV broadcast antennas are the tallest artificial...Ch. 12 - By how much does a 65.0kg mountain climber stretch...Ch. 12 - When water freezes, its volume increases by 9.05 ....Ch. 12 - A farmer making grape juice fills a glass bottle...Ch. 12 - A disk between vertebrae in the spine is subjected...Ch. 12 - A vertebrae is subjected to a shearing force of...Ch. 12 - Calculate the force a piano tuner applies to...Ch. 12 - A 20.0m -tall hollow aluminium flagpole is...Ch. 12 - A copper wire of diameter 1.0cm stretches 1.0 when...Ch. 12 - As an oil well is drilled, each new section of...Ch. 12 - Alarge uniform cylindrical steel rod of density...Ch. 12 - A 90-kg mountain climber bangs from a nylon rope...Ch. 12 - A suspender rod of a suspension bridge is 25.0 m...Ch. 12 - A copper wire is 1.0 m long and it diameter is 1.0...Ch. 12 - A 100-N weight is attached to a free end of a...Ch. 12 - The bulk modulus of a material is 1.01011N/m2 ....Ch. 12 - Normal forces of magnitude 1.0106N are applied...Ch. 12 - During a walk on a rope, a tightrope walker...Ch. 12 - When using a pencil eraser, you exert a vertical...Ch. 12 - Normal forces are applied uniformly over the...Ch. 12 - A uniform rope of cross-sectional area 0.50cm2...Ch. 12 - One end of a vertical metallic wire of length 2.0m...Ch. 12 - An aluminium (=2.7g/cm3) wire is suspended from...Ch. 12 - The coefficient of static friction between the...Ch. 12 - A pencil rests against a corner, as shown below....Ch. 12 - A uniform 4.0m plank weighing 200.0N rests against...Ch. 12 - A 40kg boy jumps from a height of 3.0m , lands on...Ch. 12 - Two thin rods, one made of steel and the other of...Ch. 12 - Two rods, one made of copper and the other of...Ch. 12 - A horizontal force F is applied to a uniform...Ch. 12 - When a motor is set on a pivoted mount seen below,...Ch. 12 - Two wheels A and B with weights w and 2w ,...Ch. 12 - Weights are gradually added to a pan until a wheel...Ch. 12 - In order to lift a shovelful of dirt, a gardener...Ch. 12 - A uniform rod of length 2R and mass M is attached...Ch. 12 - The pole shown below is at a 90.0 bend in a power...
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- Consider a nanotube with a Youngs modulus of 2.130 1012 N/m2 that experiences a tensile stress of 5.3 1010 N/m2. Steel has a Youngs modulus of about 2.000 1011 Pa. How much stress would cause a piece of steel to experience the same strain as the nanotube?arrow_forwardAn aluminium (=2.7g/cm3) wire is suspended from the ceiling and hangs vertically. How long must the wire be before the stress at its upper end reaches the proportionality limit, which is 8.0107N/m2 ?arrow_forwardA copper rod with length 1.4 m and cross-sectional area 2.0 cm2 is fastened to a steel rod of length L and cross-sectional area 1.0 cm2. The compound structure is pulled on each side by two forces of equal magnitude 6.00 104 N (Fig. P14.57). Find the length L of the steel rod if the elongations (L) of the two rods are equal. Use the values Ysteel = 2.0 1011 Pa and YCu = 1.1 1011 Pa. FIGURE P14.57arrow_forward
- Assume Youngs modulus for bone is 1.50 1010 N/m2. The bone breaks if stress greater than 1.50 108 N/m2 is imposed on it. (a) What is the maximum force that can be exerted on the femur bone in the leg if it has a minimum effective diameter of 2.50 cm? (b) If this much force is applied compressively, by how much does the 25.0-cm-long bone shorten?arrow_forwardA steel cable 2.00 m in length and with cross-sectional radius 0.350 mm is used to suspend from the ceiling a 10.0-kg model aircraft that is flying in a horizontal circle with an angular speed of 6.00 rad/s. What is the strain produced in the cable?arrow_forwardA horizontal, rigid bar of negligible weight is fixed against a vertical wall at one end and supported by a vertical string at the other end. The bar has a length of 50.0 cm and is used to support a hanging block of weight 400.0 N from a point 30.0 cm from the wall as shown in Figure P14.81. The string is made from a material with a tensile strength of 1.2 108 N/m2. Determine the largest diameter of the string for which it would still break. FIGURE P14.81arrow_forward
- The lintel of prestressed reinforced concrete in Figure P12.27 is 1.50 m long. The concrete encloses one steel reinforcing rod with cross-sectional area 1.50 cm2. The rod joins two strong end plates. The cross-sectional area of the concrete perpendicular to the rod is 50.0 cm2. Youngs modulus for the concrete is 30.0 109 N/m2. After the concrete cures and the original tension T1 in the rod is released, the concrete is to be under compressive stress 8.00 106 N/m2. (a) By what distance will the rod compress the concrete when the original tension in the rod is released? (b) What is the new tension T2 in the rod? (c) The rod will then be how much longer than its unstressed length? (d) When the concrete was poured, the rod should have been stretched by what extension distance from its unstressed length? (e) Find the required original tension T1 in the rod. Figure P12.27arrow_forwardA brass wire and a steel wire, both of the same length, are extended by 1.0 mm under the same force. Is the cross-sectional radius of the brass wire more, less, or equal to the cross-sectional radius of the steel wire? Explain. Youngs moduli for brass and steel are 1.0 1010 N/m2 and 2.0 1011 N/m2, respectively.arrow_forwardAlarge uniform cylindrical steel rod of density =7.8g/cm3 is 2.0 m long and has a diameter of 5.0 cm. the rod is fastened to a concrete floor with its long axis vertical.what is the normal stress in the rod at the cross-section located at (a)1.0 mfrom its lower end?(b)1.5 m from the lower end?arrow_forward
- In Example 14.3, we found that one of the steel cables supporting an airplane at the Udvar-Hazy Center was under a tension of 9.30 103 N. Assume the cable has a diameter of 2.30 era and an initial length of 8.00 m before the plane is suspended on the cable. How much longer is the cable when the plane is suspended on it?arrow_forwardA disk between vertebrae in the spine is subjected to a shearing force of 600 N. Find its shear deformation, taking it to have the shear modulus of 1109 N /m2. The disk is equivalent to a solid cylinder 0.700 cm high and 4.00 cm in diameter.arrow_forwardWhat Is Static Equilibrium? Problems 13 are grouped. 1. C A ball is attached to a strong, lightweight rod (Fig. P14.1). The rod is supported by a horizontal pin near the top. The ball is at rest. Is the ball in static equilibrium? If not, why not? If so, which type of equilibrium is itstable, unstable, or neutral? Hint: What would happen if you displaced the ball slightly? FIGURE P14.1arrow_forward
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