University Physics Volume 1
18th Edition
ISBN: 9781938168277
Author: William Moebs, Samuel J. Ling, Jeff Sanny
Publisher: OpenStax - Rice University
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Textbook Question
Chapter 12, Problem 64P
When using a pencil eraser, you exert a vertical force of
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When using a pencil eraser, you exert a vertical force of 4.00 N at a distance of 2.00 cm from the hardwood-eraser joint.
The pencil is 6.00 mm in diameter and is held at an angle of 12.0° to the horizontal. (Enter your answers in m.)
(a) By how much does the wood flex perpendicular to its length?
Xm
(b) How much is it compressed lengthwise?
Xm
What is the compression in the tibia of length l = 30 cm of a person of mass m = 80 kg when standing erect? The tibia bone can be modeled as a hollow circular tube with an internal diameter of di = 2.4 cm and an external diameter of de = 3.5 cm, and having a Young’s modulus Y = 2.0 ×1010 N/m2.
A steel wire of diameter 4.72 mm stretches by 7.98 mm when a 320 -kg piece of equipment is suspended from it. If the wire had a diameter of 4.75 mm instead, by what distance in mm would the equipment stretch the wire?
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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- Two rods, one made of copper and the other of steel, have the same dimensions. If the copper rod stretches by 0.15mm under some stress, how much does the steel rod stretch under the same stress?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 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_forward
- During a walk on a rope, a tightrope walker creates a tension of 3.94 × 103 N in a wire that is stretched between two supporting poles that are 15.0 m apart. The wire has a diameter of 0.50 cm when it is not stretched. When the walker is on the wire in the middle between the poles the wire makes an angle of 5.0° below the horizontal. How much does this tension stretch the steel wire when the walker is this position?arrow_forwardA mine elevator is supported by a single steel cable 2.5 cm in diameter. The total mass of the elevator cage and occupants is 670 kg. By how much does the cable stretch when the elevator hangs by (a) 12 m of cable and (b) 362 m of cable? (Neglect the mass of the cable.)arrow_forwardTwo wires of same length and material but different radii are suspended from a rigid support. Both carry the same load at the lower end. Will in the two wires (a) stress (b) strain and ( c) extension be same or different?arrow_forward
- A tightrope walker stands on a wire that is supported by a pole at each end. The tightrope walker creates a tension of 3.42 ✕ 103 N in a wire making an angle 6.2° below the horizontal with each supporting pole. Calculate how much this tension stretches the steel wire (in cm) if it was originally 16 m long and 0.50 cm in diameter. There is no accompanying image. This is the complete question.arrow_forwardReferring to the figure where a block of Jel-Q is resting on a plate as in (a). It is the pushed tangentially across the top surface with a 0.45 N force as shown in (b). Δx is equal to 6.0 mm relative to the bottom surface. Compute the shear modulus of the Jel-Q.arrow_forwardThe bone breaks if stress greater than 1.50 x 10 8 N/m2 is imposed on it. (a) What is the maximum force that can be exerted on the male humerus in the upper arms if it has a minimum effective diameter of 5.87 cm? (b) If this much force is applied, by how much does the 27.0-cm-long humerus stretched? Assume Young’s modulus for bone is 1.50 x 10 10 Pa.arrow_forward
- When using a pencil eraser, you exert a vertical force of 6.00 N at a distance of 2.00 cm from the hardwood-eraser joint. The pencil is 6.00 mm in diameter and is held at an angle of 20.0° to the horizontal. (a) By how much does the wood flex perpendicular to its length? (b) How much is it compressed lengthwise? This question is from our text, OpenStax University Physics: Volume 1arrow_forwardTo stretch a relaxed biceps muscle 2.5 cm requires a force of 25 N. Find the Young's modulus for the muscle tissue, assuming it to be a uniform cylinder of length 0.24 m and cross-sectional area 47 cm².arrow_forwardA metal wire of diameter D stretches by 0.100 mm when supporting a weight W. If the same-length wire is used to support a weight three times as heavy, what would its diameter have to be (in terms of D) so it still stretches only 0.100 mm?arrow_forward
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