University Physics (14th Edition)
14th Edition
ISBN: 9780133969290
Author: Hugh D. Young, Roger A. Freedman
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 15, Problem 15.72P
Holding Up Under Stress. A string or rope will break apart if it is placed under too much tensile stress [see Eq. (11.8)]. Thicker ropes can withstand more tension without breaking because the thicker the rope, the greater the cross-sectional area and the smaller the stress. One type of steel has density 7800 kg/m3 and will break if the tensile stress exceeds 7.0 × 108 N/m2. You want to make a guitar string from 4.0 g of this type of steel. In use, the guitar siring must be able to withstand a tension of 900 N without breaking. Your job is to determine (a) the maximum length and minimum radius the string can have; (b) the highest possible fundamental frequency of standing waves on this string, if the entire length of the string is free to vibrate.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
A string or rope will break apart if it is placed under too much tensile stress. Thicker ropes can
withstand more tension without breaking because the thicker the rope, the greater the cross-sectional
area and the smaller the stress. One type of steel has density 7870 kg/m³ and will break if the
tensile stress exceeds 7.0 x 108 N/m². You want to make a guitar string from a mass of 4.5 g of
this type of steel. In use, the guitar string must be able to withstand a tension of 900 N without
breaking. Your job is the following.
Express your answer in meters.
L =
ΤΟ ΑΣΦ
Submit
Request Answer
Part B
Determine the minimum radius the string can have.
Express your answer in meters.
T=
ΤΟ ΑΣΦ
Submit
Previous Answers Request Answer
▼ Part C
?
Incorrect; Try Again; 5 attempts remaining
m
m
Determine the highest possible fundamental frequency of standing waves on this string, if the entire length of the string is free to vibrate.
Express your answer in hertzes.
ΜΕ ΑΣΦ
f =
Submit
Request Answer…
A 480 mm long thighbone (femur), which is the largest and longest bone in the human body, has a cross sectional area of 7.7 × 10–4 m2. A safety factor of 4 applies and the maximum compressional stress that a bone can withstand is 1.6 × 108 N/m2 before it breaks. Young’s Modulus (E ) of a bone at room temperature is 15 × 109 Pa. How much will it compress to support a weight of 1.2 × 105 N?
Human bones have a Young's modulus of 1.5 x 1010 Pa. The bone breaks if
stress exceeds 1.5 x 10° Pa. If, for example, a femur of length 25.31 cm
experiences this stress compressively, what will be the new length of the
bone?
Answer must be in cm and in two decimal places.
Chapter 15 Solutions
University Physics (14th Edition)
Ch. 15 - Two waves travel on the same string. Is it...Ch. 15 - Under a tension F, it takes 2.00 s for a pulse to...Ch. 15 - What kinds of energy are associated with waves on...Ch. 15 - The amplitude of a wave decreases gradually as the...Ch. 15 - Prob. Q15.5DQCh. 15 - The speed of ocean waves depends on the depth of...Ch. 15 - Is it possible to have a longitudinal wave on a...Ch. 15 - For transverse waves on a string, is the wave...Ch. 15 - The four strings on a violin have different...Ch. 15 - Prob. Q15.10DQ
Ch. 15 - Prob. Q15.11DQCh. 15 - Prob. Q15.12DQCh. 15 - In a transverse wave on a string, the motion of...Ch. 15 - Energy can be transferred along a string by wave...Ch. 15 - Prob. Q15.15DQCh. 15 - If you stretch a rubber band and pluck it, you...Ch. 15 - A musical interval of an octave corresponds to a...Ch. 15 - By touching a string lightly at its center while...Ch. 15 - Prob. Q15.19DQCh. 15 - Violins are short instruments, while cellos and...Ch. 15 - What is the purpose of the frets on a guitar? In...Ch. 15 - The speed of sound in air at 20C is 344 m/s. (a)...Ch. 15 - BIO Audible Sound. Provided the amplitude is...Ch. 15 - Prob. 15.3ECh. 15 - BIO Ultrasound Imaging. Sound having frequencies...Ch. 15 - Prob. 15.5ECh. 15 - A fisherman notices that his boat is moving up and...Ch. 15 - Transverse waves on a siring have wave speed 8.00...Ch. 15 - Prob. 15.8ECh. 15 - Prob. 15.9ECh. 15 - A water wave traveling in a straight line on a...Ch. 15 - A sinusoidal wave is propagating along a stretched...Ch. 15 - CALC Speed of Propagation vs. Particle Speed. (a)...Ch. 15 - A transverse wave on a string has amplitude 0.300...Ch. 15 - Prob. 15.14ECh. 15 - One end of a horizontal rope is attached to a...Ch. 15 - With what tension must a rope with length 2.50 m...Ch. 15 - Prob. 15.17ECh. 15 - A 1.50-m string of weight 0.0125 N is tied to the...Ch. 15 - A thin, 75.0-cm wire has a mass of 16.5 g. One end...Ch. 15 - A heavy rope 6.00 m long and weighing 29.4 N is...Ch. 15 - A simple harmonic oscillator at the point x = 0...Ch. 15 - A piano wire with mass 3.00 g and length 80.0 cm...Ch. 15 - Prob. 15.23ECh. 15 - Prob. 15.24ECh. 15 - A jet plane at takeoff can produce sound of...Ch. 15 - Threshold of Pain. You are investigating the...Ch. 15 - Energy Output. By measurement you determine that...Ch. 15 - A fellow student with a mathematical bent tells...Ch. 15 - At a distance of 7.00 1012 m from a star, the...Ch. 15 - Reflection. A wave pulse on a siring has the...Ch. 15 - Reflection. A wave pulse on a string has the...Ch. 15 - Reflection. A wave pulse on a string has the...Ch. 15 - Suppose that the left-traveling pulse in Exercise...Ch. 15 - Two pulses are moving in opposite directions at...Ch. 15 - Interference of Rectangular Pulses. Figure E15.35...Ch. 15 - CALC Adjacent antinodes of a standing wave on a...Ch. 15 - Prob. 15.37ECh. 15 - Prob. 15.38ECh. 15 - A wire with mass 40.0 g is stretched so that its...Ch. 15 - A piano tuner stretches a steel piano wire with a...Ch. 15 - CALC A thin, taut string tied at both ends and...Ch. 15 - Prob. 15.42ECh. 15 - Prob. 15.43ECh. 15 - Prob. 15.44ECh. 15 - Prob. 15.45ECh. 15 - Prob. 15.46ECh. 15 - Guitar String. One of the 63.5-cm-long strings of...Ch. 15 - A transverse wave on a rope is given by...Ch. 15 - CALC A transverse sine wave with an amplitude of...Ch. 15 - CP A 1750-N irregular beam is hanging horizontally...Ch. 15 - Three pieces of string, each of length L, are...Ch. 15 - Weightless Ant. An ant with mass m is standing...Ch. 15 - You must determine the length of a long, thin wire...Ch. 15 - Music. You are designing a two-string instrument...Ch. 15 - CP A 5.00-m, 0.732-kg wire is used to support two...Ch. 15 - A uniform, 8.40-kg, spherical shell 50.0 cm in...Ch. 15 - For a string stretched between two supports, two...Ch. 15 - A 0.800-m-long string with linear mass density =...Ch. 15 - CP A 1.80-m-long uniform bar that weighs 638 N is...Ch. 15 - A continuous succession of sinusoidal wave pulses...Ch. 15 - A horizontal wire is tied to supports at each end...Ch. 15 - CP A vertical, 1.20-m length of 18-gauge (diameter...Ch. 15 - A sinusoidal transverse wave travels on a string....Ch. 15 - A vibrating string 50.0 cm long is under a tension...Ch. 15 - Clothesline Nodes. Cousin Throckmorton is once...Ch. 15 - A strong string of mass 3.00 g and length 2.20 m...Ch. 15 - A thin string 2.50 m in length is stretched with a...Ch. 15 - CALC A guitar string is vibrating in its...Ch. 15 - A uniform cylindrical steel wire, 55.0 cm long and...Ch. 15 - A string with both ends held fixed is vibrating in...Ch. 15 - CP A large rock that weighs 164.0 N is suspended...Ch. 15 - Holding Up Under Stress. A string or rope will...Ch. 15 - Tuning an Instrument. A musician tunes the...Ch. 15 - Prob. 15.74PCh. 15 - DATA In your physics lab, an oscillator is...Ch. 15 - DATA You are measuring the frequency dependence of...Ch. 15 - CP CALC A deep-sea diver is suspended beneath the...Ch. 15 - BIO WAVES ON VOCAL FOLDS. In the larynx, sound is...Ch. 15 - BIO WAVES ON VOCAL FOLDS. In the larynx, sound is...Ch. 15 - BIO WAVES ON VOCAL FOLDS. In the larynx, sound is...
Additional Science Textbook Solutions
Find more solutions based on key concepts
At what net rate does heat radiate from a 275m2 black roof on a night when the roof’s temperature is 30.0C and ...
College Physics
How long a piece of wire would you need to form a circular are subtending an angle of 1.4 rad, if the radius of...
Essential University Physics: Volume 1 (3rd Edition)
32. What is the electric charge on the calcium ion in calcium chloride, CaCl2?
Conceptual Physical Science (6th Edition)
The pV-diagram of the Carnot cycle.
Sears And Zemansky's University Physics With Modern Physics
8. If it requires energy U to accelerate a rocket from rest to , the energy needed to accelerate that rocket fr...
College Physics (10th Edition)
Predict: which spool will reach the floor first. Explain how your answer is consistent with your extended free-...
Tutorials in Introductory Physics
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Similar questions
- A 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_forwardThe 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 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
- Review. On a day that the temperature is 20.0C, a concrete walk is poured in such a way that the ends of the walk are unable to move. Take Youngs modulus for concrete to be 7.00 109 N/m2 and the compressive strength to be 2.00 109 N/m2. (a) What is the stress in the cement on a hot day of 50.0C? (b) Does the concrete fracture?arrow_forwardA steel rod 55 cm long has a diameter of 30.0 cm. The compressive strength (the maximum stress it can support without breaking) of this steel is 550.0 × 106 N/m2. What is the compression force that would break the rod? Answer in MN (meganewtons)arrow_forwardNylon strips are fused to glass plates. When moderately heated the nylon will become soft while the glass stays approximately rigid. Determine the average shear strain in the nylon due to the load P when the assembly deforms as indicated. 2 mm 3 mm 5 mm 3 mm 5 mm 3 mm 0.197 rad 0.297 rad O 0.397 rad O 0.125 rad O none of the abovearrow_forward
- A 50-N force is applied to a metal rod with a length of 10 m and a cross-sectional area of 1.0 x 10^(−5) m^2. Supposing that the shear modulus of the rod is 2.5 x 10^10 N/m^2, what would be the shear distance?arrow_forwardTable 1 shows the stress-strain data for a new polymeric material rod subjected to an axial load. The last point is observed as the rupture point. Table 1: Stress-strain data for new polymeric material Strain, e Stress, s (Pa) (dimensionless) 32 0.1 59 0.2 75 0.3 86 0.4 104 0.5 120 0.6 129 0.7 125 0.8 114 0.9 97 Develop a best-fit equation for the relationship between stress and strain. Employ Naïve-Gauss elimination method whenever necessary. a) b) Determine the coefficient of determination for the equation. c) Calculate the stress value to the most accurate value at strain value 0.53. d) The yield point is the point on a stress-strain curve that indicates the limit of elastic behaviour and the beginning of plastic behavior. In this case, the yield point occurs at a stress value of 80. Determine the corresponding strain value at the yield point. In any relevant method, use a stopping criterion of 0.05%. e) The ultimate strength is the maximum point on the stress-strain curve. This…arrow_forwardA 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 of the material. What is the resulting shear strain?arrow_forward
- A hollow circular shaft has an external diameter of 120 mm and the internal External diameter. If the stress at inside of the shaft is 36 MPa, due to a torque T applied, find me, the maximum shear stress, and the angle of twist per unit length. Take G=85 MPa. 36 N/mm2 Q 90 mm 90 mm 120 mm SS The 120 mmarrow_forwardA 73-kg snow skier is being pulled up a 19° slope by a steel (Young's modulus 2.0 x 1011 N/m²) cable. The cable has a cross-section area of 8.2 x 105 m². The cable applies a force to the skier, and, in doing so, the cable stretches by 2.6 x 104 m. A frictional force of magnitude 88 N acts on the skis and is directed opposite to the skier's motion. If the skier's acceleration up the slope has a magnitude of 1.4 m/s², what is the original (unstretched) length of the cable? Number i Unitsarrow_forwardA 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.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning
Physics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Physics for Scientists and Engineers with Modern ...PhysicsISBN:9781337553292Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning
Physics for Scientists and Engineers
Physics
ISBN:9781337553278
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Physics for Scientists and Engineers with Modern ...
Physics
ISBN:9781337553292
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
An Introduction to Stress and Strain; Author: The Efficient Engineer;https://www.youtube.com/watch?v=aQf6Q8t1FQE;License: Standard YouTube License, CC-BY