COLLEGE PHYSICS
2nd Edition
ISBN: 9781464196393
Author: Freedman
Publisher: MAC HIGHER
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Chapter 9, Problem 36QAP
To determine
The shear strain experienced by a typical athletic shoe in a basketball game?
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If the allowable stress is greater than the actual stress, the material is safe.
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Flying Circus of Physics
The figure shows an approximate plot of stress versus strain for a spider-web thread, out to the point of breaking at a strain of 2.20.
The vertical axis scale is set by a = 0.190 GN/m²,b = 0.300 GN/m², and c = 0.720 GN/m². Assume that the thread has an initial length of
0.720 cm, an initial cross-sectional area of 4.00 x 10-12 m², and (during stretching) a constant volume. The strain on the thread is the
ratio of the change in the thread's length to that initial length, and the stress on the thread is the ratio of the collision force to that
initial cross-sectional area. Assume also that when the single thread snares a flying insect, the insect's kinetic energy is transferred to
the stretching of the thread. (a) How much kinetic energy would put the thread on the verge of breaking? What is the kinetic energy of
(b) a fruit fly of mass 7.50 mg and speed 2.00 m/s and (c) a bumble bee of mass 0.370 g and speed 0.800 m/s? Would (d) the fruit fly and
(e) the bumble…
In patients suffering from asthma, the thickness of the airway walls increases. This thickening results in a reduction of the local shear modulus of the airways by as much as 50% compared to the airways of a healthy person. In a particular person, the local shear modulus is reduced by 21%. Assume that the frictional force due to the air flowing through the airways of this person during an asthma attack increases by a factor of 2.5 over that of a healthy person. Calculate the ratio ? of the shear strain on this person's airway to that of a healthy airway.
?=
Chapter 9 Solutions
COLLEGE PHYSICS
Ch. 9 - Prob. 1QAPCh. 9 - Prob. 2QAPCh. 9 - Prob. 3QAPCh. 9 - Prob. 4QAPCh. 9 - Prob. 5QAPCh. 9 - Prob. 6QAPCh. 9 - Prob. 7QAPCh. 9 - Prob. 8QAPCh. 9 - Prob. 9QAPCh. 9 - Prob. 10QAP
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- 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_forwardTwo 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_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
- (a) Estimate the force with which a karate master strikes a board, assuming the hands speed at the moment of impact is 10.0 m/s and decreases to 1.00 m/s during a 0.002 00-s time interval of contact between the hand and the board. The mass of his hand and arm is 1.00 kg. (b) Estimate the shear stress, assuming this force is exerted on a 1.00-cm-thick pine board that is 10.0 cm wide, (c) If the maximum shear stress a pine board can support before breaking is 3.60 106 N/m2, will the board break?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_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
- By how much does a 65.0kg mountain climber stretch her 0.800cm diameter nylon rope when she hangs 35.0m below a rock outcropping? (For nylon, Y=1.35109Pa. )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_forwardTwo thin rods, one made of steel and the other of aluminium, are joined end to end. Each rod is 2.0m long and has cross-sectional area 9.1mm2 . If a 10,000N tensile force is applied at each end of the combination, find: (a) stress in each rod; (b) strain in each rod; and, (c) elongation of each rod.arrow_forward
- A 5.45-N beam of uniform density is 1.60 m long. The beam is supported at an angle of 35.0 by a cable attached to one end. There is a pin through the other end of the beam (Fig. P14.30). Use the values given in the figure to find the tension in the cable. FIGURE P14.30arrow_forwardIn 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_forwardReview the relationship between stress and strain. Can you find any similarities between the two quantities?arrow_forward
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An Introduction to Stress and Strain; Author: The Efficient Engineer;https://www.youtube.com/watch?v=aQf6Q8t1FQE;License: Standard YouTube License, CC-BY