COLLEGE PHYSICS
2nd Edition
ISBN: 9781464196393
Author: Freedman
Publisher: MAC HIGHER
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Chapter 9, Problem 79QAP
To determine
Average shearing stress.
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+4* ) A timber beam consists of three 50 x 200-mm planks fas
Ltened together to form an I-beam 200 mm wide x 300 m
deep, as shown in Fig. P7-4. If the flexural stress at point Ad
the cross section is 7.5 MPa (T), determine
a. The flexural stress at point B of the cross'section
b. The flexural stress at point C of the cross section.
c. The flexural stress at point D of the cross section.
200 mm
A
50 mm
100 mm
200 mm
В
ND
50 mm
25 mm
Figure P7-4
Problems - Stress, Strain, and Young's Modulus
P10-5. Zartan's vine, initially 6 m long, has a Young's modulus of 0.1 GN/m². If Zartan's weight
(too many bananas?) causes a stress of 2.5 x 106 N/m², then
A) determine the vine's change in length and
B) the new length of the vine.
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…
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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- What 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(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_forwardAssume 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_forward
- A 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_forwardA uniform beam of length 7.60 m and weight 4.50 102 N is carried by two workers, Sam and Joe, as shown in Figure P12.6. Determine the force that each person exerts on the beam. Figure P12.6arrow_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_forward
- Consider the sketch of a portion of a roller-coaster track seen in Figure P14.5. Identify places on the track that could be considered possible locations of static equilibrium for a rollercoaster car were the car to be placed at any spot on the track.Which places are candidate locations for stable, unstable, andneutral static equilibrium? FIGURE P14.5arrow_forwardA flexible chain weighing 40.0 N hangs between two hooks located at the same height (Fig. P12.9). At each hook, the tangent to the chain makes an angle = 42.0 with the horizontal. Find (a) the magnitude of the force each hook exerts on the chain and (b) the tension in the chain at its midpoint. Suggestion: For part (b), make a force diagram for half of the chain. Figure P12.9arrow_forwardTwo identical balls are attached to a strong,lightweight rod (Fig. P14.3). The rod is supported by a horizontal pin at the systems center of mass. The balls are at rest. Is thesystem 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 balls slightly? FIGURE P14.3arrow_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_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_forwardBruce Lee was famous for breaking concrete blocks with a single karate chop. From slow-motion video, the speed of his 1.50-kg hand descending on a block was estimated to be 15.0 m/s, which decreased to a speed of 0.500 m/s in the 2.50 103 s during which his hand made contact with and broke through the block. The maximum shear stress a concrete block can be subjected to before breaking is 9.50 105 N/m2. a. What was the force exerted by Lees hand on the block? b. If a typical concrete block broken by Lee was 3.00 cm thick and 15.2 cm wide, what is the shear stress experienced by the concrete block? c. Will the concrete block succumb to Lees karate chop?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