Physics for Scientists and Engineers, Technology Update (No access codes included)
9th Edition
ISBN: 9781305116399
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 7, Problem 7.23P
A cafeteria tray dispenser supports a stack of trays on a shelf that hangs from four identical spiral springs under tension, one near each corner of the shelf. Each tray is rectangular, 45.3 cm by 35.6 cm. 0.450 cm thick, and with mass 580 g. (a) Demonstrate that the top tray in the stack can always be at the same height above the floor, however many trays are in the dispenser, (b) Find the spring constant each spring should have for the dispenser to function in this convenient way. (c) Is any piece of data unnecessary for this determination?
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Truck suspensions often have "helper springs" that engage at high loads. One such arrangement is a leaf spring with a helper coil spring mounted on
the axle, as shown in the figure below. When the main leaf spring is compressed by distance yo, the helper spring engages and then helps to support
any additional load. Suppose the leaf spring constant is 4.90 x 105 N/m, the helper spring constant is 3.60 x 105 N/m, and yo = 0.500 m.
Truck body
Axle
(a) What is the compression of the leaf spring for a load of 4.70 x 105 N?
0.87
Your response differs from the correct answer by more than 10%. Double check your calculations. m
(b) How much work is done in compressing the springs?
0.855
Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. J
Truck suspensions often have "helper springs" that engage at high loads. One such arrangement is a leaf spring with a helper coil spring mounted on the axle, as shown in the figure below. When the main leaf spring is compressed by
distance yo, the helper spring engages and then helps to support any additional load. Suppose the leaf spring constant is 4.80 x 10° N/m, the helper spring constant is 3.80 x 10° N/m, and Y. = 0.500 m.
Truck body
-"Helper"
spring
Main leaf
spring
Axle
(a) What is the compression of the leaf spring for a load of 5.10 x 10° N?
0 81
(b) How much work is done in compressing the springs?
1 34
Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. J
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Truck suspensions often have "helper springs" that engage at high loads. One such arrangement is a leaf spring with a helper coil spring mounted on the axle, as shown in the figure below. When the main leaf spring is compressed by distance y0, the helper spring engages and then helps to support any additional load. Suppose the leaf spring constant is 5.50 ✕ 105 N/m, the helper spring constant is 3.40 ✕ 105 N/m, and
y0 = 0.500 m.
A side view of a truck suspension. The truck body is above the wheel. The main leaf spring spans the horizontal width of the wheel and is attached at both ends to the truck body. The "helper" spring is aligned vertically with its lower end attached to the axle and the upper end unattached. The upper end is a distance y0 from the truck body.
(a) What is the compression of the leaf spring for a load of 5.50 ✕ 105 N? (b) How much work is done in compressing the springs?
Chapter 7 Solutions
Physics for Scientists and Engineers, Technology Update (No access codes included)
Ch. 7 - Prob. 7.1QQCh. 7 - Figure 7.4 shows four situations in which a force...Ch. 7 - Which of the following statements is true about...Ch. 7 - A dart is inserted into a spring-loaded dart gun...Ch. 7 - A dart is inserted into a spring-loaded dart gun...Ch. 7 - Choose the correct answer. The gravitational...Ch. 7 - A ball is connected to a light spring suspended...Ch. 7 - What does the slope of a graph of U(x) versus x...Ch. 7 - Alex and John are loading identical cabinets onto...Ch. 7 - If the net work done by external forces on a...
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