COLLEGE PHYSICS
13th Edition
ISBN: 2810014673880
Author: OpenStax
Publisher: OpenStax
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Chapter 25, Problem 5PE
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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 5.05 × 105 N/m, the helper spring constant is 3.50 × 105 N/m, and y = 0.500 m.
Truck body
yo
Main leaf
spring
-"Helper"
spring
Axle
(a) What is the compression of the leaf spring for a load of 6.00 × 105 N?
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?
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Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. J
A spring is attached to an inclined plane as shown in the figure. A block of mass m = 2.71 kg is placed on the incline at a distance d = 0.285 m along the incline from the end of the spring. The block is given a quick shove and moves down the incline with an initial speed v = 0.750 m/s. The
incline angle is = 20.0°, the spring constant is k = 505 N/m, and we can assume the surface is frictionless. By what distance (in m) is the spring compressed when the block momentarily comes to rest?
m
m
0
k
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A block of mass m = 2.50 kg situated on an incline at an angle of
k=100 N/m
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50.0° is connected to a spring of negligible mass having a spring constant of 100 N/m (Fig. P8.54). The pulley and incline are frictionless. The block is released from rest with the spring initially unstretched.
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m
i
(a) How far does it move down the frictionless incline before coming to rest?
m
(b) What is its acceleration at its lowest point?
Magnitude
m/s²
Direction
O up the incline
down the incline
Chapter 25 Solutions
COLLEGE PHYSICS
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