Physics for Scientists and Engineers with Modern Physics
4th Edition
ISBN: 9780131495081
Author: Douglas C. Giancoli
Publisher: Addison-Wesley
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Textbook Question
Chapter 7, Problem 57P
(II) A mass m is attached to a spring which is held stretched a distance x by a force F (Fig. 7–28), and then released. The spring compresses, pulling the mass. Assuming there is no friction, determine the speed of the mass m when the spring returns: (a) to its normal length (x = 0); (b) to half its original extension (x/2).
FIGURE 7–28
Problem 57.
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(III) A block of mass m is attached to the end of a spring
(spring stiffness constant k), Fig. 6–43. The mass is given
an initial displacement xo from equilibrium, and an initial
speed vp. Ignoring friction and the mass of the spring, use
energy methods to find (a) its maximum speed, and (b) its
maximum stretch from equilibrium, in terms of the given
quantities.
FIGURE 6–43
Problem 44.
A mass m is attached to a spring which is held stretched a
distance x by a force F, Fig. 6–45, and then released.
The spring pulls the mass to the left, towards its natural
equilibrium length. Assuming there is no friction, determine
the speed of the mass m when the spring returns: (a) to its
normal length (x = 0); (b) to half its original extension
(x/2).
m
x= 0
FIGURE 6–45 Problem 75.
. (III) An engineer is designing a spring to be placed at thebottom of an elevator shaft. If the elevator cable breakswhen the elevator is at a height h above the top of thespring, calculate the value that the spring constant k shouldhave so that passengers undergo an acceleration of no morethan 5.0 g when brought to rest. Let M be the total massof the elevator and passengers.
Chapter 7 Solutions
Physics for Scientists and Engineers with Modern Physics
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