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College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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
Transcribed Image Text:A mass weighing 20 pounds stretches a spring 6 inches. The mass is initially released from rest from a point 8 inches below the equilibrium position.
(a) Find the position x of the mass at the times t = 1/12, x/8, n/6, n/4, and 97/32 s. (Use g = 32 ft/s2 for the acceleration due to gravity.)
x(1/12) = 0.666
X ft
X(x/8) = 0.666
X ft
x(x/6) = 0.665
X ft
x (π/4)
0.663
X ft
=
x(9л/32)
0.662
X ft
(b) What is the velocity of the mass when t = 3x/16 s?
16
ft/s
3
In which direction is the mass heading at this instant?
upward
downward
(c) At what times does the mass pass through the equilibrium position?
16
4
X , n = 0, 1, 2, .

Transcribed Image Text:A mass weighing 20 pounds stretches a spring 6 inches. The mass is initially released from rest from a point 8 inches below the equilibrium position.
(a) Find the position x of the mass at the times t = n/12, n/8, n/6, a/4, and 97/32 s. (Use g = 32 ft/s? for the acceleration due to gravity.)
X(1/12) =
-0.33
X ft
x(x/8) =
-0.66
X ft
x(л/6) %3
-0.33
X ft
x(T/4) =
0.66
X ft
x(9x/32) =
0.47
X ft
(b) What is the velocity of the mass when t = 37/16 s?
16
ft/s
3
In which direction is the mass heading at this instant?
upward
downward
(c) At what times does the mass pass through the equilibrium position?
16
4
X , n = 0, 1, 2,
+
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