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

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 18EQ
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hass weighing 20 pounds stretches a spring 6 inches. The mass is initially released from rest from a point 6 inches below the equilibrium position.
(a) Find the position x of the mass at the times t = 1/12, /8, 1/6, 1/4, and 9n/32 s. (Use g = 32 ft/s? for the acceleration due to gravity.)
x(п/12) %3D
ft
x(1/8) =
ft
x(1/6) =
ft
x(п/4) %3
ft
x(9п/32) %3D
ft
(b) What is the velocity of the mass when t = 31/16 s?
ft/s
In which direction is the mass heading at this instant?
O upward
O downward
(c) At what times does the mass pass through the equilibrium position?
, n = 0, 1, 2, . ..
Transcribed Image Text:hass weighing 20 pounds stretches a spring 6 inches. The mass is initially released from rest from a point 6 inches below the equilibrium position. (a) Find the position x of the mass at the times t = 1/12, /8, 1/6, 1/4, and 9n/32 s. (Use g = 32 ft/s? for the acceleration due to gravity.) x(п/12) %3D ft x(1/8) = ft x(1/6) = ft x(п/4) %3 ft x(9п/32) %3D ft (b) What is the velocity of the mass when t = 31/16 s? ft/s In which direction is the mass heading at this instant? O upward O downward (c) At what times does the mass pass through the equilibrium position? , n = 0, 1, 2, . ..
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