7.A spring is suspended from the ceiling. It is pulled down and released, and then oscillates up and down. Its length, I centimeters, is modeled by the function / = 33 + 5cos((720t)°), where t is the time in seconds after release. (a) Find the length of the spring after 1 second. (b) Find the minimum length of the spring (c) Find the first time at which the length is 33 cm. (d) What is the period of the motion?
7.A spring is suspended from the ceiling. It is pulled down and released, and then oscillates up and down. Its length, I centimeters, is modeled by the function / = 33 + 5cos((720t)°), where t is the time in seconds after release. (a) Find the length of the spring after 1 second. (b) Find the minimum length of the spring (c) Find the first time at which the length is 33 cm. (d) What is the period of the motion?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:7. A spring is suspended from the ceiling. It is pulled down and released, and then oscillates up
and down. Its length, I centimeters, is modeled by the function l = 33 + 5cos((720t)°), where t
is the time in seconds after release.
(a) Find the length of the spring after 1 second.
(b) Find the minimum length of the spring.
(c) Find the first time at which the length is 33 cm.
(d) What is the period of the motion?
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