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QUESTION 10 A8 pound weight stretches a spring 4 feet. Assume the surrounding medium offers a damping force of 4 times the instantaneous velocity. The mass is driven by an external force of 25 cos t. The correct differential equation for the position, x(t), of the mass at a function of time, t,is (Use g 32ft/s ) Select the correct answer

QUESTION 10 A8 pound weight stretches a spring 4 feet. Assume the surrounding medium offers a damping force of 4 times the instantaneous velocity. The mass is driven by an external force of 25 cos t. The correct differential equation for the position, x(t), of the mass at a function of time, t,is (Use g 32ft/s ) Select the correct answer

Advanced Engineering Mathematics
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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QUESTION 10 A8 pound weight stretches a spring 4 feet. Assume the surrounding medium offers a damping force of 4 times the instantaneous velocity. The mass is driven by an external force of 25 cos t. The correct differential equation for the position, x(t), of the mass at a function of time, t,is (Use g 32ft/s) Select the correct answer O a. d'x dx +. +4x = 25cost dr dr O b. dx dr dx +4- +4x = 25 cos t dr O. 1 d'x dx +4 +2x=25cost 4 dr dr O d. 1 dx 2 dr? dx +4x=25cosr +4 dr O e dx dr 1 dx 4 dr + 4x = 25 cos I
Transcribed Image Text:QUESTION 10 A8 pound weight stretches a spring 4 feet. Assume the surrounding medium offers a damping force of 4 times the instantaneous velocity. The mass is driven by an external force of 25 cos t. The correct differential equation for the position, x(t), of the mass at a function of time, t,is (Use g 32ft/s) Select the correct answer O a. d'x dx +. +4x = 25cost dr dr O b. dx dr dx +4- +4x = 25 cos t dr O. 1 d'x dx +4 +2x=25cost 4 dr dr O d. 1 dx 2 dr? dx +4x=25cosr +4 dr O e dx dr 1 dx 4 dr + 4x = 25 cos I
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