Consider a mass of 500 g placed at the end of a spring with stiffness constant 100 N/m and hanging at st. The mass is displaced downward by 1.0 cm and released from rest. When the motion sets in, a ne-varying force F(t) = cos³ 2t is applied to the spring-mass system. Solve the nonhomogeneous 2nd der differential equation representing the motion. That is, solve for x(t). [Note: Take the downward rection as the negative x-axis.]

Consider a mass of 500 g placed at the end of a spring with stiffness constant 100 N/m and hanging at st. The mass is displaced downward by 1.0 cm and released from rest. When the motion sets in, a ne-varying force F(t) = cos³ 2t is applied to the spring-mass system. Solve the nonhomogeneous 2nd der differential equation representing the motion. That is, solve for x(t). [Note: Take the downward rection as the negative x-axis.]

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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4. Consider a mass of 500 g placed at the end of a spring with stiffness constant 100 N/m and hanging at
rest. The mass is displaced downward by 1.0 cm and released from rest. When the motion sets in, a
time-varying force F(t) = cos³ 2t is applied to the spring-mass system. Solve the nonhomogeneous 2nd
order differential equation representing the motion. That is, solve for x(t). [Note: Take the downward
direction as the negative x-axis.]

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