Consider the spring-mass system in an elevator that moves vertically. The natural length of the spring is as shown in the figure below, and at time t-0 the elevator starts moving with prescribed displacement y(t). Suppose that the relative displacement of the mass is x(t), i.e., its displacement with respect to the elevator. Assume mass m can only move vertically, the elevator is massless, and gravity is included. a. Derive the equation of motion of the mass using Newton's 2nd law. b. When is the mass in the elevator in a condition of effective "zero gravity"? k x(t)

Consider the spring-mass system in an elevator that moves vertically. The natural length of the spring is as shown in the figure below, and at time t-0 the elevator starts moving with prescribed displacement y(t). Suppose that the relative displacement of the mass is x(t), i.e., its displacement with respect to the elevator. Assume mass m can only move vertically, the elevator is massless, and gravity is included. a. Derive the equation of motion of the mass using Newton's 2nd law. b. When is the mass in the elevator in a condition of effective "zero gravity"? k x(t)

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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