A 12- lb weight (with m 0.375 slugs in fps units) is attached to both a vertically suspended spring that it stretches 6 in. and to a dashpot that provides 3 lb of resistance for every foot per second of velocity. Suppose the weight is pulled down 1 ft below its static equilibrium position and then released from rest at time t = 0. Answer the following quesitons based on this information a) What functions models the position of the mass over time? b) Is the motion underdamped, overdamped, or critically damped? c) If the motion is underdamped describe the motion. What is the frequency, period, time varying amplitude, phase angle, and time lag of motion? Otherwise state how many times the mass passes through its static equilibriur position.

A 12- lb weight (with m 0.375 slugs in fps units) is attached to both a vertically suspended spring that it stretches 6 in. and to a dashpot that provides 3 lb of resistance for every foot per second of velocity. Suppose the weight is pulled down 1 ft below its static equilibrium position and then released from rest at time t = 0. Answer the following quesitons based on this information a) What functions models the position of the mass over time? b) Is the motion underdamped, overdamped, or critically damped? c) If the motion is underdamped describe the motion. What is the frequency, period, time varying amplitude, phase angle, and time lag of motion? Otherwise state how many times the mass passes through its static equilibriur position.

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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