[25] An undamped spring-mass system has a mass that weighs 48 lb and a spring constant0.5 lb/in. The mass is suddenly set in motion at t = 0 by an external force of 3 cos(2t) lb.Assume that the gravitational acceleration is g = 32 ft/s?.Find the position of mass as a function of time t.

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Answered: [25] An undamped spring-mass system has…

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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High-speed elevators function under two limitations: (1) the maximum magnitude of vertical acceleration that a typical human body can experience without discomfort is about 1.2 m/s², and (2) the typical maximum speed attainable is about 8.8 m/s. You board an elevator on a skyscraper's ground floor and are transported 190 m above the ground level in three steps: acceleration of magnitude 1.2 m/s² from rest to 8.8 m/s, followed by constant upward velocity of 8.8 m/s. then deceleration of magnitude 1.2 m/s² from 8.8 m/s to rest. T Part A Determine the elapsed time for each of these 3 stages. Express your answers using two significant figures separated by commas. tace, tconstant, tdec = Submit Part B AFN,acc AFN,constant FN FN Submit Request Answer 2 [5] ΑΣΦ Determine the change in the magnitude of the normal force, expressed as a % of your normal weight during each stage. Express your answers using two significant figures separated by commas. 2 AFN,dec FN Request Answer Part C Complete…
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A man and his parachute weigh 160 lbs and fall from rest to the ground. Before he parachute opens, air resistance (in pounds) is numerically equal to 1/2v (where v is the instantaneous velocity in ft/s) and, from the moment it opens, the resistance is 5/8 v2. If the parachute opens at 5 s, calculate the skydiver's velocity at any second t: a) Before opening the parachute. b) Find the distance he has fallen before the parachute opens. c) After opening the parachute. topic: ORDINARY DIFFERENTIAL EQUATIONS

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[25] An undamped spring-mass system has a mass that weighs 48 lb and a spring constant 0.5 lb/in. The mass is suddenly set in motion at t = 0 by an external force of 3 cos(2t) lb. Assume that the gravitational acceleration is g= 32 ft/s². Find the position of mass as a function of time t.