A vertical spring with a fixed upper end and constant 1.6 N/m has a 400 g object suspended at its lower end. An external force acts numerically on the weight, in newtons equal to F (t) = 2 sin (2t), with a positive downward direction. Initially the weight is 15 cm below the equilibrium position and is thrown with an initial upward velocity of 1.2 m / s. If the damping force is negligible: (a) Write the differential equation associated with the problem and its initial conditions. mx"+Kx = 2sın (2+) X(0) = 0,15m X'(0) = 1,2 m/5 (b) Determine the position of the object at any time t. Solve using Annihilatov By solving the df. equation! method (c) Indicate whether this system enters mechanical resonance. Justify. Ls Compave Peviods
A vertical spring with a fixed upper end and constant 1.6 N/m has a 400 g object suspended at its lower end. An external force acts numerically on the weight, in newtons equal to F (t) = 2 sin (2t), with a positive downward direction. Initially the weight is 15 cm below the equilibrium position and is thrown with an initial upward velocity of 1.2 m / s. If the damping force is negligible: (a) Write the differential equation associated with the problem and its initial conditions. mx"+Kx = 2sın (2+) X(0) = 0,15m X'(0) = 1,2 m/5 (b) Determine the position of the object at any time t. Solve using Annihilatov By solving the df. equation! method (c) Indicate whether this system enters mechanical resonance. Justify. Ls Compave Peviods
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
Related questions
Question
Please all solve the question
Transcribed Image Text:A vertical spring with a fixed upper end and constant 1.6 N/m has a 400 g object suspended at
its lower end. An external force acts numerically on the weight, in newtons equal to F (t) = 2
sin (2t), with a positive downward direction. Initially the weight is 15 cm below the equilibrium
position and is thrown with an initial upward velocity of 1.2 m / s. If the damping force is
negligible:
(a) Write the differential equation associated with the problem and its initial conditions.
mx"+Kx = 2sın (2+)
X(0) = 0,15m
X(0) = 1,2 mb E Solve using
%3D
%3D
(b) Determine the position of the object at any time t.
Annihılatov
By solving the df. equation!
method
(c) Indicate whether this system enters mechanical resonance. Justify.
Ls
Compare Peviods
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 3 steps with 5 images
Recommended textbooks for you
Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education
Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education
Control Systems Engineering
Mechanical Engineering
ISBN:
9781118170519
Author:
Norman S. Nise
Publisher:
WILEY
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:
9781337093347
Author:
Barry J. Goodno, James M. Gere
Publisher:
Cengage Learning
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:
9781118807330
Author:
James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:
WILEY