A vibrating system with a mass of 12 kg and a sprinf with a stiffness of 120 N/m. The mass is started in motion from equilibrium position with an initial velocity of 2 m/s in the upward direction and with an applied external force F(t) = 7sint. While in motion the mass is subjected to damping with damping constant of 72 kg/s. - Find the position of the mass (natural response) after 3s. - Find the velocity of the mass (natural response) after 3s. - Find the position of the mass (forced response) after 3s.
A vibrating system with a mass of 12 kg and a sprinf with a stiffness of 120 N/m. The mass is started in motion from equilibrium position with an initial velocity of 2 m/s in the upward direction and with an applied external force F(t) = 7sint. While in motion the mass is subjected to damping with damping constant of 72 kg/s. - Find the position of the mass (natural response) after 3s. - Find the velocity of the mass (natural response) after 3s. - Find the position of the mass (forced response) after 3s.
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
A vibrating system with a mass of 12 kg and a sprinf with a stiffness of 120 N/m. The mass is started in motion from equilibrium position with an initial velocity of 2 m/s in the upward direction and with an applied external force F(t) = 7sint. While in motion the mass is subjected to damping with damping constant of 72 kg/s.
- Find the position of the mass (natural response) after 3s.
- Find the velocity of the mass (natural response) after 3s.
- Find the position of the mass (forced response) after 3s.
- Find the velocity of the mass (forced response) after 3s.
- Find the position of the mass (complete response) after 2s.
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
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.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