Alerts Wishlist Cart

What is the general form of the equation of motion for a damped oscillator?

Practice Questions

Q1
What is the general form of the equation of motion for a damped oscillator?
  1. m d²x/dt² + b dx/dt + kx = 0
  2. m d²x/dt² + kx = 0
  3. m d²x/dt² + b dx/dt = 0
  4. m d²x/dt² + b dx/dt + kx = F(t)

Questions & Step-by-Step Solutions

What is the general form of the equation of motion for a damped oscillator?
  • Step 1: Understand that a damped oscillator is a system that loses energy over time due to friction or resistance.
  • Step 2: Recognize that the motion of the oscillator can be described by an equation.
  • Step 3: The general form of the equation includes a term for the restoring force, which is proportional to the displacement (kx).
  • Step 4: Add a damping term to the equation, which is proportional to the velocity (b dx/dt).
  • Step 5: Combine these terms to write the complete equation of motion for a damped oscillator: m(d²x/dt²) + b(dx/dt) + kx = 0.
No concepts available.
Biology (School & UG)
Biology (School & UG)
Chemistry (School & UG)
Chemistry (School & UG)
Civil Engineering
Civil Engineering
Commerce & Accountancy
Commerce & Accountancy
Computer Science & IT
Computer Science & IT
Current Affairs & GK
Current Affairs & GK
Data Structures & Algorithms
Data Structures & Algorithms
eBooks
eBooks
Electrical & Electronics Engineering
Electrical & Electronics Engineering
English (School)
English (School)
General Aptitude
General Aptitude
General Knowledge
General Knowledge
General Knowledge & Current Affairs
General Knowledge & Current Affairs
Languages & Literature
Languages & Literature
Law & Legal Studies
Law & Legal Studies
Major Competitive Exams
Major Competitive Exams
Mathematics (School)
Mathematics (School)
Mechanical Engineering
Mechanical Engineering
Medical Science
Medical Science
Physics (School & Undergraduate)
Physics (School & Undergraduate)
Quantitative Aptitude & Reasoning
Quantitative Aptitude & Reasoning
Social Science (School)
Social Science (School)
Technical
Technical
Verbal and Reasoning
Verbal and Reasoning
Vocational & Skill Development
Vocational & Skill Development
Soulshift Feedback ×

On a scale of 0–10, how likely are you to recommend The Soulshift Academy?

Not likely Very likely