My Learning Cart
?
Categories
Account

If a damped oscillator has a mass of 5 kg, a spring constant of 20 N/m, and a da

₹0.0
Login to Download
  • 📥 Instant PDF Download
  • ♾ Lifetime Access
  • 🛡 Secure & Original Content

What’s inside this PDF?

Question: If a damped oscillator has a mass of 5 kg, a spring constant of 20 N/m, and a damping coefficient of 1 kg/s, what is the natural frequency of the system?

Options:

  1. 1 Hz
  2. 2 Hz
  3. 3 Hz
  4. 4 Hz

Correct Answer: 2 Hz

Solution: 

Natural frequency (ω_n) = √(k/m) = √(20/5) = √4 = 2 Hz.

If a damped oscillator has a mass of 5 kg, a spring constant of 20 N/m, and a da

Practice Questions

Q1
If a damped oscillator has a mass of 5 kg, a spring constant of 20 N/m, and a damping coefficient of 1 kg/s, what is the natural frequency of the system?
  1. 1 Hz
  2. 2 Hz
  3. 3 Hz
  4. 4 Hz

Questions & Step-by-Step Solutions

If a damped oscillator has a mass of 5 kg, a spring constant of 20 N/m, and a damping coefficient of 1 kg/s, what is the natural frequency of the system?
  • Step 1: Identify the values given in the problem. We have a mass (m) of 5 kg and a spring constant (k) of 20 N/m.
  • Step 2: Write down the formula for natural frequency (ω_n) of a damped oscillator, which is ω_n = √(k/m).
  • Step 3: Substitute the values into the formula. Replace k with 20 and m with 5: ω_n = √(20/5).
  • Step 4: Calculate the value inside the square root. 20 divided by 5 equals 4: ω_n = √4.
  • Step 5: Find the square root of 4, which is 2. Therefore, the natural frequency (ω_n) is 2 Hz.
  • Natural Frequency – The natural frequency of a damped oscillator is determined by the mass and spring constant, independent of the damping coefficient.
  • Damped Oscillator – A damped oscillator experiences a reduction in amplitude over time due to a damping force, but the natural frequency is calculated without considering damping.
Soulshift Feedback ×

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

Not likely Very likely
Home Practice Performance eBooks