My Learning Cart
?
Categories
Account

A mass-spring system is subjected to a periodic force. If the amplitude of oscil

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

What’s inside this PDF?

Question: A mass-spring system is subjected to a periodic force. If the amplitude of oscillation is 0.1 m and the frequency is 2 Hz, what is the maximum velocity of the mass?

Options:

  1. 0.4 m/s
  2. 0.2 m/s
  3. 0.1 m/s
  4. 0.8 m/s

Correct Answer: 0.4 m/s

Solution: 

Maximum velocity (v_max) = Aω = A(2πf) = 0.1 * (2π * 2) = 0.4 m/s.

A mass-spring system is subjected to a periodic force. If the amplitude of oscil

Practice Questions

Q1
A mass-spring system is subjected to a periodic force. If the amplitude of oscillation is 0.1 m and the frequency is 2 Hz, what is the maximum velocity of the mass?
  1. 0.4 m/s
  2. 0.2 m/s
  3. 0.1 m/s
  4. 0.8 m/s

Questions & Step-by-Step Solutions

A mass-spring system is subjected to a periodic force. If the amplitude of oscillation is 0.1 m and the frequency is 2 Hz, what is the maximum velocity of the mass?
  • Step 1: Identify the given values. The amplitude (A) is 0.1 m and the frequency (f) is 2 Hz.
  • Step 2: Calculate the angular frequency (ω) using the formula ω = 2πf. Substitute f = 2 Hz into the formula.
  • Step 3: Calculate ω: ω = 2π * 2 = 4π radians per second.
  • Step 4: Use the formula for maximum velocity (v_max), which is v_max = Aω.
  • Step 5: Substitute the values of A and ω into the formula: v_max = 0.1 * (4π).
  • Step 6: Calculate v_max: v_max = 0.1 * 4π ≈ 0.4 m/s.
  • Simple Harmonic Motion – The behavior of a mass-spring system under periodic forces, characterized by parameters such as amplitude and frequency.
  • Maximum Velocity in Oscillations – The maximum speed of an oscillating mass, calculated using the formula v_max = Aω, where A is amplitude and ω is angular frequency.
  • Angular Frequency – The rate of oscillation in radians per second, calculated as ω = 2πf, where f is the frequency in hertz.
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