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A mass-spring system oscillates with an amplitude of 0.1 m. What is the maximum

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Question: A mass-spring system oscillates with an amplitude of 0.1 m. What is the maximum speed of the mass if the angular frequency is 20 rad/s?

Options:

  1. 1 m/s
  2. 2 m/s
  3. 3 m/s
  4. 4 m/s

Correct Answer: 2 m/s

Solution: 

The maximum speed v_max is given by v_max = Aω, where A is the amplitude and ω is the angular frequency. Thus, v_max = 0.1 * 20 = 2 m/s.

A mass-spring system oscillates with an amplitude of 0.1 m. What is the maximum

Practice Questions

Q1
A mass-spring system oscillates with an amplitude of 0.1 m. What is the maximum speed of the mass if the angular frequency is 20 rad/s?
  1. 1 m/s
  2. 2 m/s
  3. 3 m/s
  4. 4 m/s

Questions & Step-by-Step Solutions

A mass-spring system oscillates with an amplitude of 0.1 m. What is the maximum speed of the mass if the angular frequency is 20 rad/s?
  • Step 1: Identify the amplitude (A) of the oscillation, which is given as 0.1 m.
  • Step 2: Identify the angular frequency (ω) of the oscillation, which is given as 20 rad/s.
  • Step 3: Use the formula for maximum speed (v_max), which is v_max = A * ω.
  • Step 4: Substitute the values into the formula: v_max = 0.1 m * 20 rad/s.
  • Step 5: Calculate the maximum speed: v_max = 2 m/s.
  • Simple Harmonic Motion – The behavior of oscillating systems, where the maximum speed can be calculated using amplitude and angular frequency.
  • Maximum Speed in Oscillations – The formula v_max = Aω relates the maximum speed of an oscillating mass to its amplitude and angular frequency.
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