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A mass m is attached to a spring of spring constant k. What is the angular frequ

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Question: A mass m is attached to a spring of spring constant k. What is the angular frequency of the simple harmonic motion?

Options:

  1. √(k/m)
  2. k/m
  3. m/k
  4. 1/√(km)

Correct Answer: √(k/m)

Solution: 

The angular frequency Ο‰ is given by Ο‰ = √(k/m).

A mass m is attached to a spring of spring constant k. What is the angular frequ

Practice Questions

Q1
A mass m is attached to a spring of spring constant k. What is the angular frequency of the simple harmonic motion?
  1. √(k/m)
  2. k/m
  3. m/k
  4. 1/√(km)

Questions & Step-by-Step Solutions

A mass m is attached to a spring of spring constant k. What is the angular frequency of the simple harmonic motion?
  • Step 1: Identify the mass (m) attached to the spring.
  • Step 2: Identify the spring constant (k) of the spring.
  • Step 3: Use the formula for angular frequency, which is Ο‰ = √(k/m).
  • Step 4: Plug in the values of k and m into the formula.
  • Step 5: Calculate the value of Ο‰ to find the angular frequency.
  • Simple Harmonic Motion – The motion of a mass attached to a spring, characterized by periodic oscillations.
  • Angular Frequency – The rate of oscillation in radians per second, calculated using the formula Ο‰ = √(k/m).
  • Spring Constant – A measure of the stiffness of the spring, denoted by k.
  • Mass – The quantity of matter in the object attached to the spring, denoted by m.
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