Period of Mass-Spring System

• What does a mass-spring system consist of?

  A mass attached to a spring

  
• What does the equation $F =$$-kx$ represent?


  The restoring force in a mass-spring system
• What is the equation for Hooke's Law?

  $F =$$-kx$
• What does the time period of a mass-spring system depend on?

  Mass and spring constant

  
• What is the formula for the time period $T$ of a mass-spring system?


  $T =$$2\pi\sqrt{\frac{m}{k}}$

  
• How does the time period equation apply to mass-spring systems?

  It applies to both horizontal and vertical systems

  
• Does the time period of a mass-spring system depend on gravity?

  No, it does not depend on gravity
• What would be the time period of a mass-spring system on the Moon?

  Same as on Earth
• What effect does a higher spring constant $k$ have on the spring?


  It makes the spring stiffer and shortens the time period
• If a mass of 2.0 kg is attached to a spring with a spring constant of 0.9 N/m, what is the frequency?

  $0.5 \text{ Hz}$
• What are the key components of the mass-spring system's time period equation?

  • $T =$$2\pi\sqrt{\frac{m}{k}}$
  • $T</text{ is the time period (s)}$
  • $m</text{ is the mass (kg)}$
  • $k</text{ is the spring constant (N/m)}$

  
• How are Hooke's Law and the mass-spring system related?

  Both involve the spring constant $k$
• What is the unit of the spring constant $k$?


  N/m
• How does the time period change with varying mass in a mass-spring system?

  Increases with greater mass

  
• How does the time period change with varying spring constant in a mass-spring system?

  Decreases with greater spring constant