7.1 Defining Simple Harmonic Motion (SHM)

• In SHM, the position of the object over time follows a sinusoidal curve.
• In SHM, acceleration is proportional to displacement and in the same direction

  False
• Uniform motion has a constant acceleration.


  True
• The position of an object in SHM over time follows a sine or cosine curve.
• Simple Harmonic Motion (SHM) is the motion of an object that experiences a restoring force proportional to its displacement
• What type of restoring force is present in SHM?

  Proportional to displacement
• The acceleration in SHM is proportional to the object's displacement and in the same direction.

  False
• In uniform motion, the acceleration is constant.


  True
• The restoring force in SHM always pulls the object towards its equilibrium position.


  True
• The restoring force in SHM is proportional to the object's displacement from its equilibrium
• What example is used to illustrate the restoring force in SHM?

  Mass attached to a spring
• The restoring force in SHM is constant.

  False
• SHM occurs when the restoring force is proportional to the displacement.

  True
• What is the position of an object in SHM over time described as?

  Sinusoidal
• Match the motion type with its restoring force, acceleration, and position over time:

  SHM ↔️ Proportional to displacement, opposite in direction ||| Proportional to displacement, opposite in direction ||| Sinusoidal

  Uniform Motion ↔️ None ||| Constant ||| Linear

  Accelerated Motion ↔️ Constant ||| Constant ||| Parabolic
• In SHM, the object's acceleration is proportional to its displacement
• Match the motion type with its restoring force, acceleration, and position over time:

  SHM ↔️ Proportional to displacement, opposite in direction ||| Proportional to displacement, opposite in direction ||| Sinusoidal

  Uniform Motion ↔️ None ||| Constant ||| Linear

  Accelerated Motion ↔️ Constant ||| Constant ||| Parabolic
• What is the acceleration in uniform motion?

  Constant
• What is the restoring force in uniform motion?

  None
• What is the shape of the position-time graph in accelerated motion?

  Parabolic
• What does the phase constant φ in the SHM equation determine?

  Initial position
• What is the period of SHM proportional to for a mass-spring system?

  $\sqrt{\frac{m}{k}}$
• Match the motion type with its characteristics:

  SHM ↔️ Proportional restoring force

  Uniform Motion ↔️ No restoring force
• What type of curve does the position of an object in SHM follow over time?

  Sinusoidal
• In SHM, the restoring force is proportional to displacement and opposite in direction
• Understanding the characteristics of SHM is essential for analyzing its period and frequency
• In SHM, the restoring force is proportional to displacement and opposite in direction
• In the SHM equation, 'A' represents the amplitude
• The period in SHM is defined as the time for one complete oscillation
• Springs and pendulums are common examples of SHM
• What does the spring constant (k) in Hooke's Law represent?

  Stiffness of the spring
• The acceleration in SHM is proportional to displacement and opposite in direction.
• The restoring force in SHM is proportional to the object's displacement
• Match the motion type with its restoring force:

  SHM ↔️ Proportional to displacement, opposite in direction

  Uniform Motion ↔️ None

  Accelerated Motion ↔️ Constant
• The position of an object in SHM over time follows a sinusoidal
• In SHM, the object's acceleration is proportional to its displacement
• Periodic motion is a characteristic of SHM.

  True
• What type of motion does an object in SHM experience?

  Periodic
• What is the direction of the restoring force in SHM relative to the object's displacement?

  Opposite
• What is the defining characteristic of periodic motion in SHM?

  Oscillates back and forth