3.7 Simple Harmonic Motion

• In SHM, the acceleration and restoring force are always directed towards the fixed point.


  True
• In SHM, both the restoring force and acceleration are proportional to the object's displacement from a fixed point.


  True
• One condition for SHM is that the restoring force is proportional to the object's displacement
• The angular frequency in SHM is measured in radians per second.


  True
• Simple Harmonic Motion (SHM) is a type of oscillatory motion where an object experiences a restoring force proportional to its displacement
• Match the type of motion with its acceleration and restoring force:

  Constant Velocity ↔️ 0, None

  Constant Acceleration ↔️ Constant, None

  Simple Harmonic Motion (SHM) ↔️ Proportional to Displacement, Proportional to Displacement
• In SHM, the object's displacement oscillates back and forth around a fixed point.


  True
• In SHM, the displacement, velocity, and acceleration are all proportional to the displacement from the fixed point.


  True
• What is the unit of angular frequency in SHM?

  Radians per second
• In SHM, the acceleration is always directed towards the fixed point.


  True
• In the displacement equation for SHM, `A` represents the amplitude
• What is the acceleration of an object in SHM when it reaches its maximum displacement?

  a = - \omega^{2} A</latex>
• In a pendulum, the restoring force is due to the force of gravity
• What is the defining characteristic of SHM in terms of force and displacement?

  Proportional restoring force
• What is the direction of acceleration in SHM relative to the fixed point?

  Towards the fixed point
• The amplitude in SHM represents the maximum displacement
• In SHM, displacement, velocity, and acceleration are all related to time
• Visualizing the motion in SHM can help in solving problems.


  True
• Steps to solve SHM problems:

  1️⃣ Identify the SHM conditions

  2️⃣ Apply the SHM formulas

  3️⃣ Visualize the motion

  4️⃣ Identify the given information

  5️⃣ Substitute and solve
• What is the characteristic vibration of a tuning fork called?

  Pure musical tone
• Match the type of motion with its acceleration and restoring force:

  Constant Velocity ↔️ Acceleration: 0, Restoring Force: None

  Constant Acceleration ↔️ Acceleration: Constant, Restoring Force: None

  Simple Harmonic Motion ↔️ Acceleration: Proportional to Displacement, Restoring Force: Proportional to Displacement
• In SHM, the restoring force and acceleration are always proportional to the object's displacement from the fixed point.


  True
• The angular frequency in SHM is measured in radians per second.


  True
• Match the SHM example with its restoring force:

  Mass-spring system ↔️ Proportional to displacement

  Pendulum ↔️ Gravity
• Match the type of motion with its acceleration and restoring force:

  Constant Velocity ↔️ 0, None

  Constant Acceleration ↔️ Constant, None

  Simple Harmonic Motion (SHM) ↔️ Proportional to Displacement, Proportional to Displacement
• For an object to exhibit SHM, the restoring force must be proportional to its displacement
• In SHM, the acceleration and restoring force are always directed away from the fixed point.

  False
• The displacement equation in SHM is given by $x =$$A \cos(\omega t + \phi)$, where `A` is the amplitude
• What does SHM stand for?

  Simple Harmonic Motion
• The velocity equation in SHM uses the sine function because the velocity is at its maximum when the displacement is at its minimum
• What is the restoring force in a mass-spring system that exhibits SHM?

  Proportional to displacement
• In SHM, the restoring force and acceleration are always in opposite directions.


  True
• For SHM, the restoring force must be proportional to the displacement
• What is the equation for displacement in SHM?

  $x =$$A \cos(\omega t + \phi)$
• What does the term 'v' represent in SHM formulas?

  Velocity
• What is a key characteristic of SHM in all its examples?

  Proportional restoring force
• Identifying the given information in an SHM problem involves extracting values such as amplitude, angular frequency, and time