5.3.1 Simple Harmonic Motion (SHM)

• What type of motion is Simple Harmonic Motion (SHM)?

  Periodic motion
• What does the term "amplitude" refer to in SHM?

  Maximum displacement
• Simple Harmonic Motion is a fundamental concept in physics for understanding oscillations.


  True
• What does the term `ω` represent in the SHM equation?

  Angular frequency
• What does the force constant 'k' represent in Hooke's Law for SHM?

  Restoring force per displacement
• The phase constant in SHM affects the initial position of the object.


  True
• In Hooke's Law, the force constant is denoted by the letter k
• The angular frequency in SHM is measured in radians per second
• The acceleration in SHM is given by the equation `a(t) = -Aω^2 cos(ωt + φ)`, where A is the amplitude
• The restoring force in SHM acts towards the equilibrium position.


  True
• The restoring force in SHM is directly proportional to the displacement.


  True
• The restoring force in SHM acts towards the equilibrium position.

  True
• The equation of motion for SHM is x(t) = A cos(ωt + φ).


  True
• Frequency and period in SHM are inversely related.


  True
• What is the restoring force in a simple pendulum that exhibits SHM?

  Gravity
• In a simple pendulum, the restoring force is provided by gravity acting on the pendulum bob.

  True
• What two parameters does the period of a simple pendulum depend on in SHM?

  Length and gravity
• What does the frequency of oscillation in a mass-spring system depend on?

  Stiffness and mass
• Kinetic energy in SHM is maximum at the equilibrium position.


  True
• What are the two key characteristics of Simple Harmonic Motion (SHM)?

  Periodicity and restoring force
• In SHM, the motion repeats at regular time intervals.


  True
• The restoring force in SHM is proportional to the displacement.


  True
• In SHM, the restoring force is directly proportional to the displacement
• The frequency in SHM is the number of complete oscillations per unit time
• What is the primary condition for a system to exhibit SHM?

  Proportional restoring force
• The phase constant in SHM affects the initial position of the oscillation.

  True
• What is the term for the maximum displacement in Simple Harmonic Motion?

  Amplitude
• Match the feature with its description in SHM:

  Restoring Force ↔️ Proportional to displacement

  Equation of Motion ↔️ x(t) = A cos(ωt + φ)

  Examples ↔️ Mass-spring system
• The equation of motion for SHM involves cosine or sine functions.

  True
• The velocity in SHM is the derivative of the displacement equation.


  True
• Match the term with its definition in SHM:

  Frequency ↔️ Number of oscillations per unit time

  Period ↔️ Time for one complete oscillation
• What is the maximum displacement from equilibrium called in SHM?

  Amplitude
• Match the term with its definition in SHM:

  Restoring Force ↔️ Proportional to displacement

  Equation of Motion ↔️ x(t) = A cos(ωt + φ)

  Examples ↔️ Mass-spring system
• What does the symbol 'ω' represent in SHM?

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

  Radians per second
• What is the unit of frequency in SHM?

  Hertz
• A simple pendulum is a classic example of SHM.


  True
• The equation of motion for the displacement `x(t)` of the pendulum bob is `x(t) = A cos(ωt + φ)`, where `ω` is the angular frequency
• A mass-spring system exhibits Simple Harmonic Motion (SHM) when the restoring force is described by Hooke's Law: F = -kx
• Order the steps to calculate the SHM parameters for a mass-spring system:

  1️⃣ Determine the spring constant `k` and mass `m`

  2️⃣ Calculate the angular frequency `ω = √(k/m)`

  3️⃣ Find the period `T = 2π/ω`