5.3.2 Energy in SHM

• The period of SHM is the time taken for one complete oscillation.

  True
• Match the motion type with its acceleration and displacement:

  SHM ↔️ Proportional to displacement ||| Sinusoidal

  Uniform Motion ↔️ Constant ||| Linear

  Accelerated Motion ↔️ Constant ||| Parabolic
• Frequency in SHM is measured in Hertz
• The displacement in SHM is the distance from the equilibrium
• What is the relationship between frequency and period in SHM?

  f = 1/T
• What is the unit of frequency in SHM?

  Hertz (Hz)
• Kinetic energy in SHM is maximum at the equilibrium position.


  True
• Order the characteristics of SHM

  1️⃣ Periodic

  2️⃣ Sinusoidal

  3️⃣ Acceleration proportional to displacement
• What is the formula for frequency in SHM?

  f = 1/T
• Match the component of SHM with its definition:

  Equilibrium Position ↔️ Center point of oscillation

  Displacement ↔️ Distance from equilibrium

  Amplitude ↔️ Maximum displacement

  Period ↔️ Time for one cycle
• The acceleration in SHM is given by the equation a = -ω²x
• At the equilibrium position in SHM, the object has maximum kinetic energy and zero potential energy
• The total mechanical energy in SHM remains constant throughout the oscillation.


  True
• What does the symbol \(k\) represent in the total energy equation for SHM?

  Spring constant
• In SHM, the displacement follows a sine or cosine curve
• The equilibrium position in SHM is the point where the net force on the object is zero
• The acceleration in SHM is given by $a =$$- ω²x$, where `ω` is the angular frequency.


  True
• What does the amplitude in SHM represent?

  Maximum displacement
• In SHM, acceleration is proportional to the displacement
• What is the formula for acceleration in SHM?

  a = -ω²x
• What is the total energy in SHM at the extreme positions?

  Maximum potential energy
• Match the type of motion with its acceleration and displacement:

  SHM ↔️ Proportional to displacement, Sinusoidal

  Uniform Motion ↔️ Constant, Linear

  Accelerated Motion ↔️ Constant, Parabolic
• What is the relationship between frequency (f) and period (T) in SHM?

  $f =$$\frac{1}{T}$
• The equilibrium position in SHM is the point where there is no net force acting on the object.


  True
• Potential energy in SHM is maximum at the equilibrium position.

  False
• Arrange the following steps to derive the total mechanical energy equation in SHM:

  1️⃣ Write the equations for potential and kinetic energy

  2️⃣ Determine the energy at maximum displacement

  3️⃣ Determine the energy at equilibrium

  4️⃣ Relate maximum velocity to angular frequency

  5️⃣ Derive the total energy equation
• How does kinetic energy change as an object moves from the equilibrium position to an extreme position in SHM?

  Decreases
• The total energy in SHM is directly proportional to the square of the amplitude.

  True
• Simple Harmonic Motion (SHM) is a type of oscillatory
• The acceleration in SHM is directly proportional to the displacement from equilibrium.


  True
• The amplitude in SHM is the maximum displacement from the equilibrium position.

  True
• What is the equilibrium position in Simple Harmonic Motion (SHM)?

  No net force
• The period in SHM is the time taken for one complete oscillation.


  True
• The displacement in SHM oscillates between -A and +A.

  True
• In SHM, potential energy is maximum at the extreme
• What is the definition of Simple Harmonic Motion (SHM)?

  Acceleration proportional to displacement
• The equilibrium position in SHM is the point where the object naturally rests without any net force.

  True
• The acceleration in SHM is proportional to the displacement
• What is the unit of frequency in SHM?

  Hertz (Hz)
• At which position in SHM is kinetic energy maximum?

  Equilibrium position