Exploring Simple Harmonic Motion

What is the definition of Simple Harmonic Motion (SHM)?

• Motion that occurs in a straight line only

• Simple Harmonic Motion (SHM) is periodic motion where the restoring force is proportional to the displacement from equilibrium.

• Any motion that involves acceleration

• A type of motion that does not repeat

List two characteristics of SHM.

• Energy is not conserved

• Velocity is constant

• Non-periodic motion

• 1) Periodic motion, 2) Acceleration is proportional to displacement.

What is the formula for the displacement in SHM?

• x(t) = A tan(ωt)

• x(t) = A sin(ωt + φ)

• x(t) = A cos(ωt + φ)

• x(t) = A e^(ωt)

How is the period of SHM related to its frequency?

• The period of SHM is equal to its frequency: T = f.

• The period of SHM is directly proportional to its frequency: T = f.

• The period of SHM is inversely related to its frequency: T = 1/f.

• The period of SHM has no relation to its frequency.

What is the equation for the velocity of an object in SHM?

• v(t) = -Aω cos(ωt + φ)

• v(t) = -Aω sin(ωt + φ)

• v(t) = A sin(ωt + φ)

• v(t) = Aω cos(ωt + φ)

Describe the potential energy in SHM.

• PE is maximum at equilibrium and minimum at extremes.

• Potential energy is calculated as PE = mgh.

• Potential energy in SHM is maximum at the extremes and zero at equilibrium, calculated as PE = (1/2)kx^2.

• Potential energy is constant throughout SHM.

What is the total mechanical energy in SHM?

• E = (1/2)kA^2

• E = (1/2)kx^2

• E = (1/2)mv^2

• E = kA

Explain the concept of damping in SHM.

• Damping is the process of adding energy to the system.

• Damping increases the amplitude of oscillations over time.

• Damping in SHM is the process that reduces the amplitude of oscillations over time due to energy loss.

• Damping has no effect on the motion of the oscillating object.

What are the types of damping in SHM?

• Simple harmonic motion

• Underdamping, Critical damping, Overdamping

• Resonance types

• Damping ratio

How does damping affect the amplitude of SHM?

• Damping only affects the frequency of SHM.

• Damping decreases the amplitude of SHM over time.

• Damping increases the amplitude of SHM over time.

• Damping has no effect on the amplitude of SHM.