Exploring Simple Harmonic Motion

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

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

• Motion that occurs in a straight line only

• A type of motion that does not repeat

• Any motion that involves acceleration

List two characteristics of SHM.

• Force inversely proportional to displacement

• Constant velocity

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

• Non-periodic motion

Write the mathematical equation for the displacement in SHM.

• x(t) = A cos(ωt + φ)

• x(t) = A + ωt

• x(t) = A cos(φ)

• x(t) = A sin(ωt + φ)

What is the significance of the amplitude in SHM?

• The amplitude indicates the direction of motion in SHM.

• The amplitude is the rate of oscillation in SHM.

• The amplitude determines the frequency of SHM.

• The amplitude in SHM signifies the maximum displacement from equilibrium and relates to the energy of the system.

Describe the role of the restoring force in SHM.

• The restoring force only acts when the system is at rest.

• The restoring force in SHM acts to return the system to its equilibrium position, enabling oscillatory motion.

• The restoring force in SHM prevents any motion from occurring.

• The restoring force in SHM is responsible for damping the oscillations.

Give an example of a body that exhibits SHM in nature.

• A simple pendulum

• A rotating wheel

• A swinging door

• A falling apple

What is the period of a simple harmonic oscillator?

• T = 2π√(k/m)

• T = 2π√(m/k)

• T = 2π(m+k)

• T = m/k

Explain the concept of damping in SHM.

• 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 is the process of adding energy to the system.

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

How does damping affect the amplitude of SHM over time?

• Damping causes the amplitude to oscillate randomly over time.

• Damping increases the amplitude of SHM over time.

• Damping has no effect on the amplitude of SHM over time.

• Damping decreases the amplitude of SHM over time.

What is the relationship between frequency and period in SHM?

• Period is constant regardless of frequency changes.

• Frequency and period are inversely related: f = 1/T.

• Frequency and period are directly related: f = T.

• Frequency is the square of the period: f = T^2.