Simple Harmonic Motion (SHM) Quiz

Simple Harmonic Motion (SHM)

Amplitude

• Maximum displacement of an object from its equilibrium position
• Symbol: A
• Units: meters (m)
• Represents the maximum magnitude of the oscillation

Period

• Time taken by an object to complete one oscillation
• Symbol: T
• Units: seconds (s)
• Represents the time interval between successive oscillations

Frequency

• Number of oscillations per second
• Symbol: f
• Units: hertz (Hz)
• Represents the number of cycles per second
• Related to period by: f = 1/T

Spring Systems

• A common example of SHM
• Consists of a mass attached to a spring
• When the mass is displaced from its equilibrium position, the spring exerts a force proportional to the displacement
• The force causes the mass to oscillate about the equilibrium position

Oscillations

• Repeated back-and-forth motion of an object about its equilibrium position
• Characterized by a constant acceleration towards the equilibrium position
• Can be described by a sinusoidal function
• Examples: pendulum, vibrating string, and spring-mass systems

Simple Harmonic Motion (SHM)

Characteristics

• Maximum displacement of an object from its equilibrium position is called amplitude (A) and is measured in meters (m)
• Time taken by an object to complete one oscillation is called period (T) and is measured in seconds (s)
• Number of oscillations per second is called frequency (f) and is measured in hertz (Hz)
• Frequency is related to period by the equation: f = 1/T

Spring Systems

• A common example of SHM is a spring system, consisting of a mass attached to a spring
• When the mass is displaced from its equilibrium position, the spring exerts a force proportional to the displacement
• The force causes the mass to oscillate about the equilibrium position

Oscillations

• Repeated back-and-forth motion of an object about its equilibrium position
• Characterized by a constant acceleration towards the equilibrium position
• Can be described by a sinusoidal function
• Examples include pendulum, vibrating string, and spring-mass systems

Simple Harmonic Motion (SHM)

• Maximum displacement of an object from its equilibrium position is called amplitude, represented by A and measured in meters.
• Amplitude is the maximum distance from the equilibrium position.

Period (T)

• Time taken by the object to complete one oscillation is called period, represented by T and measured in seconds.
• Period is the time for one complete cycle.

Frequency (f)

• Number of oscillations per second is called frequency, represented by f and measured in hertz.
• Frequency is the reciprocal of the period, mathematically expressed as f = 1/T.

Oscillations

• Repeated back-and-forth motion of an object around its equilibrium position is called oscillation.
• SHM is a type of oscillation where the restoring force is proportional to the displacement.
• Oscillations can be described by sine and cosine functions.

Spring Systems

• A type of SHM system where a spring is stretched or compressed, exhibiting SHM due to the spring's restoring force.
• The spring exerts a restoring force (F) proportional to the displacement (x) from the equilibrium position, following the equation F = -kx.
• The spring constant is represented by k.