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Define Simple Harmonic Motion (SHM).
Oscillations where the restoring force is directly proportional to the displacement from equilibrium.
Define 'Period' (T) in SHM.
The time it takes for one complete oscillation, measured in seconds (s).
Define 'Frequency' (f) in SHM.
The number of complete oscillations per second, measured in Hertz (Hz).
Define 'Angular Frequency' (ω) in SHM.
The rate of change of the angle in radians per second, measured in rad/s.
Define 'Restoring Force'.
The force that brings an object back to its equilibrium position.
Compare the period of a spring-mass system and a simple pendulum.
Spring-mass: (T = 2pisqrt{frac{m}{k}}). Depends on mass and spring constant. | Pendulum: (T = 2pisqrt{frac{l}{g}}). Depends on length and gravity.
What are the differences between frequency and period?
Frequency: Number of oscillations per second. | Period: Time for one complete oscillation.
Compare the factors affecting the period of a spring-mass system and a simple pendulum.
Spring-mass: Mass (m) and spring constant (k). | Pendulum: Length (l) and gravity (g).
How does gravity affect the period of a spring-mass system versus a simple pendulum?
Spring-mass: Gravity does not affect the period. | Simple pendulum: Stronger gravity = shorter period.
What is the relationship between frequency and angular frequency?
Frequency: cycles per second. | Angular frequency: radians per second.
What is the definition of Period (T)?
The time it takes for one complete cycle or oscillation, measured in seconds (s).
What is the definition of Frequency (f)?
The number of cycles or oscillations per second, measured in Hertz (Hz), where 1 Hz = 1 s⁻¹.
Define spring constant (k).
A measure of the stiffness of a spring. Higher k means a stiffer spring.
What is a simple pendulum?
A mass (bob) hanging from a string of length (L), swinging back and forth.
Define Simple Harmonic Motion (SHM).
Motion that oscillates or repeats itself, such as a swing, spring, or pendulum.