All Flashcards
What are the key differences between the period of a spring-mass system and a simple pendulum?
Spring-Mass System: (depends on mass and spring constant) | Simple Pendulum: (depends on length and gravity)
Compare the impact of mass on the period of a spring-mass system versus a simple pendulum.
Spring-Mass System: Period increases with mass. | Simple Pendulum: Mass does not affect the period.
Differentiate between the factors affecting the period of a spring-mass system and a simple pendulum.
Spring-Mass System: Affected by mass (m) and spring constant (k). | Simple Pendulum: Affected by length (L) and gravity (g).
Compare the relationship between the period and the spring constant versus the period and the length of the pendulum.
Spring-Mass System: Period is inversely related to the square root of the spring constant. | Simple Pendulum: Period is directly related to the square root of the length.
What is the difference between frequency and period?
Frequency: Number of cycles per second. | Period: Time for one complete cycle.
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.