What is the effect of increasing the mass on a spring-mass system?
Increases the period of oscillation.
What is the effect of increasing the spring constant in a spring-mass system?
Decreases the period of oscillation.
What is the effect of increasing the length of a simple pendulum?
Increases the period of oscillation.
What is the effect of increasing gravity on a simple pendulum?
Decreases the period of oscillation.
What happens to the period if the frequency increases?
The period decreases.
What happens to the frequency if the period decreases?
The frequency increases.
What are the key differences between the period of a spring-mass system and a simple pendulum?
Spring-Mass System: $$T = 2pi sqrt{\frac{m}{k}}$$ (depends on mass and spring constant) | Simple Pendulum: $$T = 2pi sqrt{\frac{L}{g}}$$ (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.
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.
