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What is the effect of increasing the mass in a spring-mass system on its period?
The period increases.
What happens to the period of a simple pendulum if its length is doubled?
The period increases by a factor of √2.
What is the effect of increasing the spring constant on the period of a spring-mass system?
The period decreases.
What happens to the period of a simple pendulum if the acceleration due to gravity increases?
The period decreases.
What is the effect of increasing frequency on the period?
The period decreases.
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.
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.