Period:
* Length: The period of a pendulum (the time it takes for one complete swing) is directly proportional to the square root of its length. Increasing the length will increase the period, making the swings slower.
* Mass: The period of a pendulum is *independent* of its mass. Increasing the mass will not change the period.
Frequency:
* Frequency is the inverse of the period. Since increasing the length increases the period, it will decrease the frequency of the pendulum's swings.
Amplitude:
* Amplitude is the maximum displacement of the pendulum from its equilibrium position.
* Increasing the mass will slightly increase the amplitude (due to the increased inertia).
* Increasing the length will decrease the amplitude (due to the increased potential energy at the highest point).
In Summary:
* Increased length: Longer swings, slower period, lower frequency, smaller amplitude.
* Increased mass: No change in period, slightly larger amplitude.
Important Note: These changes apply to simple pendulums, where air resistance and friction are negligible. In real-world scenarios, these factors can also influence the behavior of the pendulum.
