Measurement of Time using Periodic Motion and Simple Pendulum Cheat Sheet

Key Definitions

• Periodic Motion: Motion that repeats at regular intervals. ✅

• Simple Pendulum: A mass (bob) attached to a string swinging under the influence of gravity. ✅

• Time Period (T): The time taken for one complete cycle of motion. ✅

Important Concepts

Characteristics of Simple Pendulum

• The time period depends on the length of the pendulum and gravitational acceleration.

• The motion is harmonic, meaning it can be described by sine or cosine functions.

Factors Affecting Time Period

• Length of pendulum (L): Directly proportional to T.

• Acceleration due to gravity (g): Inversely proportional to T.

Key Formulas

• T: Time period (seconds)

• L: Length of pendulum (meters)

• g: Acceleration due to gravity (approximately 9.81 m/s² on Earth) ✅

Common Mistakes to Avoid

Common Mistake: Confusing the effects of mass on the time period; mass does not affect T in a simple pendulum.

Memory Tricks

Tip: "LGT" — Length increases T, Gravity decreases T, Time period is constant for small angles.

Key Diagrams

    |
    |  Bob
    |
    O---   (Pivot)

• O: Pivot point

• L: Length of the pendulum

• Bob: Mass at the end of the pendulum

Note: Ensure angles are small for the simple pendulum formula to hold true.