Gravity Measurement: Rod Pendulum Oscillations & Rotary Motion Sensor by Leybold

In experiment P1.5.1.3, the oscillation of a rod pendulum, a simple physical pendulum, is studied. Using sensor S, the pendulum's oscillation is tracked over time. Angle α(_t_), velocity ω(_t_), and acceleration _a_(_t_) are compared. Additionally, the effective pendulum length is determined from the measured oscillation period _T_. The relationship between period _T_ and amplitude _A_ of oscillation is explored. For small deflections, the pendulum's oscillation is nearly harmonic, with a period independent of amplitude. However, at high deflections, this approximation fails, and the period increases with amplitude. The rod pendulum serves as a reversible pendulum, allowing the determination of Earth's acceleration due to gravity. The pendulum is set up with two pivot points on opposite sides of the rod, and sliding weights influence the period. When properly adjusted, it oscillates with the same period _T_ on both edges. The effective pendulum length _lr_ equals the distance _d_ between the pivot points, and the acceleration due to gravity is calculated using _lr_ and period _T_.

• Experiment P1.5.1.3: Study of Rod Pendulum Oscillation
• Record Pendulum Oscillation Using Rotary Motion Sensor S
• Compare Angle, Velocity, and Acceleration of Pendulum
• Determine Effective Pendulum Length from Measured Period
• Investigate Period Amplitude Dependence
• Small Deflections: Harmonic Oscillation, Period Independent of Amplitude
• High Deflections: Period Increases with Amplitude
• Rod Pendulum Used as Reversible Pendulum
• Calculate Acceleration Due to Gravity
• Set Up Pendulum at Opposite Sides of Rod with Two Pivot Points
• Sliding Weights' Position Affects Period
• Proper Adjustment Ensures Same Period on Both Edges
• Effective Pendulum Length Corresponds to Distance Between Pivot Points
• Calculate Acceleration Due to Gravity Using Effective Length and Period