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Lab Concept

In Lab 8 your lab grouping will use iii mathematical manakins of a corporeal pendulum in order to determine the acceleration due dryness in the lab room. You will use sticks of increasing complexity to reduce the number of required assumptions and compare the results of the three models exploitation a number-line analysis. In this experiment you are provided with a pendulum consisting of a thin aluminum rod and a flat acrylic plate attached to a PASCO rotational motion sensor. The rotational sensor support read the angular position of the pendulum as it swings. From a DataStudio graph of angular position versus time you put up determine the period of the oscillation. Using this period and other measurements you can cipher for the acceleration due to gravity using the three model compares. Additional measurement devices consist of a measure stick and a triple-beam balance.

2. Theory Tutorial

The least complex model of a pendulum is the simple pendulum. The simple pendulum equation of motion is precise similar to the equation of motion for a spring- potty system that you worked with in lesson 31. Starting with the equation for the period of a simple pendulum (Section 15-6 of HRW), solve for the acceleration due to gravity. This equation is your first model equation.


count 1.



Diagram of a simple pendulum
(Halliday et al., Fundamentals of Physics, 9ed.)

What assumptions about your strong-arm pendulum system are necessary to apply the equation you utilize in your answer to part a. ?

To improve the model equation from part a. you can model the system as a physical pendulum. In this model you account for the distribution of mass about the axis of rotation. Using the equation for the period of a physical pendulum (Section 15-6 of HRW) solve for the acceleration due to gravity. This is your second model equation.


Figure 2. Diagram of a physical pendulum
(Halliday et al., Fundamentals of Physics, 9ed.)

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