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We often use this equation to model objects in free fall. However, the pendulum is constrained by the rod or string and is not in free fall. Thus we must express the height in terms of θ, the ...Student Exploration: Energy of a Pendulum. Directions: Follow the instructions to go through the simulation. Respond to the questions and prompts in the orange boxes. 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Calculate the value of I based on RKE = ½ Iω 2 , the current energy value (200 J), and the angular velocity ( ω ). The units of I are kg·m 2 . I = Turn on Show moment of inertia to check your answer. 3. Explore: Place the 1-kg mass at each radius and record the moment of inertia.The only force responsible for the oscillating motion of the pendulum is the x -component of the weight, so the restoring force on a pendulum is: F = − m g sin. ⁡. θ. For angles under about 15 ° , we can approximate sin θ as θ and the restoring force simplifies to: F ≈ − m g θ. Thus, simple pendulums are simple harmonic oscillators ...Gather data: Record the potential energy of the pendulum for each of the following sets of values for m, L, and g. Record the height (h) of the pendulum as well. (Because the pendulum’s pivot is 2 m above the ground, the height is equal to 2 meters – L meters.) m (kg) L (m) h (m) g (m/s2) PE (J) 0.5 kg.The potential energy of the pendulum can be modeled off of the basic equation. 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