Notice how they don’t let their center of mass move very far from the wall (don’t be fooled by the video title suggesting that the ibex is defying gravity, if it were then it wouldn’t really care where it’s center of mass was located!): Humans can stand on slopes much steep than would be predicted by the rigid object model demonstrated in the first video because the body is not rigid and we can shift our center of mass in the uphill direction as need to ensure it doesn’t move beyond the outermost edge of the downhill foot. Cite any and all sources used to answer this question. Explain why not and suggest a method for deterring the center of mass of a live person. Cite any sources you used to find information on calculating percent difference.ĩ)Do the experimental results provide evidence that the tipping model derived in the first video is valid under the conditions in this experiment? Explain.ġ0) Assuming a uniform density model allowed us to gain experience with the concept of center of mass, but a uniform density model does not actually do well at predicting the center of mass of the human body. Show your work.Įxperimental methods Determining Tipping Angleĥ) Watch the following video and record the maximum tipping angle.ħ) Calculate the tangent of the tipping angle to get the slope.Ĩ) Compare the predicted slope to the experimentally determined slope by calculating a percent difference. Also record the perpendicular distance from center of mass to edge of support base, as discussed in the video.ģ) Use your values above and the expression you completed in question (1) to predict the slope at which the object will tip. Record the result of your spreadsheet calculation for the center of mass height in the space below. The following video demonstrates how to calculate the center of mass of an object with uniform density.Ģ) Calculate the center of mass height according to the method described in the video below. Complete the following expressions according to the result shown in the video. The following video shows how to predict the maximum slope for which an object will not tip.ġ) As see in the previous video, the maximum slope before tipping only depends on the center of mass height (h) and perpendicular distance (d) from the center of mass to the edge of the support base. Apply a proportional static friction model to determine if the object will tip or slip.Īccording to unit 5, weight, static friction, and normal force must be balanced in all directions in order for a body to remain in static equilibrium.Compare the model prediction to the experimental results.Experimentally test the tipping angle of the human shaped test object.Apply a uniform density model to calculate the center of mass of a human-shaped test object.Apply a rigid-solid model to predict the tipping angle of objects on a slope.digital device with spreadsheet program.3 Modeling Center of Mass and Tipping Angle Modeling Center of Mass and Tipping Angle Materials:
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