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Instructions
Physics Study Question on Rolling Motion
The analysis of multiple uniform circular crosssectional area objects is the focus of this videobased lab. They roll down from the top of a slope without slipping. Using energy conservation, we want to figure out how fast each of them is moving.
1. Prelab Exercises
Let’s see how fast a ring, a solid sphere, and a solid cylinder can roll down a ramp. Who will come out on top in the race? Check out this video.
Click here for more information (Links to an external site.)
What are the physics that underpin it?
Review the idea of rotational inertia first. Check out this video: Click here for more information (Links to an external site.)
Review the following formula for calculating the rotational inertia of a solid cylinder (from Ch10): Icm=12mR2Icm=12mR2. All of the mass of a ring (empty disk) is on the outer surface, at a distance R from the cm. As a result, Icm=mR2Icm=mR2, and so on.
Now that you know the rotational inertias’ values, watch this video to learn why they rotate at various speeds:
Click here for more information (Links to an external site.)
Here’s a more extensive analysis that shows the solid cylinder’s acceleration:
Click here for more information (Links to an external site.)
Rep for the general statement of linear acceleration of typical objects having circular crosssectional area. The sole change is the Xfactor in front of each type of object’s moment of inertia expression: Icm=X(mR2)Icm=X(mR2). acm=gsin1+X,acm=gsin1+X,acm=gsin1+X,acm=gsin1+X,acm=gsin1+X,acm=gsin
where is the inclination angle of the ramp.
We examine video records of several items with circular crosssectional areas rolling down an incline without slipping in our lab. Log in to Pivot Interactives and open the lab, Rolling Cylinder Moment of Inertia: WaterFilled Disk. Watch the disk roll down the incline while watching the video. If we take the time tt for the disk to go a specific distance xx on the ramp from zero initial speed, we get x=12at2x=12at2, from which we may get the experimental value of aa by fitting the xx versus tt curve.
2. The Laboratory
Go to the lab called Moment of Inertia of Rolling Cylinders in Pivot Interactives. Choose Full Disk, Closeup from the WaterFilled Disk menu. To learn more about the disk, watch the first video. This will assist you in determining the disk’s mass distribution and, as a result, the correct formula to employ for its rotational inertia.
At the bottom of the video screen, select Data Shot. Place a scale on the ramp and spin it to match the ramp’s orientation. A timer and a protractor to measure the angle of inclination should also be included. Take a look at the image below. 1st Roll
Play the video and pause it at various points to record the distance xx and time tt the disk has traveled along the ramp. Before the disk reaches the bottom of the ramp, get at least 6 sets of data (x,t)(x,t).
Repeat the process for the next three configurations: frozen full disk, empty disk, and halffull disk.
3. Laboratory Report
This is a formal lab report for a group. It should contain the following elements:
Equipment for the Coverpage (no serial numbers are needed)
Procedures
The ramp’s inclination angle, as well as a set of (x,t)(x,t) values for each of the four variants.
Analysis:
Determine which of the four configurations is/are an example of pure rolling of a rigid object, as defined by the ideas presented above. Plot xx versus tt for each of these cases and fit it into a quadratic function. x=12at2x=12at2x=12at2x=12at2x=12at2x=12at2x=12at2x=12at2 Calculate aexpaexp and compare it to the appropriate value of athath obtained using the formula ath=gsin/(1+X)ath=gsin/(1+X)ath=gsin/(1+X)ath=gsin/(1+X), where g=9.80m/s2g=9.80m/s2. Calculate the percentage inaccuracy.
Find aexpaexpwith the same method as above for the case(s) that do not/do not satisfy the condition of pure rolling of a rigid object, and discuss qualitatively why you think the motion is faster or slower than a corresponding rigid object in pure rolling  for example, compare the cases of a disk full of liquid water vs a frozen disk. Is your qualitative prediction supported by the experimental results?
Possible origins of inaccuracies, etc. are discussed.
Please save and upload the lab report as a PDF or Word document.
RUBRIC 

Excellent Quality 95100%

Introduction
4541 points The background and significance of the problem and a clear statement of the research purpose is provided. The search history is mentioned. 
Literature Support 9184 points The background and significance of the problem and a clear statement of the research purpose is provided. The search history is mentioned. 
Methodology 5853 points Content is wellorganized with headings for each slide and bulleted lists to group related material as needed. Use of font, color, graphics, effects, etc. to enhance readability and presentation content is excellent. Length requirements of 10 slides/pages or less is met. 

Average Score 5085% 
4038 points More depth/detail for the background and significance is needed, or the research detail is not clear. No search history information is provided. 
8376 points Review of relevant theoretical literature is evident, but there is little integration of studies into concepts related to problem. Review is partially focused and organized. Supporting and opposing research are included. Summary of information presented is included. Conclusion may not contain a biblical integration. 
5249 points Content is somewhat organized, but no structure is apparent. The use of font, color, graphics, effects, etc. is occasionally detracting to the presentation content. Length requirements may not be met. 

Poor Quality 045% 
371 points The background and/or significance are missing. No search history information is provided. 
751 points Review of relevant theoretical literature is evident, but there is no integration of studies into concepts related to problem. Review is partially focused and organized. Supporting and opposing research are not included in the summary of information presented. Conclusion does not contain a biblical integration. 
481 points There is no clear or logical organizational structure. No logical sequence is apparent. The use of font, color, graphics, effects etc. is often detracting to the presentation content. Length requirements may not be met 

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Physics Study Question on Rolling Motion 
Physics Study Question on Rolling Motion