Physics Study Question on Rolling Motion

Physics Study Question on Rolling Motion

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Type	Essay
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Description/Paper Instructions

Physics Study Question on Rolling Motion

The analysis of multiple uniform circular cross-sectional area objects is the focus of this video-based 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. Pre-lab 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 cross-sectional area. The sole change is the X-factor 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 cross-sectional areas rolling down an incline without slipping in our lab. Log in to Pivot Interactives and open the lab, Rolling Cylinder Moment of Inertia: Water-Filled 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, Close-up from the Water-Filled 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 half-full 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.

Not sure what you’ll need | a.doc file

 

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