I need help with my physics lab homework. I notice that  it does not matter if I change the angle, or the mass, or  the radius, the object2 always takes less time to get to the bottom of the inclined plan than the other objects; the object1 always is the second fastest object, the object3 is the third fastest object, and the object4 is the slowest object to get to the bottom. my question is why ?   Please see images to understand what I mean.   Thank you a lot   first image is the worksheet with the infos I have use in the lab. ( ps: object1= solid cylinder, object2=  solid sphere, object3= thin cylindrical shell, object4= thin spherical shell)

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Hello!!

I need help with my physics lab homework. I notice that  it does not matter if I change the angle, or the mass, or  the radius, the object2 always takes less time to get to the bottom of the inclined plan than the other objects; the object1 always is the second fastest object, the object3 is the third fastest object, and the object4 is the slowest object to get to the bottom. my question is why ?

 

Please see images to understand what I mean.

 

Thank you a lot

 

first image is the worksheet with the infos I have use in the lab. ( ps: object1= solid cylinder, object2=  solid sphere, object3= thin cylindrical shell, object4= thin spherical shell)

 

second image is the lab that i am working on

 

**Rotation: Rolling Motion**

This simulation illustrates the physics of rotational motion, specifically focusing on the rolling motion of a spherical object down an incline.

**Interface and Controls:**

- **Run, Pause, and Reset Buttons:** 
  - These buttons control the simulation, allowing you to start, pause, or reset the motion of the object.

- **Incline Settings:**
  - **Incline Angle:** Adjustable angle, currently set to 20°.
  - **Animation Speed:** Determines the speed of the simulation.
  - **Mass:** The mass of the object, adjustable, currently set to 5 units.
  - **Radius:** The radius of the object, adjustable, currently set to 1.8 units.

- **Time Display (t):** 
  - Displays elapsed time, currently at 0.

**Object Options:**

- **Object Selection and Moment of Inertia:**
  - **User Defined Moment of Inertia:** Allows custom settings.
  - **Solid Cylinder**
  - **Solid Sphere**
  - **Thin Cylindrical Shell**
  - **Thin Spherical Shell** (Currently selected)

**Kinetic Energy Display:**

- **KE translational:** Kinetic energy due to translational motion, currently 0 J (joules).
- **KE rotational:** Kinetic energy due to rotational motion, currently 0 J.

**Diagram and Graphical Elements:**

- **Illustration of a Basketball:**
  - Represents the object in motion, depicted rolling down an incline.

- **Incline Angle:**
  - The incline is depicted at an angle (θ) of 20°.

This educational tool is designed to help users understand the dynamics of rolling motion, focusing on the effects of mass, radius, and shape on rotational and translational kinetic energy as the object rolls down an inclined plane.
Transcribed Image Text:**Rotation: Rolling Motion** This simulation illustrates the physics of rotational motion, specifically focusing on the rolling motion of a spherical object down an incline. **Interface and Controls:** - **Run, Pause, and Reset Buttons:** - These buttons control the simulation, allowing you to start, pause, or reset the motion of the object. - **Incline Settings:** - **Incline Angle:** Adjustable angle, currently set to 20°. - **Animation Speed:** Determines the speed of the simulation. - **Mass:** The mass of the object, adjustable, currently set to 5 units. - **Radius:** The radius of the object, adjustable, currently set to 1.8 units. - **Time Display (t):** - Displays elapsed time, currently at 0. **Object Options:** - **Object Selection and Moment of Inertia:** - **User Defined Moment of Inertia:** Allows custom settings. - **Solid Cylinder** - **Solid Sphere** - **Thin Cylindrical Shell** - **Thin Spherical Shell** (Currently selected) **Kinetic Energy Display:** - **KE translational:** Kinetic energy due to translational motion, currently 0 J (joules). - **KE rotational:** Kinetic energy due to rotational motion, currently 0 J. **Diagram and Graphical Elements:** - **Illustration of a Basketball:** - Represents the object in motion, depicted rolling down an incline. - **Incline Angle:** - The incline is depicted at an angle (θ) of 20°. This educational tool is designed to help users understand the dynamics of rolling motion, focusing on the effects of mass, radius, and shape on rotational and translational kinetic energy as the object rolls down an inclined plane.
**Experimental Data Summary**

This dataset presents the results of an experiment varying different parameters, such as angle, mass, radius, and object number, to observe their effects on time. The data is organized into four tables:

### Table 1: Impact of Angle and Mass on Time (Constant Radius)
- **Angle:** 20 degrees
- **Mass:** 5 units
- **Radius:** 1.5 units

| Object | Time  |
|--------|-------|
| 1      | 4.62  |
| 2      | 4.473 |
| 3      | 5.347 |
| 4      | 4.873 |

### Table 2: Impact of Angle Variation on Time (Constant Mass and Radius)
- **Angle:** 15 degrees
- **Mass:** 5 units
- **Radius:** 1.5 units

| Object | Time  |
|--------|-------|
| 1      | 5.25  |
| 2      | 5.047 |
| 3      | 6.061 |
| 4      | 5.533 |

### Table 3: Influence of Increased Mass on Time (Constant Angle and Radius)
- **Angle:** 20 degrees
- **Mass:** 10 units
- **Radius:** 1.5 units

| Object | Time  |
|--------|-------|
| 1      | 4.62  |
| 2      | 4.467 |
| 3      | 5.34  |
| 4      | 4.8   |

### Table 4: Variation of Radius on Time (Constant Angle and Mass)
- **Angle:** 20 degrees
- **Mass:** 5 units
- **Radius:** 1.8 units

| Object | Time  |
|--------|-------|
| 1      | 4.6   |
| 2      | 4.467 |
| 3      | 5.34  |
| 4      | 4.867 |

Each table illustrates how changing one specific parameter, while keeping others constant, affects the time measurement for a set of objects numbered 1 to 4. This design allows for analysis of individual parameter impacts within a controlled experimental setup.
Transcribed Image Text:**Experimental Data Summary** This dataset presents the results of an experiment varying different parameters, such as angle, mass, radius, and object number, to observe their effects on time. The data is organized into four tables: ### Table 1: Impact of Angle and Mass on Time (Constant Radius) - **Angle:** 20 degrees - **Mass:** 5 units - **Radius:** 1.5 units | Object | Time | |--------|-------| | 1 | 4.62 | | 2 | 4.473 | | 3 | 5.347 | | 4 | 4.873 | ### Table 2: Impact of Angle Variation on Time (Constant Mass and Radius) - **Angle:** 15 degrees - **Mass:** 5 units - **Radius:** 1.5 units | Object | Time | |--------|-------| | 1 | 5.25 | | 2 | 5.047 | | 3 | 6.061 | | 4 | 5.533 | ### Table 3: Influence of Increased Mass on Time (Constant Angle and Radius) - **Angle:** 20 degrees - **Mass:** 10 units - **Radius:** 1.5 units | Object | Time | |--------|-------| | 1 | 4.62 | | 2 | 4.467 | | 3 | 5.34 | | 4 | 4.8 | ### Table 4: Variation of Radius on Time (Constant Angle and Mass) - **Angle:** 20 degrees - **Mass:** 5 units - **Radius:** 1.8 units | Object | Time | |--------|-------| | 1 | 4.6 | | 2 | 4.467 | | 3 | 5.34 | | 4 | 4.867 | Each table illustrates how changing one specific parameter, while keeping others constant, affects the time measurement for a set of objects numbered 1 to 4. This design allows for analysis of individual parameter impacts within a controlled experimental setup.
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