### Chapter 6: Applications of Friction## Part One: Coefficient of Friction and Angle of Repose### Materials1. **Meter stick** (e.g., a yardstick with a metric scale on one side)2. **Clothes button**3. **Coin**4. **Wooden toothpick**### Procedure1. **Preparation** - Place the meter stick on the floor or a table.2. **Angle Measurement** - Place a coin on the meter stick and slowly tilt the meter stick, increasing the angle slowly. When the coin just starts to slide down the meter stick at a constant speed, measure how high the edge of the meter stick is above the ground or table.3. **Data Entry** - Enter your data into the data table.4. **Repetition** - Perform this experiment 5 times with each object.**Note:** The wooden toothpick should slide lengthwise (i.e., not roll) down the meter stick.---This content is intended to guide students through an experiment designed to understand the coefficient of friction and the angle of repose. Please ensure that you record accurate measurements and follow safety procedures while conducting the experiments. **Data Analysis**1. **Calculate the Mean Height:** Calculate the mean of the height for each object. Enter your result in a data table.2. **Standard Deviation of Height:** Using your measurement data, calculate the standard deviation of the height for each object.3. **Relative Error Calculation:** Calculate the relative error of your measurement of the height for each object.4. **Measure the Mass:** Measure the mass of the coin, a wooden toothpick, and a clothes button (if needed, find the mass of these objects online).5. **Free-Body Diagram and Equation:** Drawing and using the free-body diagram solution method, derive the equation for T for an object of mass m being slid an incline (\(\mu \neq 0\)) at a constant velocity. Set the coordinate system such that the x-axis is parallel to the incline.6. **Pythagorean Theorem for Ramp Base:** Using the Pythagorean Theorem, the length of a meter stick, and the measured height of the edge of the meter stick when each object just started to slide, calculate the base of the ramp for each object.7. **Coefficient of Friction Calculation:** Using the result that the coefficient of friction at the angle of repose equals the ratio of the height of the ramp divided by the base of the ramp, calculate the coefficient of friction for the button, the coin, and the wooden toothpick.8. **Friction Coefficients:** Find on the internet or in a library (e.g., the CRC Handbook of Chemistry and Physics) the range of coefficients of friction expected for wood on wood, plastic on wood, metal on wood, or vice versa.9. **Percent Error Calculation:** Calculate the percent error of your experimental result. *Note: If there are any graphs or diagrams required, explain them with proper annotations and labels for better understanding. Ensure the data table is clear with properly organized headers for mean height, standard deviation, relative error, and mass for each object.*

Let the mass of coin is m , and height h , be angle theta , length of stick is S In traingle ABC…

LICATIONS OF PART ONE: Coefficient of Friction and Angle of Repose MATERIALS 1. The meter stick (e.g.,a yardstick with a metric scale on one side). 2. A clothes button. A coin. 4. A wooden toothpick. PROCEDURE 1. Place the meter stick on the floor or a table. 2. Place a coin on the meter stick and slowly tilt the meter stick, increasing the angle slowly. When the coin just starts to slide down the meter stick at a constant speed, measure how high the edge of the meter stick is above the ground or table. 3. Enter your data to the data table.4 4. Perform this experiment 5 times with each object. Note: The wooden toothpick should slide lengthwi 3.

LICATIONS OF PART ONE: Coefficient of Friction and Angle of Repose MATERIALS 1. The meter stick (e.g.,a yardstick with a metric scale on one side). 2. A clothes button. A coin. 4. A wooden toothpick. PROCEDURE 1. Place the meter stick on the floor or a table. 2. Place a coin on the meter stick and slowly tilt the meter stick, increasing the angle slowly. When the coin just starts to slide down the meter stick at a constant speed, measure how high the edge of the meter stick is above the ground or table. 3. Enter your data to the data table.4 4. Perform this experiment 5 times with each object. Note: The wooden toothpick should slide lengthwi 3.

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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Angular speed, acceleration and displacement

Angular acceleration is defined as the rate of change in angular velocity with respect to time. It has both magnitude and direction. So, it is a vector quantity.

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Before diving into angular position, one should understand the basics of position and its importance along with usage in day-to-day life. When one talks of position, it’s always relative with respect to some other object. For example, position of earth with respect to sun, position of school with respect to house, etc. Angular position is the rotational analogue of linear position.

Question

### Chapter 6: Applications of Friction

## Part One: Coefficient of Friction and Angle of Repose

### Materials
1. **Meter stick** (e.g., a yardstick with a metric scale on one side)
2. **Clothes button**
3. **Coin**
4. **Wooden toothpick**

### Procedure

1. **Preparation**
- Place the meter stick on the floor or a table.

2. **Angle Measurement**
- Place a coin on the meter stick and slowly tilt the meter stick, increasing the angle slowly. When the coin just starts to slide down the meter stick at a constant speed, measure how high the edge of the meter stick is above the ground or table.

3. **Data Entry**
- Enter your data into the data table.

4. **Repetition**
- Perform this experiment 5 times with each object.

**Note:** The wooden toothpick should slide lengthwise (i.e., not roll) down the meter stick.

---

This content is intended to guide students through an experiment designed to understand the coefficient of friction and the angle of repose. Please ensure that you record accurate measurements and follow safety procedures while conducting the experiments.

**Data Analysis**

1. **Calculate the Mean Height:**
Calculate the mean of the height for each object. Enter your result in a data table.

2. **Standard Deviation of Height:**
Using your measurement data, calculate the standard deviation of the height for each object.

3. **Relative Error Calculation:**
Calculate the relative error of your measurement of the height for each object.

4. **Measure the Mass:**
Measure the mass of the coin, a wooden toothpick, and a clothes button (if needed, find the mass of these objects online).

5. **Free-Body Diagram and Equation:**
Drawing and using the free-body diagram solution method, derive the equation for T for an object of mass m being slid an incline (\(\mu \neq 0\)) at a constant velocity. Set the coordinate system such that the x-axis is parallel to the incline.

6. **Pythagorean Theorem for Ramp Base:**
Using the Pythagorean Theorem, the length of a meter stick, and the measured height of the edge of the meter stick when each object just started to slide, calculate the base of the ramp for each object.

7. **Coefficient of Friction Calculation:**
Using the result that the coefficient of friction at the angle of repose equals the ratio of the height of the ramp divided by the base of the ramp, calculate the coefficient of friction for the button, the coin, and the wooden toothpick.

8. **Friction Coefficients:**
Find on the internet or in a library (e.g., the CRC Handbook of Chemistry and Physics) the range of coefficients of friction expected for wood on wood, plastic on wood, metal on wood, or vice versa.

9. **Percent Error Calculation:**
Calculate the percent error of your experimental result.

*Note: If there are any graphs or diagrams required, explain them with proper annotations and labels for better understanding. Ensure the data table is clear with properly organized headers for mean height, standard deviation, relative error, and mass for each object.*

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