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3. Get a sheet of graph paper (engineering pad works best) and draw a Minkowski diagram for the stationary frame of reference S: the axes are perpendicular to each other, with the x-axis being the x-coordinate and the y-axis being the ct-coordinate. Draw the walls of the barn as vertical lines, indicating that they are not moving, and set them 15 m apart. Mark the intersection of the x-axis with the left edge of the barn as origin. 4. Now draw the pole such that the front (right tip) of the pole is at origin when ct = 0. Draw the rest of the pole such that the length is what you calculated in question 1.

3. Get a sheet of graph paper (engineering pad works best) and draw a Minkowski diagram for the stationary frame of reference S: the axes are perpendicular to each other, with the x-axis being the x-coordinate and the y-axis being the ct-coordinate. Draw the walls of the barn as vertical lines, indicating that they are not moving, and set them 15 m apart. Mark the intersection of the x-axis with the left edge of the barn as origin. 4. Now draw the pole such that the front (right tip) of the pole is at origin when ct = 0. Draw the rest of the pole such that the length is what you calculated in question 1.

Applications and Investigations in Earth Science (9th Edition)
Applications and Investigations in Earth Science (9th Edition)
9th Edition
ISBN:9780134746241
Author:Edward J. Tarbuck, Frederick K. Lutgens, Dennis G. Tasa
Publisher:Edward J. Tarbuck, Frederick K. Lutgens, Dennis G. Tasa
Chapter1: The Study Of Minerals
Section: Chapter Questions
Problem 1LR
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**Instruction for Drawing a Minkowski Diagram:** 1. **Gathering Materials:** - Get a **sheet of graph paper** (engineering pad is recommended for best results). 2. **Setting Up the Axes:** - You will create a **Minkowski diagram** for the stationary frame of reference S. - The diagram consists of two perpendicular axes: - The **x-axis** represents the spatial coordinate. - The **ct-axis** (y-axis) represents the time coordinate multiplied by the speed of light, indicating the temporal coordinate. 3. **Drawing the Barn:** - Draw the **walls of the barn as vertical lines** on the x-axis. These lines should represent two stationary parallel lines on the graph. - Set the walls **15 meters apart**. This means the distance between the two vertical lines should be marked as 15 meters on the x-axis. - **Origin Point:** Mark the intersection of the x-axis with the left edge of the barn as the origin (x = 0). 4. **Inserting the Pole:** - Now, draw the pole with specific initial conditions: - The **front (right tip)** of the pole should be at the **origin** (x = 0) when **ct = 0**. - Draw the rest of the pole to match the length that you have calculated in question 1. Ensure it aligns properly with the scales on both the x and ct axes. **Note:** The detailed description and construction of the diagram will help visualize events and relationships in special relativity, particularly how different observers perceive times and distances. The spatial and temporal dimensions are illustrated within the context of a stationary reference frame, aiding comprehension of concepts such as length contraction and simultaneous events from various inertial frames.
Transcribed Image Text:**Instruction for Drawing a Minkowski Diagram:** 1. **Gathering Materials:** - Get a **sheet of graph paper** (engineering pad is recommended for best results). 2. **Setting Up the Axes:** - You will create a **Minkowski diagram** for the stationary frame of reference S. - The diagram consists of two perpendicular axes: - The **x-axis** represents the spatial coordinate. - The **ct-axis** (y-axis) represents the time coordinate multiplied by the speed of light, indicating the temporal coordinate. 3. **Drawing the Barn:** - Draw the **walls of the barn as vertical lines** on the x-axis. These lines should represent two stationary parallel lines on the graph. - Set the walls **15 meters apart**. This means the distance between the two vertical lines should be marked as 15 meters on the x-axis. - **Origin Point:** Mark the intersection of the x-axis with the left edge of the barn as the origin (x = 0). 4. **Inserting the Pole:** - Now, draw the pole with specific initial conditions: - The **front (right tip)** of the pole should be at the **origin** (x = 0) when **ct = 0**. - Draw the rest of the pole to match the length that you have calculated in question 1. Ensure it aligns properly with the scales on both the x and ct axes. **Note:** The detailed description and construction of the diagram will help visualize events and relationships in special relativity, particularly how different observers perceive times and distances. The spatial and temporal dimensions are illustrated within the context of a stationary reference frame, aiding comprehension of concepts such as length contraction and simultaneous events from various inertial frames.
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