Chemistry
10th Edition
ISBN: 9781305957404
Author: Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher: Cengage Learning
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![**Learning Goal:**
A bar moves along a path without rotating as shown in Figure 1. The position of point \( B \) can be described by the equation
\[
\mathbf{r_B} = (9 + 5t)\mathbf{i} + (4.5t + 0.4t^2)\mathbf{j}
\]
where the coordinates are in meters when \( t \) is in seconds. The dimensions of the bar are \( L_1 = 0.6 \, m \) and \( L_2 = 1.8 \, m \), and the angle is \( \theta = 60^\circ \).
**Figure Explanation:**
The diagram shows a straight bar oriented diagonally with respect to the horizontal and vertical axes. The bar is labeled with the following:
- \( A \) and \( C \) denote the endpoints of the bar.
- Point \( B \) is marked at an intermediate point along the bar.
- The bar has two segments, \( L_1 \) and \( L_2 \), with lengths of 0.6 meters and 1.8 meters, respectively.
- The angle \( \theta = 60^\circ \) indicates the tilt of the bar with respect to the horizontal axis.
- The path of motion is depicted as a curved line beneath the bar.
- The \( x \) and \( y \) axes are denoted to provide a coordinate reference.](https://content.bartleby.com/qna-images/question/858aa5e1-ece8-4a67-a0a4-477ec4c5e9a9/c31356c2-d7fd-4281-9472-5dd868621d26/8bnwj4_processed.jpeg)
Transcribed Image Text:**Learning Goal:**
A bar moves along a path without rotating as shown in Figure 1. The position of point \( B \) can be described by the equation
\[
\mathbf{r_B} = (9 + 5t)\mathbf{i} + (4.5t + 0.4t^2)\mathbf{j}
\]
where the coordinates are in meters when \( t \) is in seconds. The dimensions of the bar are \( L_1 = 0.6 \, m \) and \( L_2 = 1.8 \, m \), and the angle is \( \theta = 60^\circ \).
**Figure Explanation:**
The diagram shows a straight bar oriented diagonally with respect to the horizontal and vertical axes. The bar is labeled with the following:
- \( A \) and \( C \) denote the endpoints of the bar.
- Point \( B \) is marked at an intermediate point along the bar.
- The bar has two segments, \( L_1 \) and \( L_2 \), with lengths of 0.6 meters and 1.8 meters, respectively.
- The angle \( \theta = 60^\circ \) indicates the tilt of the bar with respect to the horizontal axis.
- The path of motion is depicted as a curved line beneath the bar.
- The \( x \) and \( y \) axes are denoted to provide a coordinate reference.
![**Question:**
What is the \( x \)-component of the velocity of point \( A \) at \( t = 2.1 \, \text{s} \)?
**Instructions:**
Express your answer to three significant figures with appropriate units.
- View Available Hint(s)
**Input Box:**
\( v_{Ax} = \) [Value] [Units]
[Submit Button]
---
**Part B:**
What is the \( y \)-component of the velocity of point \( A \) at \( t = 2.1 \, \text{s} \)?
**Instructions:**
Express your answer to three significant figures with appropriate units.
- View Available Hint(s)
**Input Box:**
\( v_{Ay} = \) [Value] [Units]](https://content.bartleby.com/qna-images/question/858aa5e1-ece8-4a67-a0a4-477ec4c5e9a9/c31356c2-d7fd-4281-9472-5dd868621d26/ctsk57_processed.jpeg)
Transcribed Image Text:**Question:**
What is the \( x \)-component of the velocity of point \( A \) at \( t = 2.1 \, \text{s} \)?
**Instructions:**
Express your answer to three significant figures with appropriate units.
- View Available Hint(s)
**Input Box:**
\( v_{Ax} = \) [Value] [Units]
[Submit Button]
---
**Part B:**
What is the \( y \)-component of the velocity of point \( A \) at \( t = 2.1 \, \text{s} \)?
**Instructions:**
Express your answer to three significant figures with appropriate units.
- View Available Hint(s)
**Input Box:**
\( v_{Ay} = \) [Value] [Units]
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