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 гB = (95t)i + (4.5t +0.4t²)j, where the coordinates are in meters when t is in seconds. The dimensions of the bar are L₁ = 0.6 m and L2 = 1.8 m, and the angle is 0 = 60°. Figure A L2 B A Li C y < 1 of 1 > X

Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
Section: Chapter Questions
Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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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.
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]
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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