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The mechanism is used on a machine for the manufacturing of a wire product. Because of the rotational motion of link AB and the sliding of block F, the segmental gear lever DE undergoes general plane motion. AB is rotating at ωAB = 5 rad/s. (Figure 1)

The mechanism is used on a machine for the manufacturing of a wire product. Because of the rotational motion of link AB and the sliding of block F, the segmental gear lever DE undergoes general plane motion. AB is rotating at ωAB = 5 rad/s. (Figure 1)

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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The mechanism is used on a machine for the manufacturing of a wire product. Because of the rotational motion of link AB and the sliding of block F, the segmental gear lever DE undergoes general plane motion. AB is rotating at ωAB = 5 rad/s. (Figure 1)

### Diagram Explanation This diagram illustrates a mechanical linkage consisting of gears and arms connected at various points. Here’s a detailed description: 1. **Gears and Arms:** - The system includes two gears, labeled \( D \) and \( C \). - Gear \( D \) and Gear \( C \) are meshed together, implying that rotation in one will affect the other. - There is a horizontal arm connecting point \( C \) to point \( F \), with a length of 20 mm between the gears and an additional 50 mm extending to \( F \). 2. **Angles and Distances:** - The angle at point \( E \) is \( 45^\circ \). - The distance between points \( D \) and \( E \) is 50 mm. - There is a vertical arm \( EF \) at the endpoint \( E \) forming another \( 45^\circ \) angle with the horizontal. - There is a long arm \( BF \) extending to point \( A \), measuring 200 mm from point \( B \) to \( F \). - Point \( A \) is connected via a smaller arm, \( AB \), which is also set at a \( 45^\circ \) angle. 3. **Coordinate System:** - The coordinate system is defined with \( x \)- and \( y \)-axes shown at the bottom left of the diagram. 4. **Motion:** - The system involves a rotational movement at point \( B \), denoted by angular velocity \( \omega_{AB} \). This diagram represents a complex mechanical linkage system designed for analyzing motion and the interdependence of rotational and linear components.
Transcribed Image Text:### Diagram Explanation This diagram illustrates a mechanical linkage consisting of gears and arms connected at various points. Here’s a detailed description: 1. **Gears and Arms:** - The system includes two gears, labeled \( D \) and \( C \). - Gear \( D \) and Gear \( C \) are meshed together, implying that rotation in one will affect the other. - There is a horizontal arm connecting point \( C \) to point \( F \), with a length of 20 mm between the gears and an additional 50 mm extending to \( F \). 2. **Angles and Distances:** - The angle at point \( E \) is \( 45^\circ \). - The distance between points \( D \) and \( E \) is 50 mm. - There is a vertical arm \( EF \) at the endpoint \( E \) forming another \( 45^\circ \) angle with the horizontal. - There is a long arm \( BF \) extending to point \( A \), measuring 200 mm from point \( B \) to \( F \). - Point \( A \) is connected via a smaller arm, \( AB \), which is also set at a \( 45^\circ \) angle. 3. **Coordinate System:** - The coordinate system is defined with \( x \)- and \( y \)-axes shown at the bottom left of the diagram. 4. **Motion:** - The system involves a rotational movement at point \( B \), denoted by angular velocity \( \omega_{AB} \). This diagram represents a complex mechanical linkage system designed for analyzing motion and the interdependence of rotational and linear components.
**Determine the \( x \) and \( y \) components of the velocity of point \( E \) at the instant shown.** Express your answers in millimeters per second to three significant figures separated by a comma. - **View Available Hint(s)** --- **Input Box:** \[ (v_E)_x, \, (v_E)_y = \, \_\_\_\_ \] **Units:** mm/s **Toolbar:** - Buttons for entering various mathematical symbols and notation, including a button for vectors and other tools. - Options to undo, redo, and clear the input field. --- This section is designed for students to calculate and input their answers based on physics or dynamics problems, focusing on velocity components in a specific coordinate system.
Transcribed Image Text:**Determine the \( x \) and \( y \) components of the velocity of point \( E \) at the instant shown.** Express your answers in millimeters per second to three significant figures separated by a comma. - **View Available Hint(s)** --- **Input Box:** \[ (v_E)_x, \, (v_E)_y = \, \_\_\_\_ \] **Units:** mm/s **Toolbar:** - Buttons for entering various mathematical symbols and notation, including a button for vectors and other tools. - Options to undo, redo, and clear the input field. --- This section is designed for students to calculate and input their answers based on physics or dynamics problems, focusing on velocity components in a specific coordinate system.
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