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If bar AB has an angular velocity wAB = 6 rad/s, determine the ve the instant shown. WAB = 6 rad/s A B 200 mm 0=45° 500 mm

If bar AB has an angular velocity wAB = 6 rad/s, determine the ve the instant shown. WAB = 6 rad/s A B 200 mm 0=45° 500 mm

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
Problem 1.1MA
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### Problem Statement If bar \( AB \) has an angular velocity \(\omega_{AB} = 6 \, \text{rad/s}\), determine the velocity of the slider block \( C \) at the instant shown. ### Diagram Explanation The diagram illustrates a mechanical system consisting of two bars and a slider. Key elements include: - **Bar \( AB \)**: - It has an angular velocity of \( 6 \, \text{rad/s} \). - The length from point \( A \) to point \( B \) is \( 200 \, \text{mm} \). - **Bar Linked to \( C \)**: - This bar extends from point \( B \) to point \( C \). - The length from point \( B \) to point \( C \) is \( 500 \, \text{mm} \). - The angle at \( B \) is given as \( 30^\circ \). - **Angles**: - \( \theta \), the angle between bar \( AB \) and the horizontal at point \( A \), is \( 45^\circ \). - **Slider Block \( C \)**: - Positioned at the end of the linkage system opposite to \( A \). - Its velocity needs to be determined. This mechanical system essentially involves relative motion between the rotating bar \( AB \) and the slider block \( C \), with trigonometric functions relating the angular velocity to the linear velocity of \( C \). The task is to compute the velocity of the slider block \( C \) based on these parameters and the relationships formed by the angles.
Transcribed Image Text:### Problem Statement If bar \( AB \) has an angular velocity \(\omega_{AB} = 6 \, \text{rad/s}\), determine the velocity of the slider block \( C \) at the instant shown. ### Diagram Explanation The diagram illustrates a mechanical system consisting of two bars and a slider. Key elements include: - **Bar \( AB \)**: - It has an angular velocity of \( 6 \, \text{rad/s} \). - The length from point \( A \) to point \( B \) is \( 200 \, \text{mm} \). - **Bar Linked to \( C \)**: - This bar extends from point \( B \) to point \( C \). - The length from point \( B \) to point \( C \) is \( 500 \, \text{mm} \). - The angle at \( B \) is given as \( 30^\circ \). - **Angles**: - \( \theta \), the angle between bar \( AB \) and the horizontal at point \( A \), is \( 45^\circ \). - **Slider Block \( C \)**: - Positioned at the end of the linkage system opposite to \( A \). - Its velocity needs to be determined. This mechanical system essentially involves relative motion between the rotating bar \( AB \) and the slider block \( C \), with trigonometric functions relating the angular velocity to the linear velocity of \( C \). The task is to compute the velocity of the slider block \( C \) based on these parameters and the relationships formed by the angles.
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