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Link 2 is isolated from a kinematic diagram and shown in figure P6.13, angles γ = 50°and β= 60°. The link is rotated clockwise, driving point A at a speed of 40 ft/s. Determine the angular velocity of link 2 and the velocity of point A and B

Link 2 is isolated from a kinematic diagram and shown in figure P6.13, angles γ = 50°and β= 60°. The link is rotated clockwise, driving point A at a speed of 40 ft/s. Determine the angular velocity of link 2 and the velocity of point A and B

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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Link 2 is isolated from a kinematic diagram and shown in figure P6.13, angles γ = 50°and β= 60°. The link is rotated clockwise, driving point A at a speed of 40 ft/s. Determine the angular velocity of link 2 and the velocity of point A and B
The image displays a right triangle, labeled with vertices A, B, and an unlabeled right angle vertex at the base. ### Descriptions and Details: 1. **Vertices and Sides:** - The vertex of the triangle at the pivot point is joined with two other vertices: A on the left, and B at the top. - The side connecting vertex A to the pivot is 8 inches in length. - The side connecting the pivot to vertex B is 18 inches in length. 2. **Angles:** - The angle at the pivot between the base (extending to vertex A) and the hypotenuse (extending to vertex B) is labeled as \(\beta\). - An adjacent smaller angle is labeled as \(\gamma\). 3. **Pivot:** - There is a pivot structure at the base, depicting that the triangular setup can rotate around this point. 4. **Area Representation:** - Within the triangle, there is a notation marked with a circled "2", likely indicating a sector, region, or specific element for focus in a mathematical context. ### Explanation: This diagram likely serves to illustrate concepts such as geometric angles, lengths, and triangles in a mathematical or engineering context. The triangle is shown standing vertically, illustrating the right angle, which is essential for calculating areas or solving related trigonometric problems. ### Usage: This diagram could be used in an educational setting to demonstrate the relationship between angles and sides in right triangles or to discuss properties related to rotatable mechanisms.
Transcribed Image Text:The image displays a right triangle, labeled with vertices A, B, and an unlabeled right angle vertex at the base. ### Descriptions and Details: 1. **Vertices and Sides:** - The vertex of the triangle at the pivot point is joined with two other vertices: A on the left, and B at the top. - The side connecting vertex A to the pivot is 8 inches in length. - The side connecting the pivot to vertex B is 18 inches in length. 2. **Angles:** - The angle at the pivot between the base (extending to vertex A) and the hypotenuse (extending to vertex B) is labeled as \(\beta\). - An adjacent smaller angle is labeled as \(\gamma\). 3. **Pivot:** - There is a pivot structure at the base, depicting that the triangular setup can rotate around this point. 4. **Area Representation:** - Within the triangle, there is a notation marked with a circled "2", likely indicating a sector, region, or specific element for focus in a mathematical context. ### Explanation: This diagram likely serves to illustrate concepts such as geometric angles, lengths, and triangles in a mathematical or engineering context. The triangle is shown standing vertically, illustrating the right angle, which is essential for calculating areas or solving related trigonometric problems. ### Usage: This diagram could be used in an educational setting to demonstrate the relationship between angles and sides in right triangles or to discuss properties related to rotatable mechanisms.
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