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1. Draw the free-body diagram for bar BC. 2. Using relative motion analysis, Express the acceleration āg as a function of the angular variables (WAB , CAB) of link AB.

1. Draw the free-body diagram for bar BC. 2. Using relative motion analysis, Express the acceleration āg as a function of the angular variables (WAB , CAB) of link AB.

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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The bars shown in Fig.1 are respectively lAB = 1.4 m and lBc = 1.5 m in length and have a mass of mAB = 2.0 kg and mBc = 2.4 kg. They rotate in the horizontal plane. Bar AB rotates with an angular velocity of wAB = 4 rad/s and angular acceleration of a AB = 0.7 rad/s², in the counterclockwise direction. At the instant shown, bar BC is rotating in the counterclockwise direction at wBC = 6 rad/s. Main Deliverables: aBc =? and (B. =? , By =?). Proceed by answering the following questions in the order they are listed: 1. Draw the free-body diagram for bar BC. 2. Using relative motion analysis, Express the acceleration āß as a function of the angular variables (WAB , CAB) of link AB. 3. Using relative motion analysis, Express the acceleration d'cm of the center of mass of bar BC as a function of āg and the angular variables (wBC , aBC) of link BC. 4. Using the equation of motion for general planar motion (Direct Method) of a rigid body, find: (a) the angular acceleration a BC of bar BC? (b) The horizontal and vertical components (Bæ,By) of the reaction at point B. 4 rad/s B 6 rad/s 135° авс Figure 1: Prob.1
Transcribed Image Text:The bars shown in Fig.1 are respectively lAB = 1.4 m and lBc = 1.5 m in length and have a mass of mAB = 2.0 kg and mBc = 2.4 kg. They rotate in the horizontal plane. Bar AB rotates with an angular velocity of wAB = 4 rad/s and angular acceleration of a AB = 0.7 rad/s², in the counterclockwise direction. At the instant shown, bar BC is rotating in the counterclockwise direction at wBC = 6 rad/s. Main Deliverables: aBc =? and (B. =? , By =?). Proceed by answering the following questions in the order they are listed: 1. Draw the free-body diagram for bar BC. 2. Using relative motion analysis, Express the acceleration āß as a function of the angular variables (WAB , CAB) of link AB. 3. Using relative motion analysis, Express the acceleration d'cm of the center of mass of bar BC as a function of āg and the angular variables (wBC , aBC) of link BC. 4. Using the equation of motion for general planar motion (Direct Method) of a rigid body, find: (a) the angular acceleration a BC of bar BC? (b) The horizontal and vertical components (Bæ,By) of the reaction at point B. 4 rad/s B 6 rad/s 135° авс Figure 1: Prob.1
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