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 ag as a function of the angular variables (WAB , CAB) of link AB. 3. Using relative motion analysis, Express the acceleration āem of the center of mass of bar BC as a function of āB and the angular variables (wBC , a BC) of link BC. 4. Using the equation of motion for general planar motion (Direct Method) of a rigid body, find: (a) the angular acceleration aBC of bar BC? (b) The horizontal and vertical components (B,, By,) of the reaction at point B. 4 rad/s 6 rad/s 135° aBC Figure 1: Prob.1

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 ag as a function of the angular variables (WAB , CAB) of link AB. 3. Using relative motion analysis, Express the acceleration āem of the center of mass of bar BC as a function of āB and the angular variables (wBC , a BC) of link BC. 4. Using the equation of motion for general planar motion (Direct Method) of a rigid body, find: (a) the angular acceleration aBC of bar BC? (b) The horizontal and vertical components (B,, By,) of the reaction at point B. 4 rad/s 6 rad/s 135° aBC Figure 1: Prob.1

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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Question

Please solve only 3 and 4

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 dem of the center of mass of bar BC as
a function of āB 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 aBC of bar BC?
(b) The horizontal and vertical components (Bz, B,) of the reaction at point B.
4 rad/s
B
6 rad/s
135°
aBC
Figure 1: Prob.1

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