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3. A body of a crane is moving and accelerating. The boom of the crane extends from crane horizontal to the ground (top view shown). The boom is both rotating and changing length, as shown. a. What are the radial and theta components of velocity of the far end of the boom (Point A) relative to the crane body (Point C)? b. Express velocity of Point A relative to Point C using i and j unit vectors. C. What are the radial and theta components of the acceleration of Point A relative to Point C? d. Express acceleration of Point A relative to Point C using i and j unit vectors. e. What is the velocity of Point A relative to the ground? f. What is the acceleration of Point A relative to the ground? g. What is the rate of change of the speed of Point A relative to the ground? (Hint: you are looking for aτ) ė = 0.8 rad/s Ö = 0.1 rad/s² A r = 5m r = 1.2 m/s r = 0 Y view from the top vc = 1.8 m/s ac = 1 m/s² X

3. A body of a crane is moving and accelerating. The boom of the crane extends from crane horizontal to the ground (top view shown). The boom is both rotating and changing length, as shown. a. What are the radial and theta components of velocity of the far end of the boom (Point A) relative to the crane body (Point C)? b. Express velocity of Point A relative to Point C using i and j unit vectors. C. What are the radial and theta components of the acceleration of Point A relative to Point C? d. Express acceleration of Point A relative to Point C using i and j unit vectors. e. What is the velocity of Point A relative to the ground? f. What is the acceleration of Point A relative to the ground? g. What is the rate of change of the speed of Point A relative to the ground? (Hint: you are looking for aτ) ė = 0.8 rad/s Ö = 0.1 rad/s² A r = 5m r = 1.2 m/s r = 0 Y view from the top vc = 1.8 m/s ac = 1 m/s² X

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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3. A body of a crane is moving and accelerating. The boom of the crane extends from crane horizontal to the ground (top view shown). The boom is both rotating and changing length, as shown. a. What are the radial and theta components of velocity of the far end of the boom (Point A) relative to the crane body (Point C)? b. Express velocity of Point A relative to Point C using i and j unit vectors. C. What are the radial and theta components of the acceleration of Point A relative to Point C? d. Express acceleration of Point A relative to Point C using i and j unit vectors. e. What is the velocity of Point A relative to the ground? f. What is the acceleration of Point A relative to the ground? g. What is the rate of change of the speed of Point A relative to the ground? (Hint: you are looking for aτ) ė = 0.8 rad/s Ö = 0.1 rad/s² A r = 5m r = 1.2 m/s r = 0 Y view from the top vc = 1.8 m/s ac = 1 m/s² X
Transcribed Image Text:3. A body of a crane is moving and accelerating. The boom of the crane extends from crane horizontal to the ground (top view shown). The boom is both rotating and changing length, as shown. a. What are the radial and theta components of velocity of the far end of the boom (Point A) relative to the crane body (Point C)? b. Express velocity of Point A relative to Point C using i and j unit vectors. C. What are the radial and theta components of the acceleration of Point A relative to Point C? d. Express acceleration of Point A relative to Point C using i and j unit vectors. e. What is the velocity of Point A relative to the ground? f. What is the acceleration of Point A relative to the ground? g. What is the rate of change of the speed of Point A relative to the ground? (Hint: you are looking for aτ) ė = 0.8 rad/s Ö = 0.1 rad/s² A r = 5m r = 1.2 m/s r = 0 Y view from the top vc = 1.8 m/s ac = 1 m/s² X
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