first 3 parts (a)Figure B1 shows an extendable boom mobile crane, typical of the type that was used to constructthe new Engineering Building. Before the boom is retracted, distance AB = 25 m and 8 = 60°. Toretract the boom, Point B is moved toward Point A with a constant radial acceleration of -0.5 m/s²and is lowered toward the vehicle deck with a constant angular acceleration of -0.1 rad/s². At thetime t = 2 seconds after the boom begins to retract, determine:(0)The velocity of Point B(ii)(iii)AThe acceleration of Point BThe radius of curvature of the path that B follows.BFigure B1 Mobile extendable boom crane (L) and in use during construction of the EngineeringBuilding (R).(b)(i) Using the photograph of the crane on site shown in Figure B1, estimate the mass of theboom if length AB = 60 m when fully extended. The boom is manufactured from hollow boxsection steel. State any assumptions that you make.(ii) How would the mass of the boom influence the designed safe working load of the crane?1

Given: AB=25 mθ=60oaB,r=0.5 m/s2αAB=0.1 rad/s2

Figure B1 shows an extendable boom mobile crane, typical of the type that was used to construct the new Engineering Building. Before the boom is retracted, distance AB= 25 m and = 60°. To retract the boom, Point B is moved toward Point A with a constant radial acceleration of -0.5 m/s² and is lowered toward the vehicle deck with a constant angular acceleration of -0.1 rad/s². At the time t = 2 seconds after the boom begins to retract, determine: (i) The velocity of Point B (ii) (iii) The acceleration of Point B The radius of curvature of the path that B follows.

Figure B1 shows an extendable boom mobile crane, typical of the type that was used to construct the new Engineering Building. Before the boom is retracted, distance AB= 25 m and = 60°. To retract the boom, Point B is moved toward Point A with a constant radial acceleration of -0.5 m/s² and is lowered toward the vehicle deck with a constant angular acceleration of -0.1 rad/s². At the time t = 2 seconds after the boom begins to retract, determine: (i) The velocity of Point B (ii) (iii) The acceleration of Point B The radius of curvature of the path that B follows.

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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Free Body Diagram

The system of forces acting on a body tends to either rotate it or make the body undergo motion. In general, when an external agent exerts a force on a body, the body undergoes translational motion and rotational motion. The body has six degrees of freedom under the influence of that force. Here, three degrees of freedom are from the translational motion while the other three are from the rotation motion. However, sometimes the bodies are not allowed to undergo any motion and are fixed, under such conditions the body is said to be constrained.

Question

first 3 parts

(a)
Figure B1 shows an extendable boom mobile crane, typical of the type that was used to construct
the new Engineering Building. Before the boom is retracted, distance AB = 25 m and 8 = 60°. To
retract the boom, Point B is moved toward Point A with a constant radial acceleration of -0.5 m/s²
and is lowered toward the vehicle deck with a constant angular acceleration of -0.1 rad/s². At the
time t = 2 seconds after the boom begins to retract, determine:
(0)
The velocity of Point B
(ii)
(iii)
A
The acceleration of Point B
The radius of curvature of the path that B follows.
B
Figure B1 Mobile extendable boom crane (L) and in use during construction of the Engineering
Building (R).
(b)
(i) Using the photograph of the crane on site shown in Figure B1, estimate the mass of the
boom if length AB = 60 m when fully extended. The boom is manufactured from hollow box
section steel. State any assumptions that you make.
(ii) How would the mass of the boom influence the designed safe working load of the crane?
1

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