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
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(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
Transcribed Image Text:(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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