A mobile crane is lifting a large concrete block W at a constuction site, as shown in the figure below. The crane body has a weight of W₁ = 8500 lb and the crane boom has a weight of W₂ = 1100 lb, which act at the centers of gravity CG₁ and CG₂ respectively. The center of gravity locations (L₁ & L₂), the distance between the front and rear tires (L3), and the location of the lifting weight (L4) are given as follows: L₁ = 30 in, L2 = 95 in, L3 = 105 in, and L4 = 135 in. Note: Express your answers following the standard sign convention for the coordinate system shown. L₂ y Lox CG₂
A mobile crane is lifting a large concrete block W at a constuction site, as shown in the figure below. The crane body has a weight of W₁ = 8500 lb and the crane boom has a weight of W₂ = 1100 lb, which act at the centers of gravity CG₁ and CG₂ respectively. The center of gravity locations (L₁ & L₂), the distance between the front and rear tires (L3), and the location of the lifting weight (L4) are given as follows: L₁ = 30 in, L2 = 95 in, L3 = 105 in, and L4 = 135 in. Note: Express your answers following the standard sign convention for the coordinate system shown. L₂ y Lox CG₂
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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![A mobile crane is lifting a large concrete block W at a constuction site, as shown in the figure below. The crane
body has a weight of W₁ = 8500 lb and the crane boom has a weight of W₂ = 1100 lb, which act at the
centers of gravity CG₁ and CG₂ respectively. The center of gravity locations (L₁ & L₂), the distance between
the front and rear tires (L3), and the location of the lifting weight (L4) are given as follows: L₁ = 30 in,
L2 = 95 in, L3= 105 in, and L4 = 135 in.
Note: Express your answers following the standard sign convention for the coordinate system shown.
у
L₂
X
Al
W max
CG₁
number (rtol=0.01, atol=1e-05)
number (rtol=0.01, atol=1e-05)
IB
(a) If the block weighs W = 3400 lb, find the combined reactions at both rear tires (A) and both front tires (B).
NA =
NB =
CG₂
= number (rtol=0.01, atol=1e-05)
lb ?
lb ?
(b) Determine the maximum weight Wmax that the crane can lift before tipping over. (Hint: When the crane
begins to tip, what happens to the rear tires?)
W
lb ?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F68cfc78d-9a17-4a18-9125-7ed4df6070d3%2F404751f6-9267-4945-a898-20b63e803524%2F33u51tl_processed.png&w=3840&q=75)
Transcribed Image Text:A mobile crane is lifting a large concrete block W at a constuction site, as shown in the figure below. The crane
body has a weight of W₁ = 8500 lb and the crane boom has a weight of W₂ = 1100 lb, which act at the
centers of gravity CG₁ and CG₂ respectively. The center of gravity locations (L₁ & L₂), the distance between
the front and rear tires (L3), and the location of the lifting weight (L4) are given as follows: L₁ = 30 in,
L2 = 95 in, L3= 105 in, and L4 = 135 in.
Note: Express your answers following the standard sign convention for the coordinate system shown.
у
L₂
X
Al
W max
CG₁
number (rtol=0.01, atol=1e-05)
number (rtol=0.01, atol=1e-05)
IB
(a) If the block weighs W = 3400 lb, find the combined reactions at both rear tires (A) and both front tires (B).
NA =
NB =
CG₂
= number (rtol=0.01, atol=1e-05)
lb ?
lb ?
(b) Determine the maximum weight Wmax that the crane can lift before tipping over. (Hint: When the crane
begins to tip, what happens to the rear tires?)
W
lb ?
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