Moo's Dairy has entered the annual Dairy Drag Race at the State Fair. Her drag racer is a fully-loaded milk truck shown in the figure. When fully loaded, the milk truck weighs 5000 lbf. The truck is a rear-wheel drive vehicle, and the front tires provide negligible frictional drag when rolling. The maximum traction between the tires and the road occurs when there is no slip between the tires and the road, i.e. the force between the road and the tires is due to static friction. The static coefficient of friction between the rubber tires and the concrete pavement is μ = 0.8. a) Determine the reactions between the tires and the road at points A and B, in lbf, when the truck is stationary. b) Determine the maximum acceleration possible for the fully-loaded, rear- wheel drive milk truck, in ft/s² or in g's. Also determine the corresponding reactions at points A and B, in lbf. Is there any danger of the truck tipping under these conditions? Explain. Moo's Dairy G A da dB B da = 4 ft dB = 6 ft h = 4 ft h

Moo's Dairy has entered the annual Dairy Drag Race at the State Fair. Her drag racer is a fully-loaded milk truck shown in the figure. When fully loaded, the milk truck weighs 5000 lbf. The truck is a rear-wheel drive vehicle, and the front tires provide negligible frictional drag when rolling. The maximum traction between the tires and the road occurs when there is no slip between the tires and the road, i.e. the force between the road and the tires is due to static friction. The static coefficient of friction between the rubber tires and the concrete pavement is μ = 0.8. a) Determine the reactions between the tires and the road at points A and B, in lbf, when the truck is stationary. b) Determine the maximum acceleration possible for the fully-loaded, rear- wheel drive milk truck, in ft/s² or in g's. Also determine the corresponding reactions at points A and B, in lbf. Is there any danger of the truck tipping under these conditions? Explain. Moo's Dairy G A da dB B da = 4 ft dB = 6 ft h = 4 ft h

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

Problem 19.2
Moo's Dairy has entered the annual Dairy Drag Race at the State Fair. Her drag racer is a fully-loaded milk
truck shown in the figure. When fully loaded, the milk truck weighs 5000 lbf. The truck is a rear-wheel
drive vehicle, and the front tires provide negligible frictional drag when rolling.
The maximum traction between the tires and the road occurs when there is no slip between the tires and
the road, i.e. the force between the road and the tires is due to static friction. The static coefficient of
friction between the rubber tires and the concrete pavement is μ = 0.8.
a) Determine the reactions between the
tires and the road at points A and B, in
lbf, when the truck is stationary.
b) Determine the maximum acceleration
possible for the fully-loaded, rear-
wheel drive milk truck, in ft/s² or in g's.
Also determine the corresponding
reactions at points A and B, in lbf. Is
there any danger of the truck tipping
under these conditions? Explain.
Moo's
Dairy
da
GO
dB
B
da = 4 ft
dB = 6 ft
h = 4 ft
h
Ans: a) 1500lbf<|A|< 3000 lbf, 2500lbf<|B|< 3500 lbf
b) 21 ft/s² < |ax| ≤ 25 ft/s²

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