Problem 18.2 As part of a school bus safety test program, school buses are being tested for potential roll-over hazards. To test the bus, it is placed on 1000-pound moveable concrete pad that rolls freely without friction. The horizontal motion of the pad is produced by a hydraulic ram which pulls the pad to left. A 5000-pound school bus is placed on the pad as shown in the figure. a) Assuming the bus does not slip on the pad, determine the minimum value of the horizontal acceleration (dv/dt) of the pad in the direction indicated that will cause the bus to tip, in ft/s². b) Determine the force, in lbf, that the ram must apply to the platform to produce the acceleration found in part (a). c) Determine the minimum static coefficient of friction between the tires and the concrete pad that is required to keep the bus from slipping on the moving pad. d = 3 ft h = 4 ft Desired direction of pad motion Hydraulic Ram h Bus Pad Ans: a) 23 ft/s² ≤ |ax| ≤ 25 ft/s² b) 4500 lbf ≤|F| ≤ 4600 lbf c) 0.70 μs ≤ 0.85

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
icon
Related questions
Question
Problem 18.2
As part of a school bus safety test program, school buses are being tested for potential roll-over hazards.
To test the bus, it is placed on 1000-pound moveable concrete pad that rolls freely without friction. The
horizontal motion of the pad is produced by a hydraulic ram which pulls the pad to left. A 5000-pound
school bus is placed on the pad as shown in the figure.
a) Assuming the bus does not slip on the
pad, determine the minimum value
of the horizontal acceleration (dv/dt)
of the pad in the direction indicated
that will cause the bus to tip, in ft/s².
b) Determine the force, in lbf, that the
ram must apply to the platform to
produce the acceleration found in
part (a).
c) Determine the minimum static
coefficient of friction between the
tires and the concrete pad that is
required to keep the bus from
slipping on the moving pad.
d = 3 ft
h = 4 ft
Desired direction of
pad motion
Hydraulic
Ram
h
Bus
Pad
Ans: a) 23 ft/s² ≤ |ax| ≤ 25 ft/s²
b) 4500 lbf ≤|F| ≤ 4600 lbf
c) 0.70 μs ≤ 0.85
Transcribed Image Text:Problem 18.2 As part of a school bus safety test program, school buses are being tested for potential roll-over hazards. To test the bus, it is placed on 1000-pound moveable concrete pad that rolls freely without friction. The horizontal motion of the pad is produced by a hydraulic ram which pulls the pad to left. A 5000-pound school bus is placed on the pad as shown in the figure. a) Assuming the bus does not slip on the pad, determine the minimum value of the horizontal acceleration (dv/dt) of the pad in the direction indicated that will cause the bus to tip, in ft/s². b) Determine the force, in lbf, that the ram must apply to the platform to produce the acceleration found in part (a). c) Determine the minimum static coefficient of friction between the tires and the concrete pad that is required to keep the bus from slipping on the moving pad. d = 3 ft h = 4 ft Desired direction of pad motion Hydraulic Ram h Bus Pad Ans: a) 23 ft/s² ≤ |ax| ≤ 25 ft/s² b) 4500 lbf ≤|F| ≤ 4600 lbf c) 0.70 μs ≤ 0.85
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 2 images

Blurred answer
Knowledge Booster
Axial Load
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
Elements Of Electromagnetics
Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press
Mechanics of Materials (10th Edition)
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Thermodynamics: An Engineering Approach
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education
Control Systems Engineering
Control Systems Engineering
Mechanical Engineering
ISBN:
9781118170519
Author:
Norman S. Nise
Publisher:
WILEY
Mechanics of Materials (MindTap Course List)
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:
9781337093347
Author:
Barry J. Goodno, James M. Gere
Publisher:
Cengage Learning
Engineering Mechanics: Statics
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:
9781118807330
Author:
James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:
WILEY