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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

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
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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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
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