17. Under static or constant velocity conditions, the wheelchair will tip back- wards if the vertical projection of the combined center of gravity (CG) of the wheelchair and occupant falls behind the point of contact between the rear wheels and the ramp surfaces. As shown in Figure 5.12, the rearward tipover angle (0,) is determined by the horizontal distance (d₁) and the vertical distance (d₂) between CG and the wheelchair's rear axles. a) Using static analysis, derive the equation relating 0,, d₁, and d2. b) Using the platform approach depicted in Figure 5.7, suggest a method for determining d₁. c) Assuming that d₁ and d2 averaged 13 cm and 24 cm, respectively, for able-bodied individuals, what would 0, be? d) How would d₁ and d₂ change if the wheelchair occupant leaned forward instead of sitting back against the chair? How would 0, be affected by this postural shift? CG 0₁ kost 30.5cm

International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
Publisher:Andrew Pytel And Jaan Kiusalaas
Chapter4: Coplanar Equilibrium Analysis
Section: Chapter Questions
Problem 4.41P: The center of gravity of the 3000-lb car is at G. The car is parked on an incline with the parking...
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17. Under static or constant velocity conditions, the wheelchair will tip back-
wards if the vertical projection of the combined center of gravity (CG) of
the wheelchair and occupant falls behind the point of contact between the
rear wheels and the ramp surfaces. As shown in Figure 5.12, the rearward
tipover angle (0,) is determined by the horizontal distance (d₁) and the
vertical distance (d₂) between CG and the wheelchair's rear axles.
a) Using static analysis, derive the equation relating 0,, d₁, and d₂.
b) Using the platform approach depicted in Figure 5.7, suggest a
method for determining d₁.
c) Assuming that d₁ and d₂ averaged 13 cm and 24 cm, respectively, for
able-bodied individuals, what would 0, be?
d) How would d₁ and d₂ change if the wheelchair occupant leaned
forward instead of sitting back against the chair? How would 0, be
affected by this postural shift?
CG
0₁
T
K-d?
30.5cm
Transcribed Image Text:17. Under static or constant velocity conditions, the wheelchair will tip back- wards if the vertical projection of the combined center of gravity (CG) of the wheelchair and occupant falls behind the point of contact between the rear wheels and the ramp surfaces. As shown in Figure 5.12, the rearward tipover angle (0,) is determined by the horizontal distance (d₁) and the vertical distance (d₂) between CG and the wheelchair's rear axles. a) Using static analysis, derive the equation relating 0,, d₁, and d₂. b) Using the platform approach depicted in Figure 5.7, suggest a method for determining d₁. c) Assuming that d₁ and d₂ averaged 13 cm and 24 cm, respectively, for able-bodied individuals, what would 0, be? d) How would d₁ and d₂ change if the wheelchair occupant leaned forward instead of sitting back against the chair? How would 0, be affected by this postural shift? CG 0₁ T K-d? 30.5cm
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