Mathematics · Systems of Particles and Rotational Motion
During dynamic testing of an automobile seat restraint, the load distribution on the cranium due to a rear-end collision is found to be parabolic. If the distribution spans a length of 0.5 ft with a peak intensity of 42 lb/ft, determine the magnitude of the equivalent resultant force (FR) and its centroid location (x̅) measured from the start of the load (Point A).
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1FR = 5 lb and x̅ = 0.223 ft
- 2FR = 4 lb and x̅ = 0.482 ft
- 3FR = 12 lb and x̅ = 0.318 ft
- 4FR = 7 lb and x̅ = 0.268 ft✓
Correct answer
FR = 7 lb and x̅ = 0.268 ft
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