04 In a study of head injury against the instrument panel of a car during sudden or crash stops where lap belts without shoulder straps or airbags are used, the segmented human model shown in the figure is analyzed. The hip joint O is assumed to remain fixed relative to the car, and the torso above the hip is treated as a rigid body of mass m freely pivoted at O. The center of mass of the torso is at G with the initial position of OG taken as vertical. The radius of gyration of the torso about O is ko. If the car is brought to a sudden stop with a constant deceleration a, determine the speed v relative to the car with which the model's head strikes the instrument panel. Substitute the values m = 50 kg, ī = 450 mm, r = ko = 550 mm, 0 = 45°, and a = 10g and compute v. 800 mm, %3D %3D

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
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6/104 In a study of head injury against the instrument
panel of a car during sudden or crash stops where
lap belts without shoulder straps or airbags are
used, the segmented human model shown in the
figure is analyzed. The hip joint O is assumed
to remain fixed relative to the car, and the torso
above the hip is treated as a rigid body of mass
m freely pivoted at 0. The center of mass of the
torso is at G with the initial position of OG taken
as vertical. The radius of gyration of the torso
about O is ko. If the car is brought to a sudden
stop with a constant deceleration a, determine the
speed v relative to the car with which the model's
head strikes the instrument panel. Substitute
the values m = 50 kg, 7 = 450 mm, r = 800 mm,
ko = 550 mm, 0
%3D
45°, and a = 10g and compute v.
%3D
Transcribed Image Text:6/104 In a study of head injury against the instrument panel of a car during sudden or crash stops where lap belts without shoulder straps or airbags are used, the segmented human model shown in the figure is analyzed. The hip joint O is assumed to remain fixed relative to the car, and the torso above the hip is treated as a rigid body of mass m freely pivoted at 0. The center of mass of the torso is at G with the initial position of OG taken as vertical. The radius of gyration of the torso about O is ko. If the car is brought to a sudden stop with a constant deceleration a, determine the speed v relative to the car with which the model's head strikes the instrument panel. Substitute the values m = 50 kg, 7 = 450 mm, r = 800 mm, ko = 550 mm, 0 %3D 45°, and a = 10g and compute v. %3D
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