A common device for entertaining a toddler is a jump seat that hangs from the horizontal portion of a doorframe via elastic cords (Fig. 4). Assume that only one cord is on each side in spite of the more realistic arrangement shown. When a child is placed in the seat, they both descend by a distance d, as the cords stretch (treat them as springs). Then the seat is pulled down an extra distance d, and released, so that the child oscillates vertically, like a block on the end of a spring. Suppose you are the safety engineer for the manufacturer of the seat. You do not want the magnitude of the child's acceleration to exceed 0.20g for fear of hurting the child's neck. If d 10 cm, what value of d, corresponds to that acceleration = magnitude?
A common device for entertaining a toddler is a jump seat that hangs from the horizontal portion of a doorframe via elastic cords (Fig. 4). Assume that only one cord is on each side in spite of the more realistic arrangement shown. When a child is placed in the seat, they both descend by a distance d, as the cords stretch (treat them as springs). Then the seat is pulled down an extra distance d, and released, so that the child oscillates vertically, like a block on the end of a spring. Suppose you are the safety engineer for the manufacturer of the seat. You do not want the magnitude of the child's acceleration to exceed 0.20g for fear of hurting the child's neck. If d 10 cm, what value of d, corresponds to that acceleration = magnitude?
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Transcribed Image Text:4. A common device for entertaining a toddler is a jump seat that hangs from the horizontal
portion of a doorframe via elastic cords (Fig. 4). Assume that only one cord is on each side
in spite of the more realistic arrangement shown. When a child is placed in the seat, they
both descend by a distance d, as the cords stretch (treat them as springs). Then the seat is
pulled down an extra distance d and released, so that the child oscillates vertically, like a
block on the end of a spring. Suppose you are the safety engineer for the manufacturer of
the seat. You do not want the magnitude of the child's acceleration to exceed 0.20g for fear
of hurting the child's neck. If d = 10 cm, what value of d, corresponds to that acceleration
magnitude?
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