CP BIO Stress on the Shin Bone. The compressive strength of our bones is important in everyday life. Young’s modulus for bone is about 1.4 × 10 10 Pa. Bone can take only about a 1.0% change in its length before fracturing, (a) What is the maximum force that can be applied to a bone whose minimum cross-sectional area is 3.0 cm 2 ? (This is approximately the cross-sectional area of a tibia, or shin bone, at its narrowest point.) (b) Estimate the maximum height from which a 70-kg man could jump and not fracture his tibia. Take the time between when he first touches the floor and when he has stopped to be 0.030 s. and assume that the stress on his two legs is distributed equally.
CP BIO Stress on the Shin Bone. The compressive strength of our bones is important in everyday life. Young’s modulus for bone is about 1.4 × 10 10 Pa. Bone can take only about a 1.0% change in its length before fracturing, (a) What is the maximum force that can be applied to a bone whose minimum cross-sectional area is 3.0 cm 2 ? (This is approximately the cross-sectional area of a tibia, or shin bone, at its narrowest point.) (b) Estimate the maximum height from which a 70-kg man could jump and not fracture his tibia. Take the time between when he first touches the floor and when he has stopped to be 0.030 s. and assume that the stress on his two legs is distributed equally.
CP BIO Stress on the Shin Bone. The compressive strength of our bones is important in everyday life. Young’s modulus for bone is about 1.4 × 1010 Pa. Bone can take only about a 1.0% change in its length before fracturing, (a) What is the maximum force that can be applied to a bone whose minimum cross-sectional area is 3.0 cm2? (This is approximately the cross-sectional area of a tibia, or shin bone, at its narrowest point.) (b) Estimate the maximum height from which a 70-kg man could jump and not fracture his tibia. Take the time between when he first touches the floor and when he has stopped to be 0.030 s. and assume that the stress on his two legs is distributed equally.
The compressivestrength of our bones is important in everyday life. Young’s modulus forbone is about 1.4 * 10^10 Pa. Bone can take only about a 1.0% changein its length before fracturing. (a) What is the maximum force that canbe applied to a bone whose minimum cross-sectional area is 3.0 cm2?(This is approximately the cross-sectional area of a tibia, or shin bone,at its narrowest point.) (b) Estimate the maximum height from which a70 kg man could jump and not fracture his tibia. Take the time betweenwhen he first touches the floor and when he has stopped to be 0.030 s,and assume that the stress on his two legs is distributed equally.
Assume Young's modulus of a femure bone of an effective diameter 2.5 cm is 1.5 x1010 N/m2. The bone breaks
if a stress greater than 2 x10° N/m² is imposed on it. What is the maximum force that can be exerted on it?
An Aluminum cable of length 3.5 m has 15,000 N tensile force acting on it, if the wire is only allowed
to be stretched by 1 mm before it breaks,
29. what must be the radius of the wire if the Young's modulus of Al is 6.9 x 10¹0 N/m²?
30. what is its tensile stress at this point?
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