What would be the greatest length of a steel wire which when fixed at one end can hang freely without be the breaking ? (Density of steel = 7800 kg, breaking stress for steel = 7.8 x 108 N/m2)
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What would be the greatest length of a steel wire which when fixed at one end can hang freely without be the breaking ?
(Density of steel = 7800 kg, breaking stress for steel = 7.8 x 108 N/m2)
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- A moonshiner makes the error of filling a glass jar to the brim and capping it tightly. The moonshine expands more than the glass when it warms up, in such a way that the volume increases by 0.4% (that is, AV/Vo = 4 x 10-3) relative to the space available. Calculate the force exerted by the moonshine per square centimeter if the bulk modulus is 1.8 x 109 N/m², assuming the jar does not break. N/cm2 In view of your answer, do you think the jar survives? (Hint: How many atmospheres is this?) O No O YesWhen a tension of 70 N is applied to a piano wire of length 1.8 m, it stretches by 2.0 mm. If the same tension is applied to a similar piano wire of length 3.6 m, by how much will it stretch?A certain wire stretches 1.2 cm when outward forces with magnitude F are applied to each end. The same forces are applied to a wire of the same material but with six times the diameter and 12 times the length. The second wire stretches in cm:
- Assume Young’s modulus for bone is 1.40×1010 N/m2 . The bone breaks if stress greater than 1.50 × 109 N/m2 is imposed on it. (i) What is the maximum force that can be exerted on the femur bone in the leg if it has a minimum effective diameter of 2.50 cm? (ii) If this much force is applied compressively, by how much does the 20.0 cm long bone shorten?A 180-kg load is hung on a wire of length of 4.50 m, cross-sectional area 2.000 x 10-5 m2, and Young's modulus 8.00 x 1010 N/m2. What is its increase in length (mm)?A suspender rod of a suspension bridge is 25.0 m long. If the rod is made of steel, what must its diameter be so that it does not stretch more than 1.0 cm when a 2.5 × 104 -kg truck passes by it? Assume that the rod supports all of the weight of the truck.