Find the minimum diameter of an I = 15.4 m long brass wire that will stretch no more than 7.83 mm when a mass of 335 kg is hung on the lower end. (Hint: The Young's modulus of brass is 91.0 GPa.)
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- A 22.0 m long aluminum cable with a cross-sectional area of 2.01 ✕ 10−3 m2 is used to suspend a 3.80 ✕ 103 kg container. By how much will the cable stretch (in m) once bearing the load? (Young's modulus for aluminum is Y = 7.0 ✕ 1010 Pa.)A vertical steel girder with a crosssectional area of 0.15 m2 has a 1550 kg sign hanging from its end. (Ignore the mass of the girder itself.) If the girder is 9.50 m long, how much is it lengthened? Note that the Young's modulus =200x10 9 * O 8.4x10 6m 4.4x10 -6m O 4.8x10 -6m O All answers are wrongSome claim that mountain climbers suffer from headaches due not only to a lack of oxygen in the brain, but also to the expansion of the brain in the cranium. Find the fractional change of the brain's volume due to a reduction in pressure from (1.48x10^2) kPa at sea level to 27.0 kPa high in the Himalayas. The bulk modulus is 2.10 GPa. Give your answer with three significant figures. Note: Your answer is assumed to be reduced to the highest power possible. Your Answer: x10 Answer
- An amusement park ride consists of airplane-shaped cars attached to steel rods. Each rod has length 15m and cross-sectional area 8.00cm2. Take Young's modulus for steel to be Y=2.0×1011Pa. How much is the rod stretched (change in length of ΔL) when the ride is at rest? Assume that each car with two people seated in it has a total weight of 1900N. When the ride is operating, it has a maximum angular speed of ω=8.0rev/min. How much is the rod stretched then?A 1.25 m long cable has a diameter 3.50 mm with a Young’s Modulus, E, of 9.75 x 109 N/m2 . When the wire is placed under tension, it experiences a stress of 202.52 x 106 N/m2 , the length of the cable extends by 36.35 mm. Calculate the force that the cable experiences under tension and the strain energy density (U/V) due to deformation. Give your answers in newtons (N) to 2 decimal places for the force; and in joules per cubic metre (J/m3 ) for the strain energy density to 2 decimal places. Assume the cable is solid and the material is homogeneous.