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- avdcceieration using an inclined plan Eplaeee 8) During vibrating spring experiment data table is given. Plot Force (y-axis) vs change in L(x-axis) and determine the slope Trial 1 Change in L in meters 0.50 0.80 1.40 1.90 Force (N) 1.5 3.0 4.5 6.0 4 t untor mins 20 of enerax and aluminum can gains 10 J energy. What is theA sphere of copper has a radius of 8.00 cm and is compressed uniformly by a force of 5.00 × 108 N. The bulk modulus for copper is 140 x 10⁹ N/m². Calculate the sphere's change in volume AV after compression. Calculate the sphere's final radius R. AV = R = 3.81 x107 Incorrect 0.075 -7 Incorrect m³ mFor a bronze alloy, the stress at which plastic deformation begins is 295 MPa and the modulus of elasticity (E) is 108 GPa. (a) What is the maximum load (Fy) that can be applied to a specimen having a cross-sectional area of 317 mm² without plastic deformation? (b) If the original specimen length is 121 mm, what is the maximum length to which it may be stretched without causing plastic deformation?
- Member BC has a square cross section. The diameter of the pins at A and B are 3 cm and 2 cm respectively. If the allowable normal stress for member BC is allow = 25 MPa and the allowable shear stress for the pins iS Tallow = 12 MPa, calculate the maximum force intensity w (in N/m). 4 cm В 50° 3 m A WA 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 (UV) 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 homogeneousA cylindrical specimen of some metal alloy of 8 mm in diameter is stressed elastically in tension. A force of 15700 N produces the elastic modulus of 138 GPa of the specimen, the longitudinal strain is: O a. 2.26 O b. 2.23 O c. 2.28 O d. 2.29
- The face of an aluminum plate, which is fixed in place, measures 90 cm by 90 cm. The thickness of the plate is 6 cm. A force parallel to it, produces a shear strain of 0.0060. The shear modulus of aluminum is 3.0 × 10^10 Pa. Find the displacement of the upper force.if Vf=0.8 (volume fraction fiber) longitudinal modulus=? poisson's ratio=? in-plane shear stress=?:)
- 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.(SI units) A fiberglass composite consists of a matrix of vinyl ester and reinforcing fibers of E-glass. The volume fraction of E-glass = 30%. The density of the vinyl ester = 0.882 g/cm3, and its modulus of elasticity = 3.60 GPa. The density of E-glass= 2.60 g/cm3 and its modulus of elasticity = 76.0 GPa. A section of composite 1.00 cm by 25.00 cm by 200.00 cm is fabricated with the E-glass fibers running longitudinal in the 200-cm direction. Assume there are no voids in the composite. Determine the (a) mass of vinyl ester in the section, (b) mass of E-glass fibers in the section, and (c) density of the composite. Determine the modulus of elasticity in (d) the longitudinal direction of the glass fibers and (e) the perpendicular direction to the glass fibers.A structural steel bar with a 3.6 in. x 0.890 in. rectangular cross section is subjected to a tensile axial load of 54 kips. Determine the maximum normal and shear stresses in the bar. Answer: Omax i ! ksi %3D Tmax = i ksi