(A-(/2) (A-/2)(ptq)L)202 be 2. In engineering, the modulus of elasticity Is a way to measure how much an object deforms along an axis when opposing forces are applied among that axis. The formula can be expressed as E = ddsof elasticity, F is the axial force, & is a cdeformation measure, L s the original length of the object, and A is the croSs-sectional area. (F2-F,)Lo where E is (82-81)A' Part A: Rearrange the elasticity formula to find the cross-sectional area, A Part B: Rearrange the elasticity formula to find the original length, Lo, of the object.

Q: By what amount does the nylon stretch?

A:

Q: One end of a steel rod of radius R = 10mm and length L = 90 cm is held in a vise. A force of…

A: solution as .

Q: We have a rod made of a certain metal. The rod’s length is L = 1.2 m and has a circular cross…

A: Given L = 1.2 m r = 3.2 mm m = 22 kg d = 2.5 mm we have to find out  Young’s modulus for this metal.

Q: A steel cube of side length L = 0.5 m is subjected to a shearing force of 5000N along the top…

A:

Q: "One end of a steel rod of radius R = 10mm and length L = 90 cm is held in a vise. A force of…

A: Youngs modulus=FL/AΔL

Q: A nylon rope used by mountaineers elongates 1.8 m under the weight of a 68-kg climber. If the rope…

A:

Q: Normal forces of magnitude 1.0 × 106 N are applied uniformly to a spherical surface enclosing a…

A:

Q: A man with a mass of 71.6 kg stands on one foot. His femur has a cross-sectional arca of 8.00 cm2…

A: Given : Mass of man = 71.6 kg Cross-sectional area of femur = 8.00 cm2= 8.00*10-4 m2 Uncompressed…

Q: In the Challenger Deep of the Marianas Trench, the depth of seawater is 10.9 km and the pressure is…

A:

Q: A man with a mass of 70.5 kg stands on one foot. His femur has a cross-sectional area of 8.00 cm and…

A: mass of man (m) = 70.5 kg weight (w) = m×g = 70.5×9.8= 690.9 N Cross sectional area of femur (A) = 8…

Q: A leg has 1.4 m shaft of bone with an average cross sectional area of 3x10-4 m². What is the amount…

A:

Q: A wire of uniform cross sectional area of 0.25 mm2 is stretched at both ends by a total force of 65…

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Q: A plastic board with length X and mass Y is leaning against a frictionless wall. The plastic b. made…

A:

Q: A 15 cm long animal tendon ( وتر ) was found to stretch 3.7 mm by a force of 13.4 N. The tendon was…

A: Given: length of animal   lo=15 cm =150 mm            force F=13.4 N            Diameter=D =…

Q: A sign (mass 2500 kg ) hangs from the end of a vertical steel girder with a cross-sectional area of…

A: Given: The mass of sign is m=2500 kg, The cross-sectional area is A=0.016 m2, The length of the…

Q: A vertebra is subjected to a shearing force of 500.0 N. Find the shear deformation, taking the…

A:

Q: Assume a human leg contains a 50cm long bone with an average cross section of 3cm2. By how much (in…

A:

Q: 10) A femur bone of length 30 cm and diameter 2.5 cm is subjected to a compressive tress of 1.5 *10…

A:

Q: a diver stands (80kg) at the end of a diving board, causing the board to dip 10cm. The board has a…

A:

Q: If you bend a rod down, it compresses the lower side of the rod and stretches the top, resulting in…

A: It is given that,

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A: Given: The stress is 70000 kPa. The modulus of elasticity is 175 GPa.

Q: The upper surface of a cube of gelatin, 5.0 cm on a side, is displaced by 0.64 cm by a tangential…

A:

Q: Assume Young's modulus of a femure bone of an effective diameter 2.5 cm is 1.5 x1010 N/m2. The bone…

A: Given: A femur bone of an effective diameter 2.5 cm and it's Young's modulus = 1.5 × 1010 N/m2.…

Q: The bulk modulus of K, modulus of elasticity E and Poisson's ratio is then which of m the following…

A: The relation between the bulk modulus(K), modulus of Elasticity(E) and the Poisson's ratio(ν) is…

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A: Given: Stress=3.0 GPa Strain= 0.230 Required: Young modulus=?

Q: A spider of mass 6.3  10-4 kg hangs from a 70.9 cm long thread whose diameter is 2.0  10-3 mm.…

A:

Q: Consider two steel rods, A and B. B has three times the area and twice the length of A, so Young's…

A: We know that Young's modulus is property of matter and not depend on size . Here, both rods are made…

Q: A man with a mass of 68.3 kg stands on one foot. His femur has a cross-sectional area of 8.00 cm2…

A: GivenM= 68.3 kgA =8.00 cm2 =8.00 ×10-4 m2uncompressed length (L) = 50.4 cm = 50.4 × 10-2 mYoung's…

Q: A vertical steel girder with a crosssectional area of 0.15 m2 has a 1550 kg sign hanging from its…

A: Given: Area of cross section A of the steel girder is 0.15 m2. Mass M hanging at the end is of 1550…

Q: A vertical steel girder with a crosssectional area of 0.15 m2 has a 1550 kg sign hanging from its…

A:

Q: A 50-N force is applied to a metal rod with a length of 10 m and a cross-sectional area of 1.0 x…

A:

Q: In a materials testing laboratory, a metal wire made from a new alloy is found to break when a…

A:

Q: If you bend a rod down, it compresses the lower side of the rod and stretches the top, resulting in…

A: The given relation for the restoring force is

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Q: Young's modulus of nylon is 3.7 × 109 N/m2. A force of 6.0 × 105 N is applied to a 1.5-m length of…

A: Given data: The Young's modulus of nylon is E=3.7×109 N/m2. The force applied is F=6.0×105 N. The…

Q: When a certain liquid freezes, it expands about 10.0%. What would be the pressure increase inside an…

A: Bulk modulus is relative change in volume of a body produced by compressive or tensile stress. And…

Q: A man with a mass of 68.3 kg stands on one foot. His femur has a cross-sectional area of 8.00 cm2…

A: Given:The mass of man, m = 68.3 kgThe area of femur, A = 8 cm2 = 8×10-4 m2The length which is…

Q: Assume Young's modulus for bone is 1.50 x 1010 N/m2. The bone breaks if stress greater than o= 81962…

A: To determine: The maximum force that is exterted on the femur bone

Q: hed by 2.4 cm. For the rope, calculate (a) the strain, (b) the stress, and (c) the Young's modulus.…

A: mass= m = 74 kg length = l = 15m diameter = 2r = 9.8 mm radius = r = 4.9 mm = 0.0049 m stretched…

Q: a cable has a diameter of 4mm and an original length of 2m.The cable is pulled by a force of…

A:

Q: The pole in the figure is a a 90° bend in a power line and is therefore subjected to more shear…

A: Tension in wires at top , T = 3.5 x 104 N Angle made by wire with the vertical , θ = 80° Height of…

Q: A man with a mass of 75.2 kg stands on one foot. His femur has a cross-sectional area of 8.00 cm^2…

A: Given data: mass (m) = 75.2 kg cross-sectional area (A) = 8 cm2 uncompressed length (L) = 50.5 cm…

Q: When a certain liquid freezes, it expands about 11.5%. What would be the pressure increase inside an…

A: Write the expression for bulk modulus

Q: A vertical steel girder with a crosssectional area of 0.15 m2 has a 1550 kg sign hanging from its…

A:

Q: Humans can bite with a force of approximately 809 N. If a human tooth has the Young's modulus of…

A: Let the force applied by the human’s tooth be F, the length of the tooth be L, the area of…

Q: A man with a mass of 71.6 kg stands on one foot. His femur has a cross-sectional area of 8.00 cm2…

A:

Mechanical Properties of Solids

There are three types of matter- solid, liquid and gas. Out of them, solids have a rigid shaped and size. The intermolecular forces of attractions in solids are greatest. Mechanical properties are the physical properties of a material which it shows, when it is provided with certain amount of force or load. These properties are to be kept in mind for various purposes. When a force is applied to an object, the object may or may not get deformed depending upon its elastic property. But every time the object develops a restoring force against the force applied. This is commonly known as stress. If the object changes its dimensions due to the force applied it develops strain ( which is the ratio of change in dimension to the original dimension).