Human bones have a Young's modulus of 1.5 x 1010 Pa. The bone breaks if stress exceeds 1.5 x 10° Pa. If, for example, a femur of length 25.31 cm experiences this stress compressively, what will be the new length of the bone? Answer must be in cm and in two decimal places.

Q: A 100 N picture hangs from a nail in the wall. The diameter of the nail is 3.00 mm. The shear stress…

A: Write the given values with the suitable variables. F=100Nd=3 mm=3×10-3 m Here, F is the force and d…

Q: A 2.5 meter metal column has a 4500kg load placed on it and it compresses 0.0016 meters.  If the…

A: The Young's modulus is given by, Y=stressstrain The stress is given by, stress=FA Here, F is the…

Q: Consider a copper wire with cross-sectional area 4 mm?. The Young's modulus for copper is 1.1 × 1011…

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Q: A metal rod is 4.00m long and has a cross-sectional area of 0.50cm^2. It stretches 0.20cm under a…

A: Given data:  Original Length (L) = 4.00 m Cross section area (A) = 0.50 cm2 = 0.50×10-4 m2 Stretch…

Q: By applying 2.00 x 106 N/m2 shear stress to a steel bar 2 m in length, calculated the shear bending…

A: Shear Bending Stress(S) for steel is given as,    S=(8.3×108 N/m2)=Shear StressShear strain

Q: A circular rod of cross-sectional area 2 x 10m² has a tensile force of 80 kN applied to it. The…

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Q: 29. A steel wire of length 2.0 m and diameter 1.01 mm is fixed at its upper end and its lower end…

A: The given data are: L=2 md=1.01 mm=1.01×10-3 mm=400 g=0.4 kgE=2×1011 Pa Here, L denotes the length,…

Q: A high-carbon steel wire, circular in cross-section, has a diameter of 14 mm. What is the force (in…

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Q: A horizontal aluminum rod 4.7 cm in diameter projects4.4 cm from a wall. A 1100 kg object is…

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Q: A solid copper cube has an edge length of 88.3 cm. How much stress must be applied to the cube to…

A: Original length (L) = 88.3 cm New length (L') = 88 cm

Q: A 2 m long steel rod has a cross-sectional area of 0.3 cm?. The rod is a part of a vertical support…

A: The stress of the rod is given by F/A Strain is given by dL/L                    where F= Force…

Q: A solid copper cube has an edge length of 89.6 cm. How much stress must be applied to the cube to…

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Q: A solid copper cube has an edge length of 89.3 cm. How much stress must be applied to the cube to…

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Q: A sphere of copper has a radius of 3.00 cm and is compressed uniformly by a force of 4.00 x 10° N.…

A: Given that, Force (F)= 4× 10⁸ N Radius (r)= 0.03 m Bulk modulus (k)= 140× 10⁹ N/m² Let the final…

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…

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Q: A circular shaft has a diameter d [m] that varies with axial position x [m] according to d =…

A:

Q: 20. A 20-m long steel wire (cross-section 1.0 cm2, Young's modulus 2.0 x 10I N/m²), is subjected to…

A: Given that Original length of wire L = 20 m Cross section area A = 1 cm2 = 1 X 10-4 m2 Young's…

Q: A cubic industrial material whose one side is of length 2.0 cm has a bulk modulus of 4.7 x 10^5…

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

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Q: Steel beams are used for load bearing supports in a building. Each beam is 4.0 m long with a…

A: Length , L = 4 m Cross sectional area , A = 9.3 x 10-3 m2  Load , F = 7.5 x 104 N Young's modulus ,…

Q: A solid copper cube has an edge length of 89.9 cm. How much stress must be applied to the cube to…

A: The ratio of volumetric stress with volumetric strain is defined as the bulk modulus. To solve the…

Q: A solid copper cube has an edge length of 81.6 cm. How much stress must be applied to the cube to…

A: Given: L=81.6 cmL'=81.0 cmB=1.4*1011 N/m2

Q: The figure shows an approximate plot of stress (10° N/m2) versus strain for a thread that will break…

A: Stress versus strain graph is given for a thread. the stress is plotted along y axis and the strain…

Q: Assume Young's modulus for bone is 1.50 x 1010 N/m2. The bone breaks if stress greater than o= 45844…

A: Young's modulus is Y= 1.5×10¹⁰  N/m²  Maximum stress is σ = 45844 N/m²  Effective radius of the bone…

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

A: Given :      Young's modulus for bone, Y = 1.50*1010 N/m2       Stress to break the bone, S =…

Q: solid copper cube has an edge length of 81.3 cm. How much stress must be applied to the cube to…

A: Given  Initial length l1 = 81.3 cm = 0.813 m  Final length l2  = 81 cm = 0.81 m  Bulk modulus B =…

Q: Young's modulus of iron rod is 21 x 1010 N/m². A force of 7.0 × 105 N is applied to a 1.5-m length…

A: Youngs modulus = stressstrain=F/A∆L/L

Q: Nylon breaks when the tensile stress within it reaches 1.0 x 10 ’ Pa. Which range below includes the…

A: Given data: The stress in thread is σ=1×109 Pa. The diameter of thread is d=1.00 mm.

Q: A steel wire of length 1.97 m with circular cross section must stretch no more than 0.240 cm when a…

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Q: A mass of 35.0 kg is suspended from a steel wire of diameter 1.00 mm and length 11.3 m. How much…

A: Stress is defined as the force applied per unit area and it is given as σ = FA…

Q: Young's modulus of iron rod is 21 x 1010 N/m?. A force of 7.0 x 105 N is applied to a 1.5-m length…

A: Given data as per question Young modulus = 21*1010 Force  =    7*105  A    =  0.25

Q: One model of the length LACL of a person's anterior cruciate ligament, or ACL, relates it to the…

A: The linear equation                        Lacl = 0.04606h - (41.29mm)

Q: Assume Young's modulus for bone is 1.50 x 1010 N/m2. The bone breaks if stress greater than 0= 62780…

A: Young's modulus for the bone,  Breaking stress,  Effective radius of the bone,

Q: A solid copper cube has an edge length of 89.6 cm. How much stress must be applied to the cube to…

A:

Q: A steel cable of diameter 2 cm is acted upon by 50000 N of tension. If Young’s modulus is 20 x 1010…

A:

Q: A solid copper cube has an edge length of 81.9 cm. How much stress must be applied to the cube to…

A: Given  Initial length l1 = 81.9 cm = 0.819 m  Final length l2  = 81 cm = 0.81 m  Bulk modulus B =…

Q: A steel rod 55 cm long has a diameter of 30.0 cm.  The compressive strength (the maximum stress it…

A:

Q: A solid copper cube has an edge length of 89.6 cm. How much stress must be applied to the cube to…

A: The stress that must be applied to the cube is 2.726 x 109 N/m2

Q: A solid copper cube has an edge length of 93.8 cm. How much stress must be applied to the cube to…

A: Given Initial length of the copper cube is li=93.8 cm=0.938 m Final length of the copper cube is…

Q: Young's modulus of iron rod is 21 × 1010 N/m². A force of 7.0 x 105 N is applied to a 1.5-m length…

A: Force applied, F = 7x105 N Length of iron rod, l = 1.5 m Cross sectional area of iron, a = 0.25 m2…

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

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Q: A solid copper cube has an edge length of 87.9 cm. How much stress must be applied to the cube to…

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Q: When water freezes, it expands by about 9.00%. What would be the pressure increase inside your…

A: Given ∆VV=0.09 Bulk modulus (B)=2.0*109 N/m2 Required ∆P=?

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).