A 5.0 × 102 N object is hung from the end of a wire of cross-sectional area 1x10-6 cm2. The wire stretches from its original length of 200.00 cm to 200.50 cm. What is the stress on the wire?   1.0 × 10^6 N/m2   1.0 × 10^8 N/m2    5.0 × 10^8 N/m2   5.0 × 102 N/m2

Q: A vertical solid steel post of diameter d = 26 cm and length L = 2.70 m is required to support a…

A: The objective of the question is to calculate the stress and strain in a steel post supporting a…

Q: a wire of radius 0.2 x 10^-3 m is suspended from the ceiling.When a weight (force) of 5.0N is…

A: Given, Weight (force) hanging,F=5 N Radius of wire, r=0.2×10-3m

Q: A diamond rod and a tungsten rod have the same length and diameter and are subjected to the same…

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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: The ultimate strength of a metallic wire for tension is 2.0 x10^8 Pa. The wire was set up with a…

A: Given: s=2.0*108 Pad = 0.5 cm = 0.005 mM = 200 Kg

Q: A shear force of 350 N is applied to one face of an aluminum cube with sides of 30 cm while the…

A: Given :            Force F = 350N            Side   S = 30cm =0.3m            The shear modulus for…

Q: The figure represents an insect caught at the midpoint of a spider-web thread. The thread breaks…

A: Given,breaking stress of the string, 9.2 ×108 N/m2strain, 2.00lengthh of the thread, L = 3.0 cmcross…

Q: A steel wire of length 2.08 m with circular cross section must stretch no more than 0.200 cm when a…

A: Given data, Force F=380 N Length L0=2.08 m Young's modulus Y=2×1011 Pa Change in length ∆L=0.2×10-2…

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

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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 0.600-mm diameter wire stretches 0.500% of its length when it is stretched with a tension of 20.0…

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Q: A copper wire of length 7.9 m, cross sectional area 2 x 10 m²and Young's modulus 11 x 1010 N/m has a…

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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: Two rods, one made of copper and the other of steel, have the same dimensions. If the copper rod…

A: Write the expression for Young’s modulus, solve it for the stress of the copper rod as follows.

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 mineshaft has an ore elevator hung from a single braided cable of diameter 2.5 cm. Young’s modulus…

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Q: A three-legged wooden bar stool made out of solid Douglas fir has legs that are 2.0 cm in diameter.…

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Q: A 586-N object is hung from the end of a wire of cross-sectional area 0.04 cm2. The wire stretches…

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Q: A biomechanical model of the bones and biceps muscles of a person's arm supporting a mass m=2 kg is…

A: Stress is a quantity that describes the magnitude of forces that cause deformation. Stress is…

Q: A cable is 100 m long and has a cross-sectional area of 1.0 x 10-6 m2. A 1000 N force is applied to…

A: The objective of the question is to find out how far the cable stretches when a force is applied to…

Q: A 557-N force is applied to stretch a cable, 66-m long and has a cross-sectional area of 2.8 mm^2.…

A: Given F=557 N L=66m A=2.8 mm2 Y=1.0x10^11 N/m2

Q: A solid copper cube has an edge length of 82.4 cm. How much stress must be applied to the cube to…

A: The initial edge length of the cube is ai = 82.4 cm = 0.824 m The final edge length of the cube is…

Q: The leg bone (femur) breaks under a compressive force of about 8.20 × 104 N for a human and 11.7 ×…

A: Compressive force for human bone ( F human ) = 8.20 × 104 N Compressive force for horse bone ( F…

Q: A bob of mass 30 kg hangs from a copper wire ( Y= 11x10 ^10 N/m^2). The wire has an initial length…

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Q: The largest tendon in the body, the Achilles tendon, connects the calf muscle to the heel bone of…

A: Write the expression for young’s modulus of the material.

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: Young's modulus

A:

Q: A steel cable 2.0 m long has a cross-sectional area of 0.07 m2. A 200-kg machine is hung from the…

A: Length of cable L = 2.0 m Cross-sectional area A = 0.07 m2 Mass of machine M = 200 kg Young modulus…

Q: A cable supports a lift that moves up with an upward acceleration of 2 m/s2. Given that the…

A: Given, Upward acceleration,a=2 m/s2 Proportional limit stress,σ=10.1×109N/m2 Area of…

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: Two strips of metal are riveted together at their ends by four rivets, each of diameter 6.0 mm. What…

A: Given, Diameter of the metal bar, d = 6.0 mm = 6.0 × 10–3 mRadius, r = d/2 = 2.5 × 10-3 m Maximum…

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 242-N object is hung from the end of a wire of cross-sectional area 0.01 cm2.  The wire stretches…

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Q: A mass of 3000 kg hangs at the end of a steel rod 5.0 meters in length.  The area of the cross…

A: Given Data: The mass of a steel rod is, m=3000 kg The actual length of a rod is, l=5 m The…

Q: The 5.00 N block shown in the drawing rests on the level ground. Which face(s) experience(s) the…

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Q: A 73-kg snow skier is being pulled up a 19° slope by a steel (Young's modulus 2.0 x 10¹1 N/m²)…

A:

Q: The anterior cruciate ligament in a woman's knee is 2.5 cm long and has a cross-sectional area of…

A: Given that the length of the ligament is 2.5cm, its cross-sectional area is 0.50cm2, its Young’s…

Q: An aluminum wire of length 4.3 m and diameter 2.5 mm is connected to a steel wire of length 3.1 m…

A: The change in length for aluminum is, ∆lAl=FlAYAl          =49.84.3π2.5×10-3227×1010…

Q: A rope of length 40.0 meters and 5.0 mm in diameter elongates by 1.0 meters when supporting a 50.0…

A: Given data:  Original Length (L) = 40.0 m Diameter (d) = 5.0 mm = 5.0 × 10-3 m Elongation in length…

Q: A nail with a diameter of 1.00 mm projects 25.0 mm horizontally outward from a wall. A 40.0 N…

A: Given value--- diameter = 1mm . Force = 40 N. shear modulus = 3.4 × 1010 N/m2 . l = 25 mm. We have…

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).