A stainless-steel orthodontic wire is applied to a tooth, as in Figure P9.14. The wire has an unstretched length of 3.1 cm and a radius of 0.11 mm. If the wire is stretched 0.10 mm, find the magnitude and direction of the force on the tooth. Disregard the width of the tooth and assume Young’s modulus for stainless steel is 18 × 1010 Pa.

Q: The elevator in a vertical mine shaft is supported by a steel cable of cross-sectional area 3.20 x…

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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: The dimensions of a rectangular block of brass (Young's modulus 9.0x1010 N/m², shear modulus…

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Q: An 9.63-kg stone at the end of a steel (Young's modulus 2.0 x 1011 N/m²) wire is being whirled in a…

A: The strain in the wire is strain=LΔL​=2.43×10−4Explanation:Step 1: Given- The mass of the stone is…

Q: On a forest trail a 4m long birch tree trunk is laid across a ravine as a bridge. The trunk is 4m…

A: Given that, The length of the trunk = 4 mThe diameter of the trunk = 20 cmThe Young's modulus of…

Q: A three-legged wooden bar stool made out of solid Douglas fir (the Young's modulus is…

A: Step 1:Mass is 80kgDiameter is 20cm is 0.20mYoung modulus is 1×1010m2N​Step 2:The formula for the…

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: What hanging mass will stretch a 2.0-mm-long, 0.59-mmmm-diameter steel wire by 1.2 mmmm ? The…

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Q: A 45 kg boy whose leg bones are 5 cm² in area and 50 cm long falls through a height of 2 m without…

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Q: Ropes for rock climbing have a diameter of 10.5 mm and a Young's modulus of 8.72x10 N/m2. If a rock…

A: Given: Diameter,d=10.5mm=10.5×10-3mRadius,r=5.25mm=5.25×10-3mYoung's…

Q: Young's modulus for copper is thousands of times greater than that of rubber. Two meter-sticks have…

A: Young's modulus for copper is greater than that of rubber.  Ycopper > Yrubber   The…

Q: A cylindrical aluminum rod, with an initial length of 0.8769 m and radius 996.0 µm, is clamped in…

A: Given initial length of cylindrical aluminum rod Li = 0.8769 m initial radius of cylindrical…

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 that,Force : F = 557 (N)L = 66 (m)Area : A = 2.8 (mm2)Y = 1×1011 (N/m2)Here we need to find…

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 particular human hair has a Young's modulus of 3.31 x 10° N/m2 and a diameter of 145 um. If a 236…

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

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Q: A 1.9-m-long, 1.0-mm-diameter steel string is pulled by a 3.6 × 103 N tension force. By how much is…

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Q: Young's modulus

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Q: A cylinder has length L=40.5 cm and radius R=10.5 mm experiences a force F=67 kN as in Figure 6. It…

A: Given:  The force experienced by the cylinder is F = 67 kN The length of the cylinder is L = 40.5 cm…

Q: water has a bulk modulus of 2.2 x 109 n/m2. Suppose water at an atmospheric pressure has a density…

A: The bulk modulus of water is The density of the water at atmospheric pressure is The depth of the…

Q: A cube with 2.0 cm sides is made of material with a bulk modulus of 4.7 x 10³ N/m². When it is…

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Q: A 13.2 kg child jumps up and grabs a (round) horizontal tree branch that has a diameter of 5 cm. The…

A: GivenMass of child m=13.2 kgDiameter of tree branch d =5 cm=0.05 mLengh of Branch iinitialy from…

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: A wire of length “Lo” and cross-sectional area S supports a weight W vertically. a) This fine wire…

A: Given dataA wire of length Locross-sectional area Sa weight W vertically. Step 1:From Hooke's Law,…

Q: Let A be the last digit and let B be the second to last digit of your 8-digit student ID.  A steel…

A: Mass of object  =  139.8 kgExplanation:

Q: An electrical home appliance rests on four rubber pads, each one having a height of 0.62 cm and a…

A: Calculate the area of the pad. A=πR2A=π(0.34 cm×1 m100 cm)2A=3.63×10−5 m2

Q: A spider silk line has a circular cross section. Its diameter is 7.14 micrometers. Its unstretched…

A: When  spider changes from the thread,  stress will be developed in it , whichbleads yo the expansion…

Q: Problem 6: The assembly shown below consists of 30 mm diameter aluminum bar ABC with fixed collar at…

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Q: A farmer making grape juice fills a glass bottle to the brim and caps it tightly. The juice is…

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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: A metal rod that is 3.10 m long and 0.48 cm2 in cross-sectional area is found to stretch 0.19 cm…

A: Length of the rod L= 3.10 mCross sectional area of the rod A=0.48cm2= 0.000048 m2Tension in rod…

Q: A sphere of copper has a radius of 8.00 cm and is compressed uniformly by a force of 5.00 × 108 N.…

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Q: A man with a mass of 72.1 kg stands on one foot. His femur has a cross-sectional area of 8.00 cm2…

A: A) Using the formula for Young's modulus, Y=FLA∆L∆L=FLAY=mgLAY=72.1 kg9.8 m/s20.496 m8.00×10-4…

Q: A cylindrical aluminum rod, with an initial length of 0.8880 m and radius 849.7 µm, is clamped in…

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Q: A 10.2 m long wire with a cross-sectional area of 0.126 cm? stretches by 0.196 cm when a tensile…

A: The young's modulus of the material is a fundamental property that depends upon the temperature and…

Q: When pushing off of a pool wall, a swimmer exerts a force parallel to the length of her femur,…

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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).