A hammer strikes a metal disk with 150N of force, temporarily making the 25.0mm3 disk lose 0.2mm3 of volume before it snaps back. If the disk has a top surface area of 120mm2 and completely fits under the hammer’s striking face, what is the relevant elastic modulus of the metal? Do not actually solve the problem numerically or algebraically, just pick the one equation and define the relevant knowns and single unknown

Q: For safety in climbing, a mountaineer uses a nylon rope that is 65 m long and 1.4 cm in diameter.…

A: Given: Length of nylon rope L= 65 m long Diameter of rope , d = 1.4 cm Mass of climber, m= 85 kg…

Q: The elastic limit of an alloy is 7.0 x 10% N/m². What is the minimum radius rmin of a 4.0 m long…

A:

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: 7- A steel wire of length 1.5 mand diameterl mmis joined to an aluminumwire of identical dimensions…

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: A cylindrical specimen of some metal alloy of 8.5 mm in diameter is stressed elastically in tension.…

A: Given  T = 15700 N. D = 8.5 mm = 0.0085 m ∆D = 5.3*10-3mm

Q: 1. A frame ABC shown in Figure 2 consists of a tension member AB and a compression member BC. Member…

A: Given that  Mdulus of elasticity,E=200 GPa=200×109Pa Horizontal force,H=150 kN=150×103N Length,L=3.5…

Q: An arbitrary material has an elastic modulus of 118 GPa. How much tensile force was applied to a 100…

A: Given that: Y=118 GPa=118×109 PaL=100 mmD=10 mmReduction of area= 0.1% of initial areaσ=0.29

Q: A steel rod 55 cm long has a diameter of 35.0 cm. The compressive strength (the maximum stress it…

A:

Q: Humans can bite with a force of approximately 791 N. If a human tooth has the Young's modulus of…

A: The change in the tooth's lenght is 7.23×10-6 m.

Q: Polymer in the form of a cylinder with a length of 100 mm and a diameter of 5 mm. If a load is…

A:

Q: Q2: A conveyor beam has the cross section shown below and it is subjected to a be moment. Determine…

A: Solution:-       Given data;                      Area (1) =25×150=3750 mm2…

Q: Humans can bite with a force of approximately 810 N. If a human tooth has the Young's modulus of…

A: SOlution: as given F = 810 N E = youngs modulus of bone= A = 1.5 cm2 = 1.5x10-4 m2 L = 1.5 cm =…

Q: P4. If the cross section of the femur at section a-a can be approximated as a hollow as shown,…

A: Maximum normal stress = 235.98 lb/in2 = 236 psi Detailed solution is given below: Please UPVOTE sir

Q: 2. A tall building with a cross-section A, a mass M and a Young's modulus Y has a height L on Earth.…

A: The mass of the building is M Area of cross section is A Young's modulus Y Height of the building is…

Q: H.W/assume a leg has 0.6m shaft of bone with an average cross sectional area of 1.5 cm.What is the…

A:

Q: 1.4 Axial loads are applied to the compound rod that is composed of an aluminum segment rigidly…

A: P= 10 kN = 10 * 103 N AAl= 600 mm2 ABr= 400 mm2 ASteel= 300 mm2

Q: A force is applied to a circular surface with area 70 cm². The surface is parallel to the x-y plane.…

A:

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: I the stress experience when deformation is caused by tangential forces to the surface * O Inertia O…

A: The stress experienced when force is applied perpendicular to surface is called compressive stress .

Q: A disk between vertebrae in the spine is subjected to a shearing force of 475 N. Find its shear…

A: The expression for the shear modulus is,

Q: For the beam and loading shown, determine the maximum absolute value of bending moment and shear.

A: Draw the free-body diagram of the beam.

Q: A hole is to be punched out of a plate having a shearing strength of 40 ksi. The compressive stress…

A: Solution:-Given thatSharing strength of plate (τs)=40 ksi=40×103 pound/in2Compressive strength of…

Q: В The 3-ft length of steel pipe (Est = 29 x 10° ksi) has a cross-sectional area of 2.0 in? and rests…

A: Given: LBC=5ft=60in, LBC=3ft=36in, Est=29×103ksi,  Eal=10×103ksi, AAB=2in2, dBC=1in, P=20kip The…

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: steel wire 2.0 mm in diameter stretches by 0.029 % when a mass is suspended from it. The elastic…

A:

Q: For safety in climbing, a mountaineer uses a nylon rope that is 65 m long and 1.4 cm in diameter.…

A:

Q: A spider of mass 6.6 x 10-4 kg hangs from a 71.2 cm long thread whose diameter is 2.0 x 10-3 mm.…

A:

Q: Please don't use chatgpt, use the strain energy concept. Looking for a responsible tutor.

A: Step 1:Step 2: Step 3: Step 4:

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: Question 7. The following true stress-strain curve for a carbon nanofiber/epoxy with CaCO3…

A: Formula be used  σ=kεnσ is a true stressε is a true straink and n are constant From the graph we get…

Q: A rectangular timber tie 180 mm x 80 mm is reinforced by a bar of aluminium of 25 mm diameter.…

A: A rectangular timber tie 180 mm x 80 mm is reinforced by a bar of aluminium of 25 mm diameter.…

Q: Load (N) Length (mm) 40 100 40.2 200 40.4 250 41 300 42 350 43 400 45 450 48 420 51 40

A:

Q: The figure shows the stress-strain curve for a material. The scale of the stress axis is set by s -…

A: Given: S = 300 in units of 106 N/m2 ε = 0.010   Solution: a) From the given graph, we have…

Q: Ex/10: A tangential force of 2100 N is applied on a surface area 3 x 10-6 m² which is 0.1 m from a…

A: We have to compute-Modulus of rigidity (η)=?The data provided is given as-F=2100 NA=3×10-6 m2L=0.1…

Q: A 2.3-m-long, 1.0-mm-diameter steel string is pulled by a 4.8 × 103 N tension force. By how much is…

A:

Q: The rubber blocks shown are used in a double U shear mount to isolate the vibration of a machine…

A:

Q: A 2.4-m-long, 1.0-mm-diameter steel string is pulled by a 4 × 103 N tension force. By how much is…

A: Given : L = 2.4 m d = 1 mm = 0.001 m r = d/2 = 0.001/2 = 0.0005 m F = 4 × 103 N Y = 20 × 1010 N/m2

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).