To penetrate armor, a projectile’s point concentrates force in a small area, creating a stress large enough that the armor fails. A species of jellyfish launches a pointed needle that can penetrate the hard shell of a crustacean. The rapid deceleration on impact creates a 32 μN force on the tip, which has a very small 15 nm radius. What is the resulting stress? How does this compare to the ultimate stress of steel?

Q: A uniform rope of cross-sectional area 0.50 cm² breaks when the tensile stress in it reaches 6.00 x…

A: Cross sectional area (A) = 0.50 cm2 Tensile stress (T) = 6×106 Nm2

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

A: Stress scale, s = 350 Strain scale, ε = 0.010

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: After a fall, a 95 kg rock climber finds himself dangling from the end of a rope that had been 15 m…

A: Given:  mass, m = 95 kg  length of rope, L = 15 m  diameter of rope , d = 9.6 mm  extension in…

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

A:

Q: A bar with a uniform cross-sectional area of 300 mm² is subjected to axial loads, as shown in the…

A: Correct option (b) 140 Mpa

Q: Would you expect a large or small stress to be required to deform a spider web? Why is this…

A:

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

A:

Q: The boom in the figure is 2m long and weighs 100 N. If the 800N load is suspended 50cm from the end,…

A:

Q: After a fall, a 71 kg rock climber finds himself dangling from the end of a rope that had been 15 m…

A:

Q: Choose from the following choices the correct answer for the elastic modulus that describes the…

A: (i) A block of iron is sliding across a horizontal floor. The friction force between the block…

Q: all forces on the free-body diagram of a body can be computed using only equilibrium analysis, the…

A: If all forces on the free body diagram of a body can be computed using only equilibrium analysis ,…

Q: The yield strength of an alloy is 7.0 x 108 N/m? What is the minimum radius rmin of a 3.0 m long…

A: Given that - restoring normal force  Stress To Find - We have to determine the value of the…

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

A: Given data-  The figure shows the stress strain curve for a material for which, Stress s=320 in…

Q: After a fall, a 110 kg rock climber finds himself dangling from the end of a rope that had been 15 m…

A:

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

A: Stress for material is given as = 260* 10 6 N/M2 Here ∈ = 0.0070 So strain = 2∈ = 2…

Q: A tangential force of 0.004 KN affected the upper surface of a rectangle 5 mm high, 3 cm long and 5…

A: Given Dimensions, l=3 cm= 3×10-2mw=5 cm=5×10-2mh=5mm=5×10-3m Tangential force, F=0.004 KN= 4N…

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…

A:

Q: A tensile stress is to be applied along the axis of a cylindrical brass rod with diameter of 15 mm.…

A: The lateral strain is, εx=∆dd0     =-3.5×10-215×10-3     =-2.33 The axial strain is, εz=-εxν…

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

A: The stress-strain curve is shown below.

Q: A particular human hair has a Young's modulus of 3.65×109 N/m2 and a diameter of 155 μm. If a 259 g…

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

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: What is the load should be placed on a wire of diameter 2 mm so that the permitted strain does not…

A: Given data: Strain =1/1000=10-3. Modulus of elasticity Y=35×1010 N/m2. Diameter of the wire d=2mm

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

A:

Q: The yield strength of an alloy is 4.0 x 108 N/m?. What is the minimum radius rmin Oof a 8.0 m long…

A:

Q: The figure shows an approximate plot of stress versus strain for a spider-web thread, out to the…

A: We  have,  stress=forcearea and                strain=change in lengthoriginal lengthHence,  work…

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…

Q: Assume that Young's Modulus for bone is 1.50 ✕ 1010 N/m2 and that the bone will fracture if more…

A: (a) Let us calculate the cross-sectional area, A of the bone:

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

A: (a) Write the given data. σ=320  106 N/m2ε=0.0040

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

A: s = 350 ×106 Nm2ε = 0.010

Q: A compressive force of 3.1 × 10ª N is exerted on the end of a 23-cm-long bone of cross-sectional…

A: applied compressive force(F) = 31000 N Cross sectional area of bone = 3.7 cm 2 = 0.00037 m2…

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

A:

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

A:

Q: Find the mass of the picture hanging from a steel nail as shown, given that the nail bends only 1.80…

A: The force applied perpendicular to the L0 and parallel to the cross sectional area A can be…

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: The Howe roof truss shown carries the given loads. The wind loads are perpendicular to the inclined…

A:

Q: P-3. A 50 mm diameter steel shaft rotates at 240 rpm. If the shearing stress is limited to 82 MPa.…

A:

Q: 12 mm -75 mm-| |–12 mm 12 mm 75 mm 250 mm D H|-12 mm

A:

Q: accelerates at a rate of 4.2 m/s^2 when it realizes that it is hooked. You only used fishing line…

A: The tensile strength is the resistance of a material to break or undergo any deformation , here ,the…

Q: What is the compressive stress ?/?F/A on a woman's feet, in units of kilopascals (kPa)(kPa) , if the…

A: mass = 66 kg weight = 66 * 9.8  = 646.8 N weight on each foot = 646.8/2  = 323.4 N Area of each shoe…

Q: What does the stress in a composite beam depend on? O the modulus of elasticity of both materials…

A: The stress in a composite beam is given by   where I1 and I2 are the moments of inertia about the…

Q: A particular human hair has a Young's modulus of 3.63×109 N/m2 and a diameter of 145 μm. If a 228 g…

A: Write the expression for Young’s modulus, and solve for the change in length of the hair.

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

A:

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

A:

Q: A 30.0 kg hammer strikes a steel spike 2.30 cm in diameter while moving with speed 20.0 m/s. The…

A: Given : Mass of hammer is 30.0 kg Hammer rebounds speed is 10.0 m/s

Q: In her gymnastic routine, Regina dismounts from the uneven-parallel bars and lands straight-legged…

A:

Q: Three plates, secured by a 60 mm bolt, are being pulled at opposite directions alternately. What…

A: Diameter of the bolt, D=60 mmRadius of the bolt, R=30 mm=30×10-3 mStress, P=175 MPa

Q: The figure shows an approximate plot of stress versus strain for a spider-web thread, out to the…

A: Solution:-

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).