A cable supports a lift that moves up with an upward acceleration of 2 m/s2. Given that the Proportional limit stress =10.1x10^9 N/m2 and the cross-sectional area of the cable=6.5x10^-6 m2. Given that the gravitational acceleration is 9.8 m/s2. What is the maximum load that the lift can carry

Q: Assume the breaking stress of a bone is 1.30 x 107 N/m2, the magnitude of the maximum force a…

A: Given Breaking stress of a bone =1.30x107Nm2 Average diameter of bone =d= 3cm Area of bone=πd24…

Q: steel cable with a cross-sectional area of 3.00 cm^2 has an elastic limit of 2.40x10^8 Pa. Find the…

A:

Q: A 5.0 × 102 N object is hung from the end of a wire of cross-sectional area 1x10-6 cm2. The wire…

A:

Q: A child slides across a floor in a pair of rubber-soled shoes. The frictional force acting on each…

A: NOTE: As per bartleby guidelines we can answer only first question. For remaining questions please…

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: This force is a force that is applied along the plane of an area rather than at right angles to it.…

A: 15  Shear force is a type of force that is applied along the plane of an area rather than at right…

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: A lift of mass 1400 kg is suspended by a steel cable. The lift can move upwards at a maximum…

A: Solution

Q: A vertical steel girder with a cross Section area of 0.15m² has a 1550 kg sing hanging from its end.…

A: Mass M = 1550 kg  Area A = 0.15 m²

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: An axial pull of 1.5 kN is acting on a bar of consisting two equal lengths as shown but of diameter…

A:

Q: What is the area of the stock file if a 1.5 x 10 5kg mass presses down 2.5 feet high stock file that…

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 ball has a radius of 1 meter. The Bulk modulus is 4.2 × 1010 N/m2. It is located on the surface of…

A:

Q: 490 N. Find the shear deformation, taking the vertebra to be a cylinder 3.00 cm high and 4.00 cm in…

A: Shearing force = 490N height h = 3 cm  Radius r = D/2           r = 4/2.        r = 2 cm  .The shear…

Q: The modulus of elasticity of a certain steel material is 200 GPa (Giga Pascal). What is the strain…

A: Modulus of elasticity for a material is defined as the ratio of stress to strain in a body. In this…

Q: A cable is 10.0 m long and has a diameter of 2.00 mm. A force of 45.0 N is applied to the end of the…

A: Length of Cable L=10 m Diameter of the cable d=2.00mm=2*10-3m Force applied to the End of the cable…

Q: A nylon string on a tennis racket is under a tension of 275 N. If the string's radius is 5.00 x 10-4…

A: The equation for the change in length can be obtained from equation for the Young’s Modulus as

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…

A:

Q: A disk between vertebrae in the spine is subjected to a shearing force of 600 N.  Find its shear…

A: Given

Q: When a tension is applied to an aluminum wire it stretches 0.1 m. The initial length of the wire is…

A: The solution can be given as follows :-

Q: The maximum upward acceleration of a lift of total mass 2500 kg is 0.5 ms, The lift is supported by…

A: Answer             2.575 X 10-4m2

Q: A 5.0 x 102 N object is hung from the end of a wire of cross-sectional area 1x10-6 cm². The wire…

A:

Q: An 800Kg lift is suspended by a steel cable whose allowable stress is 1.2x10^8N/m^2. What is the…

A: Given that,  The mass of the lift, m is 800kg. The allowable stress on the steel cable, σ is 1.2×108…

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

A: Given :  scale of the stress axis is set  as s=320 in a unit of 106N/m2 ε=0.0090

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: 1. Rank the following materials based on its rigidity, where 1 is the most rigid and 3 is the least…

A:

Q: A child slides across a floor in a pair of rubber-soled shoes. The frictional force acting on each…

A:

Q: If the deformation produced in 20 mm length rod is 0.085 mm, the strain is equal to: Select one: a.…

A: (d) 0.00425

Q: The bulk modulus of a material is 5.62 × 1011 N/m2. What fractional change in volume does a piece of…

A: bulk modulus of a material is 5.62 × 1011 N/m2. What fractional change in volume does a piece of…

Q: A rod 120 cm long and of a diameter 3.0 cm is stretched by a force of 18 kN. What is its stress? a.…

A: F = 18 × 10³ N  Radius(R) = (3/2) = 1.5 cm  R = 15 mm  Area of cross section is A = πR² => A =…

Q: A steel cable 3.00 cm2 in cross-sectional area has a mass of 2.40 kg per meter of length. If 500 m…

A: The expression for the ratio of the change in length to that of the original,

Q: A very fine fabric 0.020 mm in diameter can support a 20 g object. How does the stress in the fabric…

A: Given The diameter of the fine fabric is df=0.020 mm=0.020×10-3 m. The mass of an object is m=20…

Q: A shear force of 2300 N is applied on a cube of side length 0.50 m, causing it to deform through an…

A:

Q: The point where the stress-strain diagram for structural steel becomes almost horizontal is called…

A: We have to plot the stress strain diagram to do this question.

Q: Shear Stress in terms of its fundamental dimension is O A. M/tL^2 В. M/Lt^2 Ос. MLt D. M/(L^2)(t^2)…

A:

Q: A 5.0 x 102 N object is hung from the end of a wire of cross-sectional area 1x10-6 cm². The wire…

A:

Q: Opposing shearing forces of 5,098 N are applied to the 6.4-cm x 5.49 -cm faces of a metal block…

A: force (F) = 5098 N Area of face on which shearing forces are applied = 6.4 cm ×5.49 cm = 35.136 cm2=…

Q: A 5.0 x 102 N object is hung from the end of a wire of cross-sectional area 1x106 cm?. The wire…

A:

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

A:

Q: When the material is in the region of the stress-strain curve, the material can go back to its…

A: Answer (C) Elastic, temporarily

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

A: Given: s = particular value of stress shown in the graph = 250 x 106 N/m2 ε = particular value of…

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

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: A piece of steel has a height of ten meters and a unit cross-sectional area of 5.0 m³. It supports a…

A: Given: The length of the steel is L=10 m. The cross-sectional area is A=5 m3. The mass is m=30,000…

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).