A 100-kg mass suspended from a wire whose unstretched length is 4.00 m is found to stretch the wire by 7.00 mm. The wire has a uniform cross-sectional area of 0.100 cm^2. (A) If the load is pulled down a small additional distance and released, find the frequency at which it vibrates. Express your answer in hertz.   (B) Compute Young's modulus for the wire. Express your answer pascals.

Q: A steel cube of side length L = 0.5 m is subjected to a shearing force of 5000 N along the top…

A: Length=0.5m Shear force=5000N Shear constant=8.3×10^10N/m2 Shearing angle=?

Q: A copper metal cube has each side of length 1m. The bottom edge of the cube is fixed and tangential…

A: We have to compute-Lateral displacement (x)=?Given that-Length (L)=1 mForce (F)=4.2×108 NModulus of…

Q: Find the minimum diameter of an | = 15.1 m long tungsten wire that will stretch no more than 7.00 mm…

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Q: A copper (shear modulus 4.2 x 1010 N/m²) cube, 0.442 m on a side, is subjected to two shearing…

A:

Q: a) Sketch a stress-strain diagram for a metal indicating the proportional limit, yield point,…

A:

Q: A rectangular bar of length L has a slot in the central half of its length. The bar has width b,…

A:

Q: A horizontal aluminum rod 2.9 cm in diameter projects 7.2 cm from a wall. A 950 kg object is…

A:

Q: A brass wire with Young’s modulus of 92.0 GPa is 1.95 m long and has a cross-sectional area of 5.00…

A: The objective of the question is to find out how much a brass wire stretches when a certain weight…

Q: A hollow cylindrical steel shaft is 1.5 m long and has inner and outer diameters respectively equal…

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Q: In the Challenger Deep of the Marianas Trench, the depth of seawater is 10.9 km and the pressure is…

A:

Q: A steel bar is stresses to 250 MPa. The modulus of elasticity is 250 GPa. The bar is 80 mm diameter…

A:

Q: Artificial diamonds can be made using high-pressure, high-temperature presses. Suppose an artificial…

A: Initial volume (V) = 1.28×10-6 m3 Pressure or Stress (P) = 5.05 GPa or 5.05×109 Pa Bulk Modulus (B)…

Q: A 2 m long steel rod has a cross-sectional area of 0.3 cm?. The rod is a part of a vertical support…

A: The stress of the rod is given by F/A Strain is given by dL/L                    where F= Force…

Q: If a pressure applied to 1 kg of water is 13.2 x 10^7 N/m^2 causes a percentage reduction in volume…

A:

Q: A cylindrical beam has a diameter of 1.8 m and a shear modulus of 1.0 x 1010 N/m2 projects out a…

A: Given, diameter of a cylinder beam is d=1.8m so the radius of the cylinder beam is r=0.9m shear…

Q: Q. 29: A wire of length (L) and radius (r) is loaded with a weight (Mg). If (Y) and (o) denote the…

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Q: A 8-mm-thick rectangular alloy bar is subjected to a tensile load P by pins at A and B, as shown in…

A:

Q: A solid steel rod with a length of 2 meters and a cross-sectional area of 0.02 square meters is…

A: Stress and strain are used to characterize how a material deforms under external forces.Stress is a…

Q: Two parallel and opposing forces of each value (4000N) act tangentially on opposite sides of a cube…

A: Given: Force F=4000 N Side length  L=25 cm=25×10-2 m Shear modulus  S=80 GPa=80×109 Pa

Q: The bell crank is in equilibrium for the forces acting in rods (1) and (2). The bell crank is…

A: Solution:-           Using the FBD shown, calculate the reaction forces that act on the…

Q: A structural steel bar with a 3.6 in. x 0.890 in. rectangular cross section is subjected to a…

A:

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

A: Given data *The frictional force acting on each foot is F = 20.0 N *The area of each shoe's sole is…

Q: Four wire of the same material but having different lengths subjected to same load. Which of the…

A: To find- Length of wire. Combination of length (L) and radius (r) which has highest elongation.…

Q: A copper (shear modulus 4.2 x 1010 N/m²) cube, 0.450 m on a side, is subjected to two shearing…

A:

Q: A 1.05-m-long rod of negligible weight is supported at its ends by wires A and B of equal length…

A: This question involves two concepts: (A) Free body diagram and subsequent condition for the static…

Q: A square steel plate has area Im² and thickness 5 cm. The bottom edge is fixed. A tangential force…

A: Shear modulus, also known as Modulus of rigidity, is the ratio of shear stress to shear strain that…

Q: A cubic marshmallow is 3 cm on each side sitting in a room at atmospheric pressure (1.01x105 Pa).…

A: Original side of cube is Pressure is The new side of cube is The pressure at which volume expands is…

Q: A rubber band got extended to 15 cm when you apply a force of 10 N. If its original length was 10…

A: Given force F =10N and extended band length is L'  =15cm and original length is L=10cm thickness…

Q: A shaft transmits a moment of force of 1130 Nm. Its allowable stress is 48.3 MPa. Determine the…

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Q: The 100-kg uniform rectangular plate is supported by an ideal pivot at O and a spring which must be…

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

A:

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: A homogeneous bar, of mass m = 100kg, is suspended from three symmetrically located vertical wires…

A:

Q: For a brass alloy, the stress at which plastic deformation begins is 350 MPa, and the modulus of…

A: Solution: Given that Plastic strentgh = 350 MPa E = 103 GPa

Q: An oil specimen has an initial volume of 597 cm³ and is subjected to 3.6 MPa pressure increase. The…

A: Initial volume V=597 cm3 Rise in volume △V=0.35 cm3 Rise in pressure △P=3.6 MPa=3.6×106 Pa To find:…

Q: A 3.5 cm cube of unknown metal has a shear modulus of 5.0x 10°N/m ? absorbed a force of 0.40 N.…

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

A:

Q: A 469 kg load is hung on a wire of length 6 m, cross- sectional area 0.200 x 10¬ 4 m², and Young's…

A: Given : m = 469 kg L = 6 m A = 0.200 × 10-4 m2 Y = 8 × 1010 N/m2

Q: Ex. 44: When a liquid of volume 4 liter is subjected to an additional pressure of 5 × 107 N/m², the…

A: We need to compute-Bulk modulus (K)=?The data given as-Volume of liquid (V)=4 litAdditional pressure…

Q: In a standard tensile strain test, a 20 mm diameter aluminum rod is subjected to a tensile force of…

A:

Q: A wire of length (L), density (p) and 'Young's modulus (Y) produces an elongation 1 in wire by…

A: We need to compute-Frequency of wire=?The data given as-Length of wire=LDensity of wire=ρYoung's…

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).