Physics Chapter on Elasticity and Materials

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Questions and Answers

What occurs when a force is applied to a helical spring and then removed?

  • The spring collapses completely.
  • The spring undergoes plastic deformation.
  • The spring maintains its stretched shape permanently.
  • The spring returns to its original size and shape. (correct)

Which property describes a material that does not return to its original shape after being deformed?

  • Elasticity
  • Plasticity (correct)
  • Rigidity
  • Flexibility

Why is understanding the elastic behavior of materials important in engineering design?

  • To design structures that are completely rigid.
  • To create lightweight and strong designs. (correct)
  • To ensure all materials behave the same way.
  • To eliminate all forms of deformation.

What is the deformation called when a solid body changes under a force but returns to its original shape after the force is removed?

<p>Elastic deformation (D)</p> Signup and view all the answers

Which of the following best describes a rigid body?

<p>A solid object with a definite shape that does not deform under normal conditions. (A)</p> Signup and view all the answers

What is Young's modulus defined as?

<p>The ratio of tensile stress to longitudinal strain (D)</p> Signup and view all the answers

What unit is Young's modulus measured in?

<p>Pascal (Pa) (C)</p> Signup and view all the answers

Which material has the highest Young's modulus according to the provided data?

<p>Steel (C)</p> Signup and view all the answers

The elastic limit is referred to in what units in the provided data?

<p>Percentage (%) (D)</p> Signup and view all the answers

For which of the following materials is Young's modulus the lowest?

<p>Bone (Compressive) (A)</p> Signup and view all the answers

What does hydraulic stress represent?

<p>The hydraulic pressure applied per unit area (B)</p> Signup and view all the answers

Which equation represents Hooke's Law?

<p>Stress = k x strain (B)</p> Signup and view all the answers

What occurs at the proportional limit on a stress-strain curve?

<p>Elastic recovery occurs when stress is removed (D)</p> Signup and view all the answers

What is reflected by point D on a stress-strain curve?

<p>Ultimate tensile strength (B)</p> Signup and view all the answers

In which region does Hooke's Law hold true on the stress-strain curve?

<p>Elastic region (D)</p> Signup and view all the answers

What characterizes plastic deformation in materials?

<p>Rapid strain increases with small stress changes (A)</p> Signup and view all the answers

What does the fracture point (E) indicate on the stress-strain curve?

<p>Material failure occurs (B)</p> Signup and view all the answers

Which of the following substances typically has the highest yield strength?

<p>Steel (D)</p> Signup and view all the answers

What is the stress experienced by the structural steel rod?

<p>3.18 x 10^8 N/m² (A)</p> Signup and view all the answers

What is the elongation of the structural steel rod under the applied force?

<p>1.59 mm (D)</p> Signup and view all the answers

What percentage strain does the structural steel rod experience?

<p>0.16% (C)</p> Signup and view all the answers

What is the total additional weight on the performer in the human pyramid?

<p>220 kg (C)</p> Signup and view all the answers

What is required to calculate the applied load on the copper and steel wires?

<p>The Young's modulus for both materials (A)</p> Signup and view all the answers

What is stress defined as?

<p>Force divided by area (B)</p> Signup and view all the answers

Which of the following types of strain refers to the relative change in length of a material?

<p>Longitudinal strain (D)</p> Signup and view all the answers

What does shearing strain quantify?

<p>The angle of displacement (C)</p> Signup and view all the answers

What happens to a solid sphere when it is subjected to hydraulic compression?

<p>It experiences compression uniformly on all sides (A)</p> Signup and view all the answers

What is the unit of stress?

<p>Pascal (Pa) (A)</p> Signup and view all the answers

What does the equation $ rac{ ext{Δ}x}{L} = an heta$ represent?

<p>Shearing strain (D)</p> Signup and view all the answers

Which of the following is NOT considered a type of strain?

<p>Centrifugal strain (C)</p> Signup and view all the answers

Who was appointed Curator of Experiments at the Royal Society in 1662?

<p>Robert Hooke (A)</p> Signup and view all the answers

What restores the original shape and size of a solid after deformation?

<p>Interatomic forces (B)</p> Signup and view all the answers

Who discovered the relationship between elongation and applied force in solids?

<p>Robert Hooke (C)</p> Signup and view all the answers

What type of stress occurs when equal and opposite forces are applied normal to the cross-sectional area of a cylinder?

<p>Both A and C (B)</p> Signup and view all the answers

How is longitudinal strain defined mathematically?

<p>Strain = $ rac{ riangle L}{L}$ (A)</p> Signup and view all the answers

What is shearing stress defined as?

<p>The restoring force per unit area for tangential forces (A)</p> Signup and view all the answers

What mathematical formula represents stress?

<p>Stress = $ rac{F}{A}$ (B)</p> Signup and view all the answers

What occurs due to shearing stress?

<p>Relative displacement of opposite faces (A)</p> Signup and view all the answers

What does the reference wire do in the experiment to determine Young's Modulus?

<p>Compensates for temperature changes (D)</p> Signup and view all the answers

Which component directly measures the elongation of the experimental wire?

<p>Pointer attached to the vernier scale (D)</p> Signup and view all the answers

In the Young's modulus formula, what does $ rac{MgL}{ au}$ represent?

<p>The ratio of stress to strain (D)</p> Signup and view all the answers

What must remain consistent between the reference wire and the experimental wire for accurate results?

<p>Length and radius of the wires (C)</p> Signup and view all the answers

Which variable is NOT involved in the Young's modulus calculation?

<p>Temperature of the experimental setup (C)</p> Signup and view all the answers

What is the bulk modulus of water?

<p>2.2 x 10^9 N m-2 (B)</p> Signup and view all the answers

Which material has the highest bulk modulus listed in the table?

<p>Nickel (B)</p> Signup and view all the answers

What type of modulus is associated with the change in volume but not in shape?

<p>Bulk modulus (B)</p> Signup and view all the answers

Calculate the pressure exerted by a 3000 m column of water at the bottom of the ocean.

<p>3.0 x 10^7 N m-2 (B)</p> Signup and view all the answers

Which strain type is NOT associated with a change in volume?

<p>Hydraulic strain (D)</p> Signup and view all the answers

What is the shear modulus also known as?

<p>Modulus of rigidity (D)</p> Signup and view all the answers

What is the SI unit of shear modulus?

<p>N m−2 or Pa (D)</p> Signup and view all the answers

Which equation represents the relationship between shearing stress and shearing strain?

<p>G = (shearing stress)/(shearing strain) (B)</p> Signup and view all the answers

For most materials, how is the shear modulus related to Young's modulus?

<p>G is less than Y (D)</p> Signup and view all the answers

What does the bulk modulus measure?

<p>The change in volume caused by hydraulic stress (A)</p> Signup and view all the answers

Which material has the highest shear modulus according to the provided data?

<p>Tungsten (C)</p> Signup and view all the answers

What does a negative sign in the bulk modulus equation indicate?

<p>Decrease in volume with increased pressure (D)</p> Signup and view all the answers

What is the shearing stress formula based on shear modulus?

<p>σ = G × γ (A)</p> Signup and view all the answers

What is the primary benefit of using an I-beam in construction?

<p>It optimizes strength and stability. (B)</p> Signup and view all the answers

How does the thickness of a rope impact its ability to lift heavy loads?

<p>Thicker ropes can withstand greater tension. (B)</p> Signup and view all the answers

In the deflection equation for beams, what does 'E' represent?

<p>The Young's modulus. (A)</p> Signup and view all the answers

Which cross-sectional shape is commonly used for load-bearing beams?

<p>I-beam (C)</p> Signup and view all the answers

What condition leads to tensile stress in materials?

<p>Pulling forces (D)</p> Signup and view all the answers

Which factor is more effective in reducing bending in a beam under a given load?

<p>Increasing the depth of the beam (B)</p> Signup and view all the answers

What type of stress arises when forces tend to slide surfaces relative to each other?

<p>Shear stress (B)</p> Signup and view all the answers

Which elastic constant would be used to describe a material's response to volumetric changes?

<p>Bulk modulus (D)</p> Signup and view all the answers

Flashcards

Elasticity

The ability of a material to return to its original shape and size after an applied force is removed.

Plasticity

The ability of a material to deform permanently under an applied force. It does not return to its original shape after the force is removed.

Deformation

The change in shape or size of a material due to an applied force. It can be either temporary (elastic) or permanent (plastic).

Rigid body

A solid object that has a definite shape and size. It is assumed to be perfectly rigid, but in reality, all solids deform to some extent under force.

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Stiffness

The property of a material that defines its resistance to deformation. It determines how much a material will deform under a given force.

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Stress

The restoring force per unit area of a deformed solid. It arises from the interatomic forces trying to bring the deformed object back to its original state.

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Strain

The relative change in size or shape of a solid when subjected to an external force. It is a measure of deformation.

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Longitudinal Stress

Stress acting perpendicular to the surface of a solid, arising from either pulling (tensile) or pushing (compressive) forces.

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Longitudinal Strain

The relative change in length of a solid when subjected to longitudinal stress.

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Shearing Stress

Stress acting parallel to the surface of a solid, arising from forces that cause a 'sliding' motion between layers of the object.

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Shearing Strain

The relative displacement of adjacent layers of a deformable solid due to shearing stress.

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Elastic Behavior

The property of a solid object to return to its original shape and size after the deforming force is removed. This behavior is related to the interatomic forces.

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Spring-Ball Model

A simplified model that represents the interatomic forces in a solid as springs connecting atoms, used to explain elastic behavior.

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What is stress?

Internal force per unit area acting within a deformed body.

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What is strain?

The relative change in length or shape of a material due to applied force.

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What is longitudinal strain?

Change in length of a material when subjected to a force pulling it apart.

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What is shearing strain?

Relative displacement of opposite faces of a material due to a force pushing it sideways.

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What is tensile stress?

The force exerted on a solid object per unit area, acting perpendicular to its surface.

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What is shearing stress?

The force exerted on a solid object per unit area acting parallel to its surface, causing a change in its shape.

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What is hydraulic compression?

Uniform compression applied to a solid object from all sides, often by fluid pressure.

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What is the shearing strain equation?

The relative displacement of opposite faces of a material due to a force pushing it sideways, calculated as the tangent of the angle of displacement divided by the length of the object.

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Elastic Limit

The point at which a material starts to deform permanently, even after the force is removed.

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Young's Modulus

The ratio of stress to strain in a material under tensile or compressive force.

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Tensile Strength

The maximum stress a material can withstand before breaking.

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Yield Strength

The maximum force per unit area that a material can withstand before yielding (permanent deformation).

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What is Hydraulic Stress?

The force applied per unit area of a material.

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What is Volume Strain?

The ratio of the change in volume of a material to its original volume.

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What is Hooke's Law?

A relationship between stress and strain where they are directly proportional for small deformations.

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What is the Yield Point?

The point on the stress-strain curve where a material starts to deform permanently.

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What is Ultimate Tensile Strength?

The maximum stress a material can withstand before it breaks.

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What is the Elastic Region?

The region on the stress-strain curve where the material behaves like an elastic body and returns to its original shape after the force is removed.

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What is the Plastic Region?

The region on the stress-strain curve beyond the yield point where the material deforms permanently.

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What is Strength?

The ability of a material to withstand stress without breaking, also called toughness.

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Elongation

The change in length of a material under stress.

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Reference Wire

A wire that is used as a reference point in an experiment involving Young's Modulus. It helps compensate for changes in temperature.

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Experimental Wire

A wire used to measure Young's Modulus in an experiment. It is subjected to a tensile force.

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Young's Modulus Experiment

A setup used to determine Young's Modulus of a wire. It involves two wires, one as a reference and one for the experiment.

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Bulk Modulus (B)

A measure of how much a material's volume changes under pressure. It's the ratio of stress to strain in a hydraulic compression.

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Fractional Compression (ΔV/V)

The fractional change in volume of a material when subjected to hydrostatic pressure. It represents how much a material compresses under pressure.

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Shear Modulus

The ratio of shearing stress to shearing strain, representing the material's resistance to twisting or shearing forces.

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Bulk Modulus

A material's resistance to changes in volume when subjected to uniform pressure from all sides. It's a measure of how incompressible the material is.

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Volume Strain

The decrease in volume of a material divided by its original volume under hydraulic pressure. It's a measure of how much the volume shrinks relative to its original size.

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Hydraulic Stress

The force per unit area acting on the surface of a material when subjected to a uniform pressure from all sides. It's a measure of the pressure exerted on the material.

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