stress seems to be scalar same as that of pressure but when force is involved in a specified direction in stress it is a vector;hence it is neither a vector or scalar so. Force in vector form, F = 1 4 0 q q 0 r . Normal force acts on book in upward direction and force due to gravity on book acts in the downward direction.

The term "tensor" refers to any quantity that trans-forms in a physically meaningful way from one Cartesian coordinate system to another. B. Scalar.

A force vector can also be called a force tensor.

The answer is that the tension is .

What is a Tensor A tensor is a multi-dimensional array of numerical values that can be used to describe the physical state or properties of a material. Tensor, i.e. The traction vector on a surface is obtained from the stress tensor by applying the Cauchy Stress Relationship: if $\mathbf{n}$ represents a unit normal vector to the . Does this mean that in a static case, the force calculated using the tensor is the same as the force calculated using Columbs law? Open in App. Answer (1 of 11): Looking at your question"simple words", I would love to answer your question what I have learned about TENSOR. Let Force having some magnitude acting on a any body, it's direction will tell the stress is compressive or tensile. If so, what rank tensor is it, and what are the ranks of the tensor m and the normal force FN?

Correct option is A) As force has both magnitude as well as direction and obeys vector law of addition. Expert Solution. Tell a friend about us, add a link to this page, or visit the webmaster's page for free fun content .

A quantity mathematically represented by a tensor or possessing properties analogous to a tensor. 11: Force is a vector quantity. Projection of vector u= ai+ bj+ ck along i is. Textbook Solutions 25661.

Pressure is a scalar because it does not behave as a vector -- specifically, you can't take the "components" of pressure and take their Pythagorean sum to obtain its magnitude. In the most general case it's a 2-dimensional symmetric tensor, defined by 9 numbers at any point.

If we consider the weight, it is the force experienced by the object due to its mass.

. A scalar is a physical quantity that it represented by a dimensional num-ber at a particular point in space and time.

We will now see that the internal forces in the material of a three-dimensional body can be described in terms of a tensor.

These quantities are tensors (By the way, scalar is a tensor of zero rank). Want to see the full answer? CISCE ICSE Class 10. The mass has only magnitude, not direction.

The mass of a body is a scalar quantity. The moment tensors are unique and describe the body force equivalents of rupture processes in any medium including faulting at a material interface, d . star_border.

The moment tensor cannot be viewed as an abundant or ambiguous .

A scalar can be designated a tensor of rank zero. The stress is not a scalar nor a vector quantity as it is considered as tensor quantity.

It is a tensor quantity. Eg.

We generally use tensor word for the tensor of rank more than or equal to two.

Answer: Scalar is described by one number.

The SI unit of the force is the newton (N) or Kg.m/s. Advertisement Remove all ads.

magnitude, direction and plane.

A scalar quantity is simply a number -- it has only magnitude.

Applied the boundary conditions and applied the force .

Now if somebody asks if acceleration is a vector or a scalar, we can easily tell that it's a vector because it . Examples are position, force and velocity. A vector is a bookkeeping tool to keep track of two pieces of information (typically magnitude and direction) for a physical quantity.

Mass is a _____ quantity.

If we assemble all such combinations $\sigma_ {ij}$, the collection of them is the stress tensor.

VECTOR :Any Physical quantities which ha. So, the direction is the same as force.

Instead, pressure is actually proportional to the sum of the components, ( P x + P y + P z) / 3.

Hence, electric intensity is a vector quantity.

The direction of F is along the line joining the points O and A, passing away from the charge q if q is positive and toward q, if q is negative. 31-5.

The stress tensor helps us determine the force per unit area (called either the traction vector or the stress vector) on a surface of arbitrary orientation at the given location.

. A force vector is a representation of a force that has both magnitude and direction.This is opposed to simply giving the magnitude of the force, which is called a scalar quantity. Important Solutions 3382. .

Why is stress a tensor quantity?

A scalar has magnitude with 0 direction, hence a rank 0 tensor. 12.

A differential form of degree n n is a skew-symmetric rank (0, n) (0 Chapters 2 and 3, dealing with moments, cumulants and invariants, form the core of the book and are required reading for all subsequent chapters First rotation about z axis, assume a rotation of 'a' in an anticlockwise direction, this can be represented by a vector in the positive z direction .

D. None. Mass is a fundamental property of a physical system. It is a nine (3^2) point tensor.Pressure is scalar quantity or a tensor of rank zero.Pressure itself is looked upon as a scalar quantity; the related tensor quantity often talked about is the stress tensor.

Consequently, what is tensors in physics? A tensor quantity is a physical quantity which has no specified direction but different values in different directions.

. You can have an $x$-directed force pushing along an interface of constant $y$; this would be $\sigma_ {xy}$.

The restoring force per unit area is called stress. It can be defined as: = F A.

It is given by the ratio of internal resisting force to the area of cross-section.

The dimensional formula of the stress is [MLT].

Stress, like pressure is defined as force per unit area.

Examples are hydrostatic pres-sure and temperature. Tensor: a quantity with magnitude and direction, and with reference to a plane it is acting across (e.g. These quantities are often expressed using matrices.

Force has a direction. Transcribed Image Text: Displacement of a body is a O vector O scalar and vector O scalar O tensor O None of the choices quantity. A dyadic has magnitude (s), acting in various planes, i.e. A man pulls a cement block with a force of 450N using a rope that makes an angle of 35.0 degrees . force, velocity, acceleration).

The rank of a tensor equals the number of subscripts that must be used to describe the tensor. Each of its components has a magnitude (a scalar) and two directions associated with it. It is a nine (3^2) point tensor.

When forces pull on an object and cause elongation, like the stretching of an elastic band, we call it tensile stress. Want to thank TFD for its existence? The way to understand pressure is in terms of the stress tensor, and .

A scalar is a physical quantity that it represented by a dimensional num-ber at a particular point in space and time.

The second-order Cauchy stress tensor describes the stress forces experienced by a material at a given point.The product of the stress tensor and a unit vector , pointing in a given direction, is a vector describing the stress forces experienced by a material at the point described by the stress tensor, along a plane perpendicular to .This image shows the stress vectors along three .

This is because vector quantities do have direction and magnitude.

stress, strain, permeability).

Where I'm confused is when it comes to the mass.

Vector is a first rank tensor.

Instead, stresses are much more complex quantities than the vectors and are called tensors.

Stress has both magnitude and direction but it does not follow the vector law of addition thus, it is not a vector quantity.

Pressure itself is looked upon as a scalar quantity; the related tensor quantity often talked about is the stress tensor.

This is due to the fact that stress equals the magnitude of the internal reaction force divided by the cross-sectional area. . Stress is tensor quantity.

The problem is that most math texts give you a very dry desc Beck im Internet: www Multilinear algebra 27 2 For example, the derivative of ~y 3 with respect to W 2;3 is given by @~y 3 @W 2;3 = ~x 2; (9) as can be easily seen by examining Equation 8 In both of these examples, the functions involved were vector valued functions of vector variables In both of .

Easy.

A tensor quantity is a physical quantity which has no specified direction but different values in different directions.

The material to the left of the plane [math] exerts across the area [math] the force [math] on the material to the right of the plane. Is stress is a scalar quantity or vector? A force can be described using a single subscript, F i

A vector is a bookkeeping tool to keep track of two pieces of information (typically magnitude and direction) for a physical quantity.

MCQ Online Tests 6. It can't be scalar.

Stress is a tensor as it obeys the coordinate transformation law. Second rank tensor is a physical quantity, which is defined by nine numbers, which form square matrix. tensor of rank 1.

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t. e. In electromagnetism, the electromagnetic tensor or electromagnetic field tensor (sometimes called the field strength tensor, Faraday tensor or Maxwell bivector) is a mathematical object that describes the electromagnetic field in spacetime.

Tensor: a quantity with magnitude and direction, and with reference to a plane it is acting across (e.g.

A simple example of a geophysically relevant tensor is stress.

sr frs] (nuclear physics) A spin-dependent force between nucleons, having the same form as the interaction between magnetic dipoles; it is introduced to account for the observed values of the magnetic dipole moment and electric quadrupole moment of the deuteron.

Or, the scalar, vector are the special cases of tensor.

Mass is a scalar quantity. An elementary example of a mapping describable as a tensor is the dot product, which maps two vectors to a scalar.A more complex example is the Cauchy stress tensor T, which takes a directional unit vector v as input and maps it to the stress vector T (v), which is the force (per unit area) exerted by material on the negative side of the plane orthogonal to v against the material on the .

Is electromotive force a quantity?

Vector: a quantity with magnitude and direction (e.g. The sign of the components are dependant on whether there is tension or compression.

The moment tensor is a unique quantity describing the rupture process in any medium including faulting at a material interface. Pressure is scalar quantity or a tensor of rank zero. Projection of B on A is. Using equation (1) and (2) we can write, E = 1 4 0 q r 2. The stress tensor has 9 components. Stress is a tensor quantity developed from the idea of normal forces and shear forces acting within the rock.

A vector is typically represented by an arrow in the direction of the force and with a length proportional to the force's magnitude.

A vector is a magnitude acting along a line, or 1 dimension, i.e. Pressure itself is looked upon as a scalar quantity; the related tensor quantity often talked about is the stress tensor.

Vector Quantities - Force, Electric field, Angular Momentum, Magnetic Moment, Linear Momentum, Average Velocity.

2 dimensions, making it a 2nd rank tensor.

29 Points. Pushing your hand down on a table generates a normal force.

If we assemble all such combinations i j, the collection of them is the stress tensor.

force, velocity, acceleration).

It is commonly measured in units of volts, equivalent in the metre .

A. Vector.

11.

Stress is the resistance offered against an applied pressure at a point.

A tensor is a general quantity. heart outlined. Stress is defined as a tensor quantity as it has both magnitude and minimum two directions when acting at a point.

Pushing your hand along the surface of the table generates a shear force. 14.

It is abbreviated E in the international metric system but also, popularly, as emf. Search: Tensor Algebra Examples.

In its description are two indexes. Now we are familiar with what are vectors and scalars.

Instead, stress follows the coordinate transformation law of addition, and hence, stress is considered as a tensor quantity. C. Tensor.

Tensor is a quantity having magnitude, direction, and plane too.

Example: As shown in the below figure, the man is stretching the rubber by applying the force 'F'. Force is a vector quantity.

Correct option: (a) scalar. The quantity of stress is neither a scalar nor a vector quantity. Stress is a tensor 1 because it describes things happening in two directions simultaneously. Despite its name, electromotive force is not actually a force.

Here is the stress, F is the applied force and A is the area of application.

The tension in the rope is scalar quantity and refers to the magnitude of the force divided by the cross sectional area of the rope.

t. e. In electromagnetism, the electromagnetic tensor or electromagnetic field tensor (sometimes called the field strength tensor, Faraday tensor or Maxwell bivector) is a mathematical object that describes the electromagnetic field in spacetime. Question Papers 359. See Solution.

The coordinate transformation law of . You might be familiar with free body diagrams. Check out a sample Q&A here.

The field tensor was first used after the four-dimensional tensor formulation of special relativity .

Generally when one talks about tensors, though, one is referring to tensors of rank two or higher.

stress, strain, permeability).

Pressure is part of the stress tensor.

It's plane will tell the whether stress is shear or normal ( along the plane shear and perpendicular to plane is normal). Hence, weight has both magnitude and . Actually, the tensor notion is quite general, and applies to all of the above examples; scalars and vectors are special kinds of tensors. (Only 6 of the numbers are independent, because of the symmetry).

We generally use tensor word for the tensor of rank more than or equal to two. Force is a _____quantity. The units of force are the newton (N) or the pound force (lbf) with dimensions LMT 2. Eg. $\endgroup$ - Ptheguy. Stress is defined as the restoring force acting per unit area of a body. Electromotive force is a scalar quantity.It is not actually a force but energy per unit charge.

5. 3 Answers Sorted by: 35 Stress is a tensor 1 because it describes things happening in two directions simultaneously. The rankof a tensor equals the number of subscripts that must be used to describe the tensor.

Examples are position, force and velocity.

tensor quantity.

The whole truth is not so simple. It is a nine (3^2) point tensor.

Thus, force is a vector quantity.

A vector is said to be unit vector if magnitude of a vector is. The feature that distinguishes a scalar from a vector, and distinguishes both of those from a more general tensor quantity is the number of indices in the representing array.

It's a tensor quantity, so it's a tensor quantity. If the vectors 2ai+j-k and i+aj+4k are perpendicular to each other then the value of a is. It is considered as a tensor quantity. Stresses are not vectors because they do not combine according to the parallelogram law of addition.

Sep 12, 2018 at 3:47

SCALAR :Any Physical quantities which have only MAGNITUDE(we don't need to bother about it's direction).

10: The dimensional formula of the force is [MLT]. To this point we have referred to a force as a vector.

If a tensor has only magnitude and no direction (i.e., rank 0 tensor), then it is called scalar.If a tensor has magnitude and one direction (i.e., rank 1 tensor), then it is called vector.If a tensor has magnitude and two directions (i.e., rank 2 tensor), then it is called dyad.And so on .

13. The field tensor was first used after the four-dimensional tensor formulation of special relativity .

(a) scalar (b) vector (c) tensor (d) None of these.

It has the same dimensional formula as pressure.

Write chromyl chloride test with equation.

The term "tensor" refers to any quantity that trans- forms in a physically meaningful way from one Cartesian coordinate system to another. The angle between the vectors 2i+ 3j+k and 2i-j-k is.

Search for: i.

Solution. We generally use tensor word for the tensor of rank more than or equal to two.

Solve any question of Motion in a Plane with:-

Mass or temperature are scalars, for instance.

Search: Tensor Algebra Examples.

Stress is also a tensor. For example, the force or electric field are vectors.

You can have an x -directed force pushing along an interface of constant y; this would be x y. Like any other physical property, it can be expressed as a tensor when the density of the system depends on the direction and the point at . Chapter 1 Force Exercise 1 (A) | Q 3 | Page 9. Since force can cause a physical change whereby it is also a push or a pull, it has both features of .

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If yes, then this brings me to Q2: how is it that the integral over surface gives me a quantity that I can find from considering the direct interaction between charges.