# Why do we care about a material's ability to resist torsional deformation? (a) because the angle of

###### Question:

(a) because the angle of twist of a material is often used to predict its shear toughness

(b) because rotating shafts are used in engineering applications

(c) we don't care - simply an academic exercise.

(d) because it can determine g and inform us of a materials ability to resist shear deformation

## Answers

(A) Because the angle of twist of a material is often used to predict its shear toughness

Explanation:

In engineering, torsion is the solicitation that occurs when a moment is applied on the longitudinal axis of a construction element or mechanical prism, such as axes or, in general, elements where one dimension predominates over the other two, although it is possible to find it in diverse situations.

The torsion is characterized geometrically because any curve parallel to the axis of the piece is no longer contained in the plane initially formed by the two curves. Instead, a curve parallel to the axis is twisted around it.

The general study of torsion is complicated because under that type of solicitation the cross section of a piece in general is characterized by two phenomena:

1- Tangential tensions appear parallel to the cross section.

2- When the previous tensions are not properly distributed, which always happens unless the section has circular symmetry, sectional warps appear that make the deformed cross sections not flat.

[tex]C'T'=4\ units[/tex]

Step-by-step explanation:

we know that

A rotation does not modify the original length sides of the figure or its internal angles, a rotation only modify the orientation of the figure.

so

The distance CT before the rotation is the same of the distance C'T' after the rotation

CT=C'T'

we have

[tex]CT=4\ units[/tex]

therefore

[tex]C'T'=4\ units[/tex]

[tex]\phi_i = BA[/tex]

Explanation:

magnetic flux is the count of magnetic field lines passing through a given loop or area

As we know that magnetic flux is given by the formula

[tex]\phi = \vec B. \vec A[/tex]

here we also know that magnetic field B and plane of the coil is perpendicular in initial position

So the area vector is always perpendicular to the plane of the coil

so the angle between magnetic field and area vector is parallel to each other and this angle would be zero

so magnetic flux of the coil initially we have

[tex]\phi = BAcos0 = BA[/tex]

BA

0

[tex]\dfrac{NBA}{\Delta t}[/tex]

Explanation:

B = Magnetic field

A = Area

[tex]\theta[/tex] = Angle

t = Time taken

Before rotation the magnetic flux is given by

[tex]\phi_i=BAsin\theta\\\Rightarrow \phi_i=BAsin90\\\Rightarrow \phi_i=BA[/tex]

Magnetic flux is BA

After rotation the magnetic flux is given by

[tex]\phi_i=BAsin\theta\\\Rightarrow \phi_i=BAsin0\\\Rightarrow \phi_i=0[/tex]

The magnetic flux is 0

Magnitude of emf is given by

[tex]\epsilon=NA\dfrac{d\phi}{dt}\\\Rightarrow \epsilon=\dfrac{NBA}{\Delta t}[/tex]

The magnitude of the average emf induced in the entire coil is [tex]\dfrac{NBA}{\Delta t}[/tex]

Option B : [tex]\sqrt{17}[/tex] is the length of C'T'

Explanation:

The length of CT is [tex]\sqrt{17}[/tex]

Since, we know that the rotation of a triangle does not change the distance of the sides of the triangle.

Option A : [tex]\sqrt{10}[/tex]

From the figure, we can see that the length of TA = [tex]\sqrt{10}[/tex]

After rotation, it becomes the length of T'A'

Thus, the length of T'A' = [tex]\sqrt{10}[/tex]

Hence, Option A is not the correct answer.

Option B : [tex]\sqrt{17}[/tex]

From the figure, we can see that the length of CT is [tex]\sqrt{17}[/tex]

After rotation, it becomes the length of C'T'

Thus, the length of C'T' = [tex]\sqrt{17}[/tex]

Hence, Option B is the correct answer.

Option C : [tex]\sqrt{5}[/tex]

From the figure, we can see that the length of AC is [tex]\sqrt{5}[/tex]

After rotation, it becomes the length of A'C'

Thus, the length of A'C' = [tex]\sqrt{5}[/tex]

Hence, Option C is not the correct answer.

Option D : Cannot be determined.

From the figure, the length of C'T' can be determined.

Hence, Option D is not the correct answer.

square root of 17

Step-by-step explanation:

if the triangle rotates from CAT to C'A'T' its still going to have the same values bc its like a mirror image

The answer is = 4 units.

Step-by-step explanation:

We know that

A rotation does not modify the original length sides of the figure or its internal angles, a rotation only modify the orientation of the figure.

so

The distance CT before the rotation is the same of the distance C'T' after the rotation

CT=C'T'

we have

CT = 4 units.

Therefore,

C'T' = 4 units

Hi,

The best answer I think should be Leg Swings because soccer is a sport where you have to control the ball from the lower body, no hands, which can also include Forward Bends.

Some players in soccer also kick the ball from their headtop or their chest!

Hope it helps!

I think it is negative 1 I’m not sure tho

Leg swimming’s. Leg swings!.