Rank these graphs on the basis of the angular acceleration of the object. Rank positive angular accelerations as larger than neg
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Complete Question:
Given at a point. What is the force per unit area at this point acting normal to the surface with
? Are there any shear stresses acting on this surface?
Answer:
Force per unit area,
There are shear stresses acting on the surface since
Explanation:
equation of the normal,
Traction vector on n,
To get the Force per unit area acting normal to the surface, find the dot product of the traction vector and the normal.
If the shear stress, , is calculated and it is not equal to zero, this means there are shear stresses.
Since , there are shear stresses acting on the surface.
The characteristics of the scalar product allows to find the angle between the two vectors is:
- The angle θ = 170º
The scalar product is the product between two vectors whose result is a scalar.
A . B = |A| |B| cos θ
Where A and B are the vectors, |A| and |B| are the modules of the vectors and θ at the angle between them.
The vector is given in Cartesian coordinates and the unit vectors in these coordinates are perpendicular.
i.i = j.j = 1
i.j = 0
A . B = (4 i - 4j). * -5 i + 7j)
A . B = - 4 5 - 4 7
A. B = -48
We look for the modulus of each vector.
|A| =
|A| =
|A| = 4 √2
|B| =
|B| = 8.60
We substitute.
-48 = 4√2 8.60 cos θ
-48 = 48.66 cos θ
θ = cos⁻¹
θ = 170º
In conclusion using the dot product we can find the angle between the two vectors is:
- the angle θ = 170º
Learn more about the scalar product here: brainly.com/question/1550649