Answer:
- Light is bounced back at same angle (Classical Reflection)
- Light penetrates medium at different angle due to different material densities (Refraction)
Light bounces at different angles in periodic grid (Reflected Diffraction)
Light enters medium at different angles through a grid (Transmission Diffraction)
- Light EMF field looses one axis component (Polarized filter)
Explanation:
Reflection is a phenomenon in which waves (light included) bounce back from an obstacle at the same angle of incidence
Refraction is the change in the angle of a wave as it enters the interface of two media. The change in angle is due to the difference in the densities of the two media.
Reflected diffraction occurs when an optical component with a periodic grid, splits, and diffracts light into several beams travelling in different directions. The light light bounces at an angle in the periodic grid.
Transmission diffraction is dispersion a beam of various wavelengths into a spectrum of associated lines due to the principle of diffraction. In this type of diffraction, light enters medium at different angles through a grid.
Polarized filters removes one field from the incidence electromagnetic wave like light, leaving it to vibrate in only one plane.
Answer:
force R = 846.11 N
lifting force L = 110.36 N
if cable fail complete both R and L will be zero
Explanation:
given data
mass woman mw = 60 kg
mass package mp = 9 kg
accelerates rate a = g/4
to find out
force R and lifting force L and if cable fail than what values would R and L acquire
solution
we calculate here first reaction R force
we know elevator which accelerates upward
so now by direction of motion , balance the force that is express as
R - ( mw + mp ) × g = ( mw + mp ) × a
here put all these value and a = g/4 and use g = 9.81 m/s²
R - ( 60 + 9 ) × 9.81 = ( 60 + 9 ) × g/4
R = ( 69 ) × 9.81/4 + ( 69 ) 9.81
R = 69 ( 9.81 + 2.4525 )
force R = 846.11 N
and
lifting force is express as here
lifting force = mp ( g + a)
put here value
lifting force = 9 ( 9.81 + 9.81/4)
lifting force L = 110.36 N
and
we know if cable completely fail than body move free fall and experience no force
so both R and L will be zero
Answer:
yes, it is
Explanation:
The sequence: (+4)
23,27,31,35,39,43,47,51,55,59,63,67,71,75,79,83
Hope this helps! :)
Complete Question
Consider a single crystal of some hypothetical metal that has the BCC crystal structure and is oriented such that a tensile stress is applied along a [121] direction. If slip occurs on a (101) plane and in a [111] direction, compute the stress at which the crystal yields if its critical resolved shear stress is 2.9 MPa.
Answer:
The stress is 
Explanation:
From the question we are told that
The critical yield resolved shear stress is 
First we obtain the angle
between the slip direction [121] and [111]
![\lambda = cos^{-1} [\frac{(u_1 u_2 + v_1 v_2 + w_1 w_2}{\sqrt{u_1^2 + v_1 ^2+ w_1^2})\sqrt{( u_2^2 + v_2^2 + w_2 ^2)} } ]](https://tex.z-dn.net/?f=%5Clambda%20%3D%20cos%5E%7B-1%7D%20%5B%5Cfrac%7B%28u_1%20u_2%20%2B%20v_1%20v_2%20%2B%20w_1%20w_2%7D%7B%5Csqrt%7Bu_1%5E2%20%2B%20v_1%20%5E2%2B%20w_1%5E2%7D%29%5Csqrt%7B%28%20u_2%5E2%20%2B%20v_2%5E2%20%2B%20w_2%20%5E2%29%7D%20%7D%20%20%5D)
Where
are the directional indices
![\lambda = cos ^-[ \frac{(1) (-1) + (2) (1) + (1) (1)}{\sqrt{((1)^2 +(2)^2 + (1)^2)}\sqrt{((-1)^2 + (1)^2 + (1)^2 ) } } ]](https://tex.z-dn.net/?f=%5Clambda%20%20%3D%20%20cos%20%5E-%5B%20%5Cfrac%7B%281%29%20%28-1%29%20%2B%20%282%29%20%281%29%20%2B%20%281%29%20%281%29%7D%7B%5Csqrt%7B%28%281%29%5E2%20%2B%282%29%5E2%20%2B%20%281%29%5E2%29%7D%5Csqrt%7B%28%28-1%29%5E2%20%2B%20%281%29%5E2%20%2B%20%281%29%5E2%20%29%20%7D%20%20%7D%20%5D)
![= cos^{-1} [\frac{2}{\sqrt{6} \sqrt{3} } ]](https://tex.z-dn.net/?f=%3D%20cos%5E%7B-1%7D%20%5B%5Cfrac%7B2%7D%7B%5Csqrt%7B6%7D%20%5Csqrt%7B3%7D%20%20%7D%20%5D)
Next is to obtain the angle
between the direction [121] and [101]
![\O = cos^{-1} [\frac{(u_1 u_3 + v_1 v_3 + w_1 w_3}{\sqrt{u_1^2 + v_1 ^2+ w_1^2})\sqrt{( u_3^2 + v_3^2 + w_3 ^2)} } ]](https://tex.z-dn.net/?f=%5CO%20%3D%20cos%5E%7B-1%7D%20%5B%5Cfrac%7B%28u_1%20u_3%20%2B%20v_1%20v_3%20%2B%20w_1%20w_3%7D%7B%5Csqrt%7Bu_1%5E2%20%2B%20v_1%20%5E2%2B%20w_1%5E2%7D%29%5Csqrt%7B%28%20u_3%5E2%20%2B%20v_3%5E2%20%2B%20w_3%20%5E2%29%7D%20%7D%20%20%5D)
Substituting 1 for
, 2 for
, 1 for
, 1 for
, 0 for
, and 1 for 
![\O = cos^{-1} [\frac{1* 1 + 2*0 + 1*1 }{\sqrt{1^2 + 2^2 + 1^2 } \sqrt{(1^2 + 0^2 + 1^2 )} } ]](https://tex.z-dn.net/?f=%5CO%20%3D%20cos%5E%7B-1%7D%20%5B%5Cfrac%7B1%2A%201%20%2B%202%2A0%20%2B%201%2A1%20%7D%7B%5Csqrt%7B1%5E2%20%2B%202%5E2%20%2B%201%5E2%20%7D%20%5Csqrt%7B%281%5E2%20%2B%200%5E2%20%2B%201%5E2%20%29%7D%20%20%7D%20%5D)
![\O = cos^{-1} [\frac{2}{\sqrt{6} \sqrt{2} } ]](https://tex.z-dn.net/?f=%5CO%20%3D%20cos%5E%7B-1%7D%20%5B%5Cfrac%7B2%7D%7B%5Csqrt%7B6%7D%20%5Csqrt%7B2%7D%20%20%7D%20%5D)

The stress is mathematically represented as




Answer:
V=1601gal
Explanation:
Hello! This problem is solved as follows,
First we must raise the equation that defines the pressure at the bottom of the tank with the purpose of finding the height that olive oil reaches.
This is given as the sum due to the atmospheric pressure (1atm = 101.325kPa), and the pressure due to the weight of the olive oil, taking into account the above, the following equation is inferred.
P=Poil+Patm
P=total pressure or absolute pressure=26psi=179213.28Pa
Patm= the atmospheric pressure =101325Pa
Poil=pressure due to the weight of olive oil=0.86αgh
α=density of water=1000kg/m^3
g=gravity=9.81m/s^2
h= height that olive oil reaches
solving
P=Poil+Patm
P=Patm+0.86αgh
[/tex]
Now we can use the equation that defines the volume of a cylinder.
V=
D=3ft=0.9144m
h=9.23m
solving

finally we use conversion factors to find the volume in gallons
