The three cables are used to support the 40-kg flowerpot. Determine the force developed in each cable for equilibrium.

The image of the 3 cables used to support the flower pot is not given so i have attached it.

F_ab = 523.2 N

F_ac = 392.4 N

F_ad ≈ 762.7 N

Explanation:

First of all, let's Calculate the sum of forces around the z-axis.

But before then, we need to resolve the distances along the 3 axis to get;

1.5/√(1.5² + 2² + 1.5²) = 0.5145

Thus;

ΣF_z = 0;

(F_ad × 0.5145) - (40 × 9.81) = 0

Where;

(40 × 9.81) is the weight of the flower pot.

F_ad is the force in cable AD

Thus;

0.5145F_ad - 392.4 = 0

F_ad = 392.4/0.5145

F_ad ≈ 762.7 N

Now, let's do the same for the x-axis;

ΣF_z = 0;

Since x = 1.5, just like z was the same 1.5, we will adopt same resolved distance.

F_ac - F_ad(0.5145) = 0

Where F_ac is force in cable AC

F_ac = 762.7 × 0.5145

F_ac = 392.4 N

Lastly, for the y-axis;

ΣF_y = 0;

y is 2 and so, we need to recalculate the resolved distance.

F_ab - F_ad(2/√(1.5² + 2² + 1.5²)) = 0

Where F_ab is the force in cable AB

F_ab = 762.7 × 0.686

F_ab = 523.2 N

scattering of light by tiny particles in air to produce the colors we see on sky, is dependent on the following factors:

(i) wavelength of light

(ii) size of the scattering particle  

(iii) distance traveled by light through the atmosphere.

according to rayleigh's law of scattering, the amount of scattering is inversely proportional to the fourth power of its wavelength. shorter the wavelength, greater is its scattering. hence violet/blue light is scattered more than red.

sun's light is a composite light ( visible light) with wavelengths in the range 400 nm (violet) to 700 nm (red). as sunlight passes through our atmosphere, the molecules of air scatter light according to their wavelengths. during sunrise and sunset, the sun's position is below the horizon. hence light from the sun travels a greater distance in the atmosphere when compared to its position a noon.

as sunlight enters the earth's atmosphere, blue light is scattered away and at the end of its journey in the sky, only red and orange wavelengths remain in the beam.

hence at sunrise and sunset, the sky appears reddish orange.

i think the answer is tomato juice? not entirely sure though