4–15. The post is made of Douglas fir and has a diameter of 100 mm. If it is subjected to the load of 20 kN and the soil provides a frictional resistance that is distributed along its length and varies linearly from w = 4 kN>m at y = 0 to w = 12 kN>m at y = 2 m, determine the force F at its bottom needed for equilibrium. Also, what is the displacement of the top of the post A with respect to its bottom B? Neglect the weight of the post.

Answers

Answer 1

The image of the Douglas fir post is missing, so i have attached it.

Answer:

-0.00025918 mm

Explanation:

We are given the points it passes through as;

(y1, w1) = (0, 4)

(y2, w2) = (2, 12)

Thus, the slope is;

K = (w2 - w1)/(y2 - y1)

K = (12 - 4)/(2 - 0)

K = 8/2

K = 4

Now, substituting one of the points into the slope equation, we have;

w - w1 = k(y - y1)

w - 4 = 4(y - 0)

w = 4y + 4

For us to now find the total force the distributed load applies to the body, we will integrate to give;

W(y) = ∫w•dy

Thus;

W(y) = ∫(4y + 4)dy

W(y) = 2y² + 4y

So, the value of this force which is at y = 2 m will be;

W(2) = 2(2²) + 4(2)

W(2) = 16 KN

Now, at equilibrium, we sum up the forces in the vertical y-direction to give;

W - 20 + F = 0

F = 20 - W

F = 20 - 16

F = 4 KN

If we cut through the body to get a free body diagram and sum forces in y-direction to zero, the displacement of the top of the post A with respect to its bottom B is;

δ_B/A = [(L, 0∫)(W - 20)dy]/AE

Where A is πr²

We are given diameter = 100 mm

So, radius = 100/2 = 50 mm = 0.05 m

Also, from tables the Young's modulus of Douglas fir is 13.1 GPa or 13.1 × 10^(9) Pa

Thus;

δ_B/A = [(2, 0∫)(2y² + 4y - 20)dy]/(π × 0.05² × 13.1 × 10^(9))

δ_B/A = [((2 × 2³/3) + (2 × 2²) - 20(2)) - 0] /(0.102887 × 10^(9))

δ_B/A = (16/3 + 8 - 40)/(0.102887 × 10^(9))

δ_B/A = -0.00000025918 m = -0.00025918 mm

415. The Post Is Made Of Douglas Fir And Has A Diameter Of 100 Mm. If It Is Subjected To The Load Of

Related Questions

Which is NOT a fossil fuel?
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B)Oil
C)Wood
D)Natural gas

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Wood is not a fossils fuel

Answer:

wood because, Coal, oil and natural gas are examples of natural gas. Biogas is the mixture of gases produced by the breakdown of organic matter in the absence of oxygen, usually consisting of certain quantities of methane and other constituents. therefore wood is not a fossil fuel

there are 11 steps one should follow when shooting
true or false
(Archery)​

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Answer:

true

Explanation:

1. Stance

2. Nock

3. Set Draw Hand

4. Set Bow Hand

5. Pre-Draw

6. Draw

7. Anchor

8. Aim

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10. Release

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In a healthy body, the heart pumps blood efficiently. When the heart has a problem, heart failure can occur. Heart failure can happen on one side of the heart or on both sides. What would happen if a person had right-sided heart failure?
The heart would fail to receive oxygenated blood from the lungs.
The heart would fail to efficiently pump oxygenated blood to the body.
The heart would fail to efficiently pump blood to the lungs.
The heart wouldn’t be able to pump blood to or receive blood from the lungs or the body.

Answers

Answer:

the heart would fail to efficiently pump oxygenated blood to the body and lungs

Answer:

the heart is hard to pump

PLEASE ANSWER AS FAST AS POSSIBLE! what property is the same for all electromagnetic waves?
A. the length of each wave
B. the amount of energy each wave transmits
C. the speed of each wave
D. the number of waves that occur each second

Answers

Answer:

i believe the answer is C. the speed of each wave

Answer:

the speed of each wave

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a p e x :))

A mountain climber has a mass (with all of their equipment) of 95, point, 0, k, g,95.0kg. If they were perfectly efficient, and ate 500, g,500g of chocolate (providing 11, point, 1, M, J,11.1MJ of chemical energy), how high could they climb?

Answers

Answer:

11900 meters

Explanation:

Use the Potential energy = mgh formula, substituting these in to get 11.1x10^6 = 95 x 9.81 x h.

Rearrange to make h the subject and the answer given is 11900 (3sig.fig.)

The maximum height to which he can climb will be 1.168 x 10⁴ meters.

What is potential energy?

The potential energy of a body is the energy of the body due it position. The potential energy always exist for two bodies which are in mutual interaction with each other for example by a force. For body a on earth, the potential energy of the body - earth system is -

E[P] = mgh

Given is a mountain climber that has a mass of 95 kg.

We can write -

Mass of climber = [M] = 95 kg

Energy gained by eating the chocolate = [E] = 11.1 MJ = 1.11 x 10⁷ joules

Assume that the height achieved achieve by the climber is [h] meters

Therefore, the potential energy gained at that height will be equal to 11 MJ

Therefore -

mgh = 1.11 x 10⁷

95 x 10 x h = 1.11 x 10⁷

95 x 10 x h = 1110 x 10⁴

h = (1110 x 10⁴)/950

h = 1.168 x 10⁴ meters

Therefore, the maximum height to which he can climb will be 1.168 x 10⁴ meters.

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Action and reaction forces are described by which of Newton's laws of motion?
first
second
third
fourth

Answers

Answer:

Newtons Third Law

Explanation:

Please give me brainliest much appreciated

Answer:

3rd

Explanation:

Is it possible for only one type of force to be present in a setup? How?

Answers

Yes, unless its not a main source.

Vocabulary
Define each term below and use it in a sentence. Then choose two additional terms from the movie.

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We don’t have the terms

What are nebulas, and how are they affected by gravity?.

Answers

gravity could slowly begin to pull together a bit of clumps of gas and dust but as the clumps get more big the gravity for them gets more and more stronger

Need help with the second one!

This question is based on the movie “Interstellar”

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Nah we don't need a new planet

Explanation:

will can still manage our planet

A turtle moves at a speed of 1.0 km/h. How fast is the turtle
moving in meters per second (m/s)?

Answers

Answer:

0.28 m/s

Explanation:

1.0km/h * (1000m / 1km) * (1h / 3600s) =

The speed of the turtle in meters per second is 0.28.

What is unit conversion?

Multiplication or division by a numerical factor, selection of the correct number of significant figures, and unit conversion are all steps in a multi-step procedure.

Speed is defined as the ratio of the time distance traveled by the body to the time taken by the body to cover the distance. The speed is a scalar quantity and does not require any direction to represent it.

Given that the speed of the turtle is 1.0 km/h. The speed in meters per hour will be calculated as below:-

To calculate the speed in meters per second multiply the number by 1000 and divide it by 3600.

1.0 km/h. = 1 x 1000 / ( 3600 )

1.0 km/h. = 1000 / ( 3600 )

1.0 km/h. = 0.28 meter second.

Therefore, the speed of the turtle in meters per second is 0.28.

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a;most done i know im asking a lot of qeastions

Answers

Answer:

I cannot see the choices for no. 10, so I'll answer no. 8 and no. 9.

8. a. keep the Earth from tilting on its axis

9. c. an Earth-centered to a sun-centered model

Explanation:

8. The tilting of the Earth on its axis (23.5 degrees) is greatly related to the weather/seasons in different countries. It also affects the amount of daylight that a specific area receives. Keeping the Earth from tilting on its axis would allow your area to receive the same length of sunlight because not tilting at all leads to fewer number of variations.

9. The Earth was thought to be the center of the universe in accordance to the Ptolemaic system. However, this changed through "Heliocentrism," which states that the "sun" is the center of the solar system.

is the difference the point of origin and the point of destination?

Answers

Answer:

point of origin is the starting point while point of destination is the ending point

Which tools would Sara use to find an irregularly shaped object’s mass and volume?

a meter stick, a ruler, and water
a meter stick, a balance, and water
a balance, water, and a ruler
a balance, water, and a beaker

Answers

Answer:

D. a balance, water, and a beaker

Hope this helps!

Answer:

Explanation:

D. a balance, water, and a beaker

Please help me

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Answers

Answer:

Waves come in two kinds, longitudinal and transverse

Explanation:

hope it helps hehe

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Answer:

Small asteroids

Explanation:

Mars has 2 moons, Phobos and Deimos, that each have characteristics similar to small asteroids.

How are Neptune and Uranus allke?

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Answer:

The methane gives Neptune the same blue color as Uranus.

Explanation:

Answer:

Uranus and Neptune are the two most distant planets in our solar system

Both are different from the larger gas giants Jupiter and Saturn, and from smaller rocky worlds like Earth

Uranus and Neptune have similar masses and internal compositions

Explanation:

what is the difference between sky and space?​

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Answer:

The sky is the region in which sunlight is scattered in the Earth's atmosphere,

while space is everything beyond that.

what are the two properties of a vector?

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Answer:

magnitude and direction

why does a balloon bursts if too much of air is blown into it​

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Answer:

it is due to the elastic rubber and the air pressure builds up and the rubber expands

Which element is a noble gas?

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Answer:

Elements that are noble gases are helium, argon, xenon, krypton, neon and radon.

subtract 14/3 from 5
[tex]subtact14 \3 from5[/tex]

Answers

The answer is 1/3
Steps:

Want in own words please

What determines whether something is solid or liquid or gas

Answers

Answer:

An object could be determined as solid:

-It doesn't change shape easily.

-when lots of heat applied till melting point, it would melt or thaw (basically turn into liquid).

-turn to pieces or bent when enough force applied to it.

-the molecules attached with each other by strong forces, creating strong bonds.

An object could be determined as liquid:

-It changes shaped based on the container.

-when lots of heat applied till boiling point, it would vaporize

-the molecules have weak bonds, creating a lot of spaces.

-when heat extracted from the liquid till freezing point, it would freeze/hardened (turn into solid)

An object could be determined as gas:

-it doesn't have any shape or form.

-if fills in the container.

-if lots of heat applied, its molecules are going to move, vibrate,and transist faster; increasing pressure and volume.

-The molecules have very weak bonds, creating spacious space.

-when the heat are being extracted till certain freezing point, it is going to turn into liquid, then solid.

The magnetic field 0.02 m from a wire is 0.1 t. what is the magnitude of the magnetic field 0.01 m from the same wire? 0.01 t 0.05 t 0.1 t 0.2 t

Answers

The magnitude of the magnetic field is 0.01 m from the same wire will be 0.2 T.It is the type of domain where the magnetic force is received.

What is a magnetic field?

It is the type of field where the magnetic force is obtained. With the help of a magnetic field. The magnetic force is obtained it is the field felt around a moving electric charge.

The given data in the problem is;

r is the radius= 0.02 m

I is the current = 10,000A

x is the position considered = 0.002 m

The value of the electric current is found as;

[tex]\rm B= \frac{\mu_0 Ix }{2 \pi r} \\\\ \rm I= \frac{B \times 2\pi r}{\mu_0} \\\\ \rm I= \frac{0.1 \times 2\times 3.14 \times 0.02}{4 \pi \times 10^{-7}} \\\\ \rm I= 10,000 \ A[/tex]

The megnetic field through the wire will be;

[tex]\rm B= \frac{\mu_0 I}{2 \pi r} \\\\\rm B= \frac{4 \pi \times 10^{-7} \times 10,000}{2 \times 3.14 \times 0.01} \\\\ \rm B= 0.2 \ T[/tex]

Hence the value of the megnetic field will be 0.2 T.

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Answer:

D

Explanation:

Point B on a wheel of radius 40 cm that is rotating at a constant 5.0 revolutions
per second is located 0.20 m from the axis of rotation. Pont A is just at the border
of the wheel. See the figure.

a) What is the angular velocity of the wheel in rad/s?

b) What point has a greater linear speed, A or B? Calculate both speeds and
compare the results.

c) What are the centripetal accelerations of points A and B due to the spin of the
wheel? Sketch the situation and represent the vectors linear velocity and
centripetal acceleration in points A and B. Assume the rotation of the wheel
to be clockwise.

Answers

(a) The angular velocity of the wheel is 31.42 rad/s.

(b) The linear speed of the wheel at point A is greater than point B.

(c) The centripetal accelerations of points A is 394.89 m/s² and point B is 197.44 m/s².

Angular velocity of the wheel

The angular velocity of the wheel is calculated as follows;

ω = 2π (5) = 31.42 rad/s

Linear speed of the wheel at point A

v = ωr

v = 31.42 x 0.4

v = 12.57 m/s

Linear speed of the wheel at point B

v = ωr

v = 31.42 x 0.2

v = 6.28 m/s

Thus, the linear speed of the wheel at point A is greater than point B.

Centripetal acceleration at point A

a = ω²r

a = (31.42)² x 0.4

a = 394.89 m/s²

Centripetal acceleration at point B

a = ω²r

a = (31.42)² x 0.2

a = 197.44 m/s²

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which of the following statements is/ are true?

Answers

Answer:

2

Explanation:

because if both of them collided they have the same momentum

How are gravity and air resistance the same?

Answers

Answer:

because baconeggandcheese

Explanation:

peepa pug

During photosynthesis, plants transform the energy in sunlight into chemical
energy by converting molecules of carbon dioxide and water into sugar and
oxygen molecules. A scientist wants to share what she has learned about this
process. What are two reasons the scientist might use models to help
represent her findings?
A. The process is very complex.
B. Scientists need to replicate her experiments.
C. The molecules are too small to show the actual molecules in her
report.
D. Photosynthesis cannot be carried out in a laboratory

Answers

B and D

Explanation:

The scientists need to replicate her experiment and to do that you need actual sunlight,it can't be carried out in a laboratory

Hope this helped

Vector A has a magnitude of 27 m and
points in a direction 32° above the positive x axis. Vec-
tor B has a magnitude of 35 m and points in a direction
55° below the positive x axis. Sketch the vectors A, B,
and C = A + B. Estimate the magnitude and the
direction angle of from
your
sketch.

Answers

Answer:

The magnitude of the resultant is 55.0 m

The angle of resultant is 18.4°  below the x axis

Explanation:

Given that,

Magnitude of vector A = 27 m

Angle = 32° above the x axis

Magnitude of vector B = 35 m

Angle = 35° blow the x axis

We need to calculate the angle between the vectors

Using given angle

[tex]\theta=32-(-55)[/tex]

ptex]\theta=87^{\circ}[/tex]

We need to calculate the sum of vector A and B

Using formula of sum of vector

[tex]C=\sqrt{A^2+B^2+2AB\cos\theta}[/tex]

Put the value into the formula

[tex]C=\sqrt{27^2+35^2+2\times27\times35\cos87}[/tex]

[tex]C=55.0\ m[/tex]

We need to calculate the direction angle

Using formula of angle

[tex]\tan\theta=\dfrac{B\sin\theta}{A+B\cos\theta}[/tex]

Put the value into the formula

[tex]\tan\theta=\dfrac{35\sin87}{27+35\cos87}[/tex]

[tex]\tan\theta=1.21[/tex]

[tex]\theta=\tan^{-1}(1.21)[/tex]

[tex]\theta=50.4[/tex]

We need to calculate the angle of the resultant vector makes with vector A

Using formula of angle

[tex]\phi=32-50.4[/tex]

[tex]\phi=-18.4^{\circ}[/tex]

Negative sign shows that the direction of resultant is below the x axis

Hence, The magnitude of the resultant is 55.0 m

The angle of resultant is 18.4°  below the x axis

The magnitude of the sum of the vectors, C, can be obtained using the

parallelogram method.

The magnitude of the resultant vector, C, is approximately 45.3 meters.The direction of the resultant vector, C, is approximately 18.6° below the horizontal.

Reasons:

The given parameters are;

Magnitude of vector A = 27 m

The direction of vector A = 32° above the horizontal

Magnitude of vector B = 35 m

The direction of vector B = 55° above the horizontal

By drawing, using the parallelogram resolution of vectors on MS Word, and

taking extension of the resultant in the x and y-direction, we have;

C = A + B = 42.92·i - 14.48·j

The magnitude of the resultant vector is therefore;

|C| = √((42.92 m)² + (14.48 m)²) ≈ 45.3 m

The direction is given as follows;

[tex]\theta = arctan \left(-\dfrac{14.48}{42.92} \right) \approx -18.6^{\circ}[/tex]

Verifying, we get;

Vector A = 27×cos(32°)·i + 27×sin(32°)·j 22.9·i + 14.31·j

Vector B = 35×cos(-55°)·i + 35×sin(-55°)·j 20·08·i - 28.67·j

C = A + B = ( 22.9·i + 14.31·j) + (20·08·i - 28.67·j) = 42.98·i - 14.36·j

Therefore, the vector obtained by sketch is correct approximately.

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Physics. 40 points.


Help please :) (View attached image)

Answers

Answer:

1) 10 m/s  2) 14.1 m/s  3) 6.7 m  4) 11.25 m  5) 4.5 m/s  6) 12 joules

Explanation:

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