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irinina [24]
3 years ago
7

A round steel shaft is subjected to a concentrated moment M=1000 lbf.in at point B, which is located at distances a=8,b=9 in fro

m either end. Modulus E=30 Mpsi. The shaft is mounted on bearings that cannot tolerate a slope in excess of θ=0.002 rad. The bearings can be assumed to behave as simple supports. Calculate: ∙ The minimum diameter d required so that the slope at the supports does not exceed the limit.
Physics
1 answer:
viva [34]3 years ago
3 0

Answer:

dmin = 1.4374in

Explanation:

In the question, it says slope at the support should not exceed the limit. When such a sentence is given always use the <u>maximum value of the property</u>. So here the maximum moment of inertia is used.

θ₁ = Pb(l² – b²)/6lEI

0.002 = 1000 x 8 x (142 - 82)/6 x 14 x 30 x 10⁶ x I₁

I₁ = 0.209523 in⁴

θ₂ = Pab(2l - b)/6lEI

0.002 = 1000 x 6 x 8 x (28 - 8)/6 x 14 x 30 x 10⁶ I2

I₂ = 0.190476 in⁴

<u>For design point of considerations, taking higher value of M.I, which is I₁</u>

I₁ = 0.209523 = (π/64) x d⁴

d⁴ = 4.2683

dmin = 1.4374in

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The block in the figure below has a mass of 5.1 kg and it rests on an incline of angle . You pull on the rope with a force F = 3
viktelen [127]

42.9°

Explanation:

Let's assume that the x-axis is aligned with the incline and the positive direction is up the incline. We can then apply Newton's 2nd law as follows:

x:\;\;\;\;F - mg\sin{\theta} = 0\;\;\;\;

\Rightarrow mg\sin{\theta} = F

Note that the net force is zero because the block is moving with a constant speed when the angle of the incline is set at \theta. Solving for the angle, we get

\sin{\theta} = \dfrac{F}{mg}

or

\theta = \sin^{-1}\left(\dfrac{F}{mg}\right)

\;\;\;=  \sin^{-1}\left[\dfrac{34\:\text{N}}{(5.1\:\text{kg})(9.8\:\text{m/s}^2)}\right]

\;\;\;=42.9°

6 0
2 years ago
Compare the inner core and the outer core?
vfiekz [6]

To compare the inner core and the outer core, we need to outline the parameters based on

  1. Temperature - the outer core has 2000-5000 C, while inner reach 6000 C
  2. Structure and consistency - The outer core consist of iron and nickel, mix with low amount of gold, platinum, and uranium, while inner is the melting pot of all dense material and lot of uranium.
  3. Depth - The outer core has depth to 2900 km, while inner core has 1300 - 1400 km radius.

<h3>Further explanation</h3><h3>Consistency / materials</h3>
  • Both the outer core and the inner core are made generally of iron and nickel.  
<h3 /><h3>Temperature</h3>
  • The outer core achieves a temperature of 2000°c. The inward center has a temperature as high as 5000°c.
  • The inner core achieves a temperature of 6000 °c.
  • Within this temperature, both nickel and iron are dissolved and converted into a fluid.

<h3>Structure</h3>
  • In contrast to the outer core, the internal base is reduced in spite of the boiling temperature achieved the radioactive rot of uranium due to the incredible weight that keeps this layer in a stable stage.
  • The layer that partitions the external center and internal center is known as Bullen brokenness. Bullen brokenness is likewise the most sizzling locale of wherein the temperature reaches up to 6000°c its as hot as the outside of the sun.

<h3>Depth </h3>
  • Outside the outer and inner core, there is mantle that has the depth to around 2,900 kilometers from the Earth's surface.
  • The outer has depth more than 2900 kilometers from Earth surface.
  • The iner core is the deepest among all of them and has radius for 1300 kilometers.
  • Check the structure of earth here brainly.com/question/2162876

<h3>Structure of Earth</h3>

The Earth is separated into four layers. The external layer is the hull, beneath the covering is the mantle, and pursued by the external center, at that point, the most profound and the most smoking layer is known as the internal center.

<h3>Learn more</h3>

Here are the four layers of the Earth

  1. Hull
  2. Mantle
  3. External center
  4. Internal center

<h3>1. Hull or crust </h3>

The hull is the peripheral and the thinnest layer which goes about as the skin of the Earth that stretches out from the surface to around 32 kilometers beneath. This is the layer where we live, and volcanoes, quake, and mountain reaches are framed.

  • The marine shell is denser and more slender contrasted with mainland hull.
  • Mainland hull is thicker and is less thick contrasted with the maritime shell.

<h3>2. Mantle </h3>

Underneath the outside is the layer known as the mantle, which stretches out to around 2,900 kilometers from the Earth's surface. The coat is the thickest layer of the Earth and is progressively thick contrasted with the outside. It is the path more sizzling than the covering and equipped for liquefying it. The upper mantle is plastic, its made up of magma that as a result of an excessive amount of warmth it streams which causes changes on the outside of the Earth.

<h3>3. Outer Core </h3>

The external center is 2900 kilometers underneath the outside of the Earth. It is for the most part comprised of iron and nickel; however, in the fluid stage and its temperature ranges to about 2000°C. Regardless of whether the external center has a high weight, yet because of its a lot higher temperature, nickel and iron are liquefied. The external center is streaming outside the internal center, which produces an attractive field that shields the Earth from the hazardous, radioactive material originating from the warmth of the sun.

<h3>4. Internal Core </h3>

The internal center is the most profound layer comprised of heavy iron and nickel and has a sweep of around 1,300 kilometers. Its temperature scopes to about 5000°C. The internal has the most elevated thickness contrasted with the other. The warmth in the inside of the Earth is brought about by the radioactive rot of uranium in the internal center, which discharges considerable measure of heat.

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<h3>Core Curriculum category</h3>

Subject : Geography

Class : 8

Subchapter : Earth and its structure.

4 0
3 years ago
Read 2 more answers
Help me. It's question 2 I need the answer for
Alex73 [517]
Ok, let me see if I can help

Sound is caused by vibrations. These can pass through a solid, liquid, and gas. But not through vacuum because there are no particles
6 0
3 years ago
Ls -2 a solution of 4x +3= -5?.<br>​
torisob [31]

Answer:

yes

Explanation:

Let's solve your equation step-by-step.

4x+3=−5

Step 1: Subtract 3 from both sides.

4x+3−3=−5−3

4x=−8

Step 2: Divide both sides by 4.

4x  / 4  =  −8  / 4

x=−2

Hope it helps,

Please mark me as the brainliest

Thank you

5 0
3 years ago
A 65-kg swimmer pushes on the pool wall and accelerates at 6 m/s^2. The friction experienced by the swimmer is 100 N. How many N
Helga [31]

Answer:

490N

Explanation:

According Newton's second law!

\sum Force = mass × acceleration

Fm - Ff = ma

Fm is the moving force

Ff s the frictional force = 100N

mass = 65kg

acceleration = 6m/s²

Required

Moving force Fm

Substitute the given force into thr expression and get Fm

Fm -100 = 65(6)

Fm -100 = 390

Fm = 390+100

Fm = 490N

Hence the force that will cause two cart to move is 490N

5 0
3 years ago
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