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tensa zangetsu [6.8K]
3 years ago
14

The flat-bed trailer carries two 2000-kg beams with the upper beam secured by a cable. The coefficients of static friction betwe

en the two beams and between the lower beam and the bed of the trailer are 0.25 and 0.30, respectively. Knowing that the load does not shift, determine
1. The maximum acceleration of the trailer and the corresponding tension in the cable
2. The maximum deceleration of the trailer.

Engineering
1 answer:
Lina20 [59]3 years ago
8 0

Answer:

attached below

Explanation:

You might be interested in
The throttling valve is replaced by an isentropic turbine in the ideal vapor-compression refrigeration cycle to make the ideal v
Zarrin [17]

Answer:

False

Explanation:

The given statement is False. In real scenario the throttling valve not replaced by an isentropic turbine in the ideal vapor-compression refrigeration cycle. It is done so that the ideal vapor-compression refrigeration cycle to make the ideal vapor-compression refrigeration cycle more closely approximate the actual cycle.

4 0
3 years ago
Within a cubic unit cell, sketch the directions of [012], [721], [110].
exis [7]

Answer:

[012]  :

Here x component is zero. That is why this is  in y- z plane

[721] :      

This is  in  all three plane .It means it is in space.

[110]  :

Here z component is zero.

That is why this is  in x -y plane

From the cubic unit directions we can easily understand all given directions  [012], [721], [110].

7 0
3 years ago
Iron has a BCC crystal structure, an atomic radius of 0.124 nm, and an atomic weight of 55.85 g/mol. Compute and compare its the
Andre45 [30]

Answer:

Explanation:

The density of the unit cell of a material, Iron in this case, has to be approximately equal  with its experimental value of 7.87 g/cm³.

The density d = m/v, so what we need to do is calculate the volume of the unit cell and its mass and perform the calculation.

For a BCC crystal structure the length of the side of the cube is given by:

a = 4r/√3

where a is the atomic radius of Iron

first we will convert this radius to cm since we want the density in g/cm³:

0.124 nm x  1 x 10⁻⁷ cm / nm = 1.24 x 10⁻⁸ cm

a = 4 x 1.24 x 10⁻⁸ cm /√3 = 2.86 x 10⁻⁸ cm

the volume of the cubic cell is:

v = a³ =  ( 2.86 x 10⁻⁸ cm )³ =2.35 x 10⁻²³ cm³

The mass of iron in the body centered cubic cell is obtained from the mass of the atoms in it:

BCC = 2 atoms / unit cell       ( 1/8 from the 8 corners + 1 in the center)

m = 2 atoms/unit cell x 1 mol/ 6.022 x 10²³ atoms  x 55.85 g/mol

   = 1.85 x 10⁻²² g

Therefore,

d = m/v = 1.85 x 10⁻²² g / 2.35 x 10⁻²³cm³ = 7.88 g/cm³

An excelent agreement which confirms that the density of the BCC unit cell agrees with the experimental value.

4 0
4 years ago
Carbon dioxide (CO2) is compressed in a piston-cylinder assembly from p1 = 0.7 bar, T1 = 320 K to p2 = 11 bar. The initial volum
tekilochka [14]

Answer:

W_{12}=-53.9056KJ

Part A:

Q=-7.03734 KJ/Kg (-ve sign shows heat is getting out)

Part B:

Q=1.5265KJ/Kg (Heat getting in)

The value of Q at constant specific heat is approximately 361% in difference with variable specific heat and at constant specific heat Q has opposite direction (going in) than Q which is calculated in Part B from table A-23. So taking constant specific heat is not a good idea and is questionable.

Explanation:

Assumptions:

  1. Gas is ideal
  2. System is closed system.
  3. K.E and P.E is neglected
  4. Process is polytropic

Since Process is polytropic so  W_{12} =\frac{P_{2}V_{2}-P_{1}V_{1}}{1-n}

Where n=1.25

Since Process is polytropic :

\frac{V_{2}}{V_{1}}=(\frac{P_{1}}{P_{2}})^{\frac{1}{1.25}} \\V_{2}= (\frac{P_{1}}{P_{2}})^{\frac{1}{1.25}} *V_{1}

V_{2}= (\frac{0.7}{11})^{\frac{1}{1.25}} *0.262\\V_{2}=0.028924 m^3

Now,W_{12} =\frac{P_{2}V_{2}-P_{1}V_{1}}{1-n}

W_{12} =\frac{11*0.028924-0.7*0.262}{1-1.25}(\frac{10^{5}N/m^2}{1 bar})(\frac{1  KJ}{10^{3}Nm})

W_{12}=-53.9056KJ

We will now calculate mass (m) and Temperature T_2.

m=\frac{P_{1}V_{1}}{RT_{1}}\\ m=\frac{0.7*0.262}{\frac{8.314KJ}{44.01Kg.K}*320}(\frac{10^{5}N/m^2}{1 bar})(\frac{1  KJ}{10^{3}Nm})\\m=0.30338Kg

T_{2} =\frac{P_{2}V_{2}}{Rm}\\ m=\frac{11*0.028924}{\frac{8.314KJ}{44.01Kg.K}*0.30338}(\frac{10^{5}N/m^2}{1 bar})(\frac{1  KJ}{10^{3}Nm})\\T_{2} =555.14K

Part A:

According to energy balance::

Q=mc_{v}(T_{2}-T_{1})+W_{12}

From A-20, C_v for Carbon dioxide at 300 K is 0.657 KJ/Kg.k

Q=0.30338*0.657(555.14-320)+(-53.9056)

Q=-7.03734 KJ/Kg (-ve sign shows heat is getting out)

Part B:

From Table A-23:

u_{1} at 320K = 7526 KJ/Kg

u_{2} at 555.14K = 15567.292 (By interpolation)

Q=m(\frac{u(T_{2})-u(T_{1})}{M} )+W_{12}

Q=0.30338(\frac{15567.292-7526}{44.01} )+(-53.9056)

Q=1.5265KJ/Kg (Heat getting in)

The value of Q at constant specific heat is approximately 361% in difference with variable specific heat and at constant specific heat Q has opposite direction (going in) than Q which is calculated in Part B from table A-23. So taking constant specific heat is not a good idea and is questionable.

7 0
4 years ago
A steel cylindrical pressure vessel has an inside diameter of 2m and a wall thickness of 2cm. If the steel has a yield stress Y
Feliz [49]

Answer:

The pressure that will cause yielding in the tank in the longitudinal direction is 1.7 Mpa

Explanation:

We are dealing with a thin-walled pressure vessel here.

the formula for calculating the hoops stress of this pressure vessel is \sigma =P d/4t

\sigma Y = longitudinal yield stress = 425  \times 10^{6} Pa

Thickness = 2/1000 =0.002m

Outside diameter = inside siameter + thickness =  2m + 0.002m= 2.002m

Dm = Mean diameter = Outside diameter - thickness = 2.002 - 0.002 = 2m

P= 425 \times 10^{6} \times 4 \times 0.002 /2=1.7 Mpa

4 0
3 years ago
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