1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Marina86 [1]
3 years ago
13

A sign erected on uneven ground is guyed by cables EF and EG. If the force exerted by cable EF at E is 46 lb, determine the mome

nt of that force about the line joining points A and D.
Engineering
1 answer:
Vikki [24]3 years ago
3 0

Answer:

M_AD = 1359.17 lb-in

Explanation:

Given:

- T_ef = 46 lb

Find:

- Moment of that force T_ef about the line joining points A and D.

Solution:

- Find the position of point E:

                           mag(BC) = sqrt ( 48^2 + 36^2) = 60 in

                           BE / BC = 45 / 60 = 0.75

Hence,                E = < 0.75*48 , 96 , 36*0.75> = < 36 , 96 , 27 > in

- Find unit vector EF:

                           mag(EF) = sqrt ( (21-36)^2 + (96+14)^2 + (57-27)^2 ) = 115 in

                           vec(EF) = < -15 , -110 , 30 >

                           unit(EF) = (1/115) * < -15 , -110 , 30 >

- Tension            T_EF = (46/115) * < -15 , -110 , 30 > = < -6 , -44 , 12 > lb

- Find unit vector AD:

                           mag(AD) = sqrt ( (48)^2 + (-12)^2 + (36)^2 ) = 12*sqrt(26) in

                           vec(AD) = < 48 , -12 , 36 >

                           unit(AD) = (1/12*sqrt(26)) * < 48 , -12 , 36 >

                           unit (AD) = <0.7845 , -0.19612 , 0.58835 >

Next:

                           M_AD = unit(AD) . ( E x T_EF)

                           M_d = \left[\begin{array}{ccc}0.7845&-0.19612&0.58835\\36&96&27\\-6&-44&12\end{array}\right]

                            M_AD = 1835.73 + 116.49528 - 593.0568

                            M_AD = 1359.17 lb-in

You might be interested in
Lets Try This: study the pictures. Describe what you see and think about it. write your answer on a sheet of paper. home room
Yuliya22 [10]

Answer: I see three children cleaning the lawn while one of them are raking the leaves and one is holding a dust pan. The other child is holding a bucket. On the other picture, i see a young boy watering plants.

BTW: these pictures are not very clear so answers may vary.

Explanation:

4 0
2 years ago
A driver is traveling at 90 km/h down a 3% grade on good, wet pavement. An accident
Paul [167]

Answer:

0.35

Explanation:

We resolve the component of the weight of the car along and perpendicular to the grade. We have mgsinФ and mgcosФ where Ф = angle of grade.

Now, the frictional force f = μN = μmgcosФ where μ = coefficient of friction

So, the net force along the grade is F = mgsinФ - μmgcosФ.

The work done by this force moving a distance, d along the grade is

W = (mgsinФ - μmgcosФ)d

This work equals the change in kinetic energy of the car. So ΔK = 1/2m(v₂² - v₁²) = W = (mgsinФ - μmgcosФ)d

1/2m(v₂² - v₁²) = (mgsinФ - μmgcosФ)d

1/2(v₂² - v₁²) = (gsinФ - μgcosФ)d

(v₂² - v₁²)/2d = (gsinФ - μgcosФ)

dividing through by gcosФ, we have

(v₂² - v₁²)/2dgcosФ = (gsinФ/gcosФ) - μgcosФ/gcosФ

(v₂² - v₁²)/2dgcosФ = tanФ -  μ

μ = tanФ - (v₂² - v₁²)/2dgcosФ

given that tanФ = 3% = 3/100 and 1 + tan²Ф = 1/cos²Ф, cosФ = 1/(√1 + tan²Ф) = 1/(√1 + (3/100)²) = 1/(√1 + (9/10000)) = 1/(√10000 + 9/10000) = 1/√(10009/10000) = 100/√10009 = 100/100.05 = 0.9995.

Also, given that v₁ = 90 km/h = 90 × 1000/3600 m/s = 25 m/s and v₂ = 45 km/h = 45 × 1000/3600 m/s = 12.5 m/s, d = 75 m and g = 9.8 m/s².

So, substituting the values of the variables into the equation, we have

μ = tanФ - (v₂² - v₁²)/2dgcosФ

μ = 3/100 - ((12.5 m/s)² - (25 m/s)²)/(2 × 75 m × 9.8 m/s² × 0.9995)

μ = 3/100 - ((156.25 m/s)² - (625 m/s)²)/1,469.265 m²/s²

μ = 3/100 - (-468.75 m²/s²)/1,469.265 m²/s²

μ = 3/100 + 468.75 m²/s²/1,469.265 m²/s²

μ = 0.03 + 0.32

μ = 0.35

So, theoretical friction  coefficient is 0.35

4 0
3 years ago
Define coordination number. How does this differ from atomic packing factor?
Fynjy0 [20]

Answer:

Coordination number:

        Coordination number can be defined as the number of nearest atoms which touch the central atom.In simple word the number of neighbours atoms which touches a an atoms.

Atomic packing factor :

It is also known as packing efficiency.It is the fraction of volume in a Crystal which is filled by constituent particles.It is always less than 1.Generally it is represented in the fraction.

Ex:

Lets take FCC cubic cell

Coordination number = 12 .

Atomic packing factor = 74%

4 0
2 years ago
Flip-flops are normally used for all of the following applications, except ________. logic gates data storage frequency division
SpyIntel [72]

Flip-flops are normally used for all of the following applications, except  logic gates.

<h3>What are Flip flops?</h3>

Flip flops are known to be tools that are used for counting. They come in different ranges.

Note that Flip flops are one that can be seen on counters, storage registers, and others and as such, Flip-flops are normally used for all of the following applications, except  logic gates.

Learn more about  Flip flops from

brainly.com/question/4237777

#SPJ1

6 0
1 year ago
The base class Pet has attributes name and age. The derived class Dog inherits attributes from the base class Pet class and incl
Nonamiya [84]

Answer:

Explanation:

class Pet:

   def __init__(self):

       self.name = ''

       self.age = 0

   def print_info(self):

       print('Pet Information:')

       print('   Name:', self.name)

       print('   Age:', self.age)

class Dog(Pet):

   def __init__(self):

       Pet.__init__(self)

       self.breed = ''

def main():

   my_pet = Pet()

   my_dog = Dog()

   pet_name = input()

   pet_age = int(input())

   dog_name = input()

   dog_age = int(input())

   dog_breed = input()

   my_pet.name = pet_name

   my_pet.age = pet_age

   my_pet.print_info()

   my_dog.name = dog_name

   my_dog.age = dog_age

   my_dog.breed = dog_breed

   my_dog.print_info()

   print('   Breed:', my_dog.breed)

main()

3 0
3 years ago
Other questions:
  • A PV battery system has an end-to-end efficiency of 77%. The system is used to run an all-AC load that is run only at night. The
    11·1 answer
  • A evolução da malha rodoviária do Brasil é um marco notável
    9·1 answer
  • Getting a haircut from a barber is an example of a service that can be purchased. Please select the best answer from the choices
    9·2 answers
  • An actual vapour compression system comprises following process represents a. 1-2 Compression process b. 2-3 Condens 1 (or heat
    5·1 answer
  • True or False? Duties of the company officials should be discussed
    11·1 answer
  • Define, in words the following i relative humidity ii) dew point temperature
    7·1 answer
  • Can you screen record on WOW Presents Plus on iPhone?
    12·1 answer
  • I need solution fast plesss​
    9·1 answer
  • Eugene runs a company that manufactures bricks. The manufacturing process consumes a lot of energy and causes pollution, which t
    9·2 answers
  • Technician A that shielding gas nozzles may have different shapes. Technician B says that gelding gas nozzles is attached to the
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!