how to find the vertical reaction force of a truss statics
Answers
To find the vertical reaction force of a truss in statics, one can use the method of joints. The method of joints is a technique used to determine the unknown forces acting at the joints of a truss.
Using the method of jointsThis method is based on the fact that the forces in a truss are only transmitted along its members and not through the joints.
To find the vertical reaction force of a truss using the method of joints, one can follow the steps given below:
1: Draw a free-body diagram of the entire truss, indicating all the external loads acting on the truss. The free-body diagram should show the entire truss, including the supports, and the external loads.
2: Choose any joint that has no more than two unknown forces acting on it. Label all the forces acting at the joint, and assume the direction of each force. The direction assumed should be consistent with the free-body diagram drawn in step 1. If the assumed direction of a force is wrong, it will be negative when the actual direction is positive, and vice versa.
3: Apply the equilibrium conditions (ΣFx = 0 and ΣFy = 0) to the joint. Solve the equations to determine the unknown forces. Repeat steps 2 and 3 for all other joints in the truss.
4: Once all the unknown forces have been determined, check the equilibrium of the entire truss by drawing the free-body diagram of the entire truss again and verifying that the forces balance. If the forces do not balance, there is an error in the calculations, and the method should be repeated.
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Related Questions
please help me it takes do long to do this please
Answers
Answer:
Step-by-step explanation:
a. (I) x = 65
(ii) vertically opposite angles are equal.
b. (i) 71 degrees
(ii) alternate interior angles are equal
c. (i) z = 180 - 71 = 109 degrees
(ii) angles on a line add up to 180 degrees
Hope this helpsAnswer:
x = 65°, y = 71°, z = 44°
Step-by-step explanation:
x and 65 are vertical angles and congruent, thus
x = 65°
y and 71 are alternate angles and congruent, thus
y = 71°
The sum of the 3 angles in a triangle = 180°, thus
z = 180° - (65 + 71)° = 180° - 136° = 44°
Hence
x = 65°, y = 71° and z = 44°
I need this answered please
Answers
3a is a coefficient.
7b and 5b are like terms.
8 is a constant.
A coefficient in algebra is a number multiplied by a variable.
A term is a group of numbers or variables added together.
A constant is a number alone; no variable stands by it.
A factor is a number multiplied by either another number or a variable.
Question 5 of 10
Which pair of functions are inverses of each other?
O A. f(x) = 2 + 15 and g(x) = 12x - 15
O B. f(x) = √3x and g(x) = () ³
O c. f(x) = 3 - 10 and g(x) = +10
3
D. f(x) = 11x-4 and g(x) = +4
Answers
The correct answer is D. f(x) = 11x - 4 and g(x) = (x + 4)/11
To determine which pair of functions are inverses of each other, we need to check if the composition of the functions results in the identity function, which is f(g(x)) = x and g(f(x)) = x.
Let's test each option:
Option A:
f(x) = x/2 + 15
g(x) = 12x - 15
f(g(x)) = (12x - 15)/2 + 15 = 6x - 7.5 + 15 = 6x + 7.5 ≠ x
g(f(x)) = 12(x/2 + 15) - 15 = 6x + 180 - 15 = 6x + 165 ≠ x
Option B:
f(x) = ∛3x
g(x) = (x/3)^3 = x^3/27
f(g(x)) = ∛3(x^3/27) = ∛(x^3/9) = x/∛9 ≠ x
g(f(x)) = (∛3x/3)^3 = (x/3)^3 = x^3/27 = x/27 ≠ x
Option C:
f(x) = 3/x - 10
g(x) = (x + 10)/3
f(g(x)) = 3/((x + 10)/3) - 10 = 9/(x + 10) - 10 = 9/(x + 10) - 10(x + 10)/(x + 10) = (9 - 10(x + 10))/(x + 10) ≠ x
g(f(x)) = (3/x - 10 + 10)/3 = 3/x ≠ x
Option D:
f(x) = 11x - 4
g(x) = (x + 4)/11
f(g(x)) = 11((x + 4)/11) - 4 = x + 4 - 4 = x ≠ x
g(f(x)) = ((11x - 4) + 4)/11 = 11x/11 = x
Based on the calculations, only Option D, where f(x) = 11x - 4 and g(x) = (x + 4)/11, satisfies the condition for being inverses of each other. Therefore, the correct answer is:
D. f(x) = 11x - 4 and g(x) = (x + 4)/11
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Paisley needs to order some new supplies for the restaurant where she works. The restaurant needs at least 587 glasses. There are currently 307 glasses. If each set on sale contains 20 glasses, which inequality can be used to determine the minimum number of sets of glasses Paisley should buy?
as a equation please
Answers
Answer:
The restaurant needs at least 587 glasses
587-307 = 280
each set contains 20 glasses
14 sets contain 280 glasses
let the minimum number of sets be x
x ≥ 14
The inequality represents the minimum number of sets of glasses Paisley should buy is 14 ≥ x.
The relationship between two or more expressions that is either greater or less than each other but not equal to each other is called inequality.
Given that:
Number of glasses the restaurant needs = 587
Number of glasses the restaurant has = 307
Since each set contains 20 glasses, the total number of glasses in "x" sets would be 20x.
The equation can be set as:
Total glasses needed ≥ Current glasses + Glasses in sets to buy
Substitute the values in the above inequality:
587 ≥ 307 + 20x
280 ≥ 20x
14 ≥ x
The inequality represents the minimum number of sets of glasses Paisley should buy is 14 ≥ x.
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Find the probability that both cards are clubs if the first card is not returned to the deck before the second card is selected
Answers
The probability that both cards are clubs if the first card is returned to the deck before the second card is selected is 0.0625 and the probability if the first card is not returned to the deck is 0.0588
What is probability?
Probability is a measure of the likelihood or chance of an event occurring. It is a number between 0 and 1, where 0 represents an impossible event and 1 represents a certain event.
a) The probability of selecting a club on the first draw is 13/52 (there are 13 clubs in a standard deck of 52 cards).
Since the card is returned to the deck before the second draw, the probability of selecting another club is also 13/52.
Using the multiplication rule of probability, we get (13/52) x (13/52) = 169/2704 = 0.0625, or approximately 6.25%.
b) If the first card is not returned to the deck, there will be one less card in the deck for the second draw, which changes the probability.
The probability of selecting a club on the first draw is still 13/52.
But for the second draw, there are only 12 clubs left in the deck out of 51 cards.
Using the multiplication rule of probability, we get (13/52) x (12/51) = 156/2652 = 0.0588, or approximately 5.88%.
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- A school starts at 7.50 am and finishes at 2.45 pm. How long is the school day?
Answers
When school starts at 7.50 am and finishes at 2.45 pm then the school day lasts 6 hours and 57 minutes.
To calculate the duration of the school day, we need to subtract the start time from the finish time.
Start time: 7.50 am
Finish time: 2.45 pm
First, let's convert the finish time to the 24-hour format for easier calculation.
Finish time (converted): 2.45 pm = 14.45
Now, we can subtract the start time from the finish time:
14.45 - 7.50 = 6.95 hours
However, we need to convert this decimal value to hours and minutes since we're dealing with time.
0.95 hours is equal to 0.95 * 60 = 57 minutes.
Therefore, the school day lasts for 6 hours and 57 minutes.
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what is 2/5 divided by -1/2 minus 3/2
Answers
Answer:
\( - \frac{23}{10} \)
Step-by-step explanation:
\( \frac{2}{5} \div \frac{ - 1}{2} - \frac{3}{2} \)
➡️ \( - \frac{2}{5} \times 2 - \frac{3}{2} \)
➡️ \( - \frac{4}{5} - \frac{3}{2} \)
➡️ \( - \frac{23}{10} \)
A train takes 1.5 hours to travel 525 km. Calculate the speed of the train in kilometers per hour.
Answers
Answer:
1.5 hours to 525 km
Speed in km/h=
\(525 \div 1.5 = 350 \: kmph\)
Step-by-step explanation:
XD
Please help me please help mee
Answers
Answer:
1.-profit
2.-$300
3.-25%
Step-by-step explanation:
1.- 1500-1200=300+
2.-(1)
3.-1200/100= 12
300/12= 25
At 5pm, you count 26,300 alien bacteria in your petri dish. If the growth rate is 2. 7%, how many bacteria will there be at midnight?.
Answers
The count increase in the alien bacteria at the midnight is 31692.
Here we have to find the count of alien bacteria at midnight.
Data given:
Count of alien bacteria at 5 pm = 26,300
Percentage increase in bacteria per hour = 2.7%
increase = 1 + 2.7/100
= 102.7
time = 12 - 5 = 7
The count of alien bacteria at midnight = 26,300 ×( 1.207 \()^{7}\)
= 31692
Therefore the alien bacteria at midnight is 31692.
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Relative to the cave opening, what integer represents the depth of the second
climber?
Answers
Answer:
what is the depth
Step-by-step explanation:
______ has at least one solution, and an inconsistent system has no solution.
Answers
The statement "Consistent system of equations has at least one solution, and an inconsistent system has no solution" is true.
In the context of systems of linear equations, a consistent system refers to a system where there exists at least one solution that satisfies all the equations in the system. This means that the equations can be simultaneously satisfied by a set of values for the variables.
On the other hand, an inconsistent system refers to a system of equations that has no solution. This occurs when the equations are contradictory or cannot be satisfied simultaneously by any values for the variables.
Therefore, a consistent system guarantees the existence of at least one solution, while an inconsistent system does not have any solution.
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PART 1: Sam brings x burgers to the BBQ. his friends Mike brings 5 more than 2 times as many burgers as Sam did. together they brought 50 burgers. please write an equation to represent this situationPART 2: solve the equation you created in part 1 for xPART 3: how many burgers did Mike to the BBQ
Answers
The number of burger sam bought = x
Let the number of burgers for mike be = y
the equation for the total number of burgers will be
\(x+y=50\ldots\ldots\ldots\ldots\ldots\ldots\ldots\ldots(\text{eqn 1)}\)Mike brought 5 more than 2 times as many burgers as sam will be represented as
\(y=2x+5\ldots\ldots\ldots\ldots\ldots\ldots\ldots..(Eqn\text{ 2)}\)By substituting Eqn 2 in Eqn 1 we will have
\(\begin{gathered} x+y=50 \\ x+2x+5=50 \\ 3x+5=50 \\ 3x=50-5 \\ 3x=45 \\ \frac{3x}{3}=\frac{45}{3} \\ x=15 \end{gathered}\)Therefore,
The value of x= 15
To calculate the number of burgers mike brought to the BBQ =y,
We will substitute the value of x in (Eqn 1) above
\(undefined\)
Consider the scatter plot shown. Which shows the line of best fit?
A.Line 1
B.Line 2
C.Line 3
Answers
Line 3 shows the line of best fit. The solution has been obtained by using the scatter plot.
What is a scatter plot?
In a scatter plot, the values for two different numerical variables are shown by dots (also known as a scatter chart or scatter graph).
We are given a graph on which three lines are drawn.
Line 1 connects the points in the way they fall on the sides of the line.
Line 2 connects the points in the way they fall on the line but many points are far from the line.
Line 3 connects the points in the way they fall on the line and other points closely packed to the line.
Hence, Line 3 shows the line of best fit.
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Solve the equation
-0.06y +0.11(10,000 - y)=0.08y
A. (2,750)
B (4,400)
C. (13,200)
D. (275)
Answers
Answer:
B. 4400Step-by-step explanation:
-0.06y +0.11(10,000 - y)=0.08y-0.06y + 110 - 0.11y = 0.08y-0.17y + 110 = 0.08y0.08y + 0.17y = 1100.25y = 110y = 110/0.25y = 4400Correct option is B.
23. the difference between the number of customers in line at the express checkout and the number in line at the super-express checkout in exercise 3 is x1 2 x2. calculate the expected difference.
Answers
The expected difference is 0.17
What is super express market?A supermarket is a self-service store with various food, drink, and household goods options divided into categories. While this type of store is bigger and has a wider variety of products than older grocery stores, it is smaller and offers a smaller selection of goods than a hypermarket or big-box market. Fresh meat, produce, dairy, deli foods, baked goods, etc. may usually be found in the store.
Additionally, shelf space is set aside for canned and packaged goods as well as a variety of non-food items like pet supplies, cleaning supplies, cookware, and household cleansers.
The table is: 0 1 2 3
x1 0 0.08 0.06 0.04 0.00
1 0.05 0.18 0.05 0.03
2 0.05 0.04 0.10 0.06
3 0.00 0.03 0.04 0.07
4 0.00 0.01 0.05 0.06
Expected difference =
+(0.08*(0-0)) +(0.06*(0-1)) +(0.04*(0-2)) +(0.00*(0-3)) +(0.05*(1-0)) +(0.18*(1-1)) +(0.05*(1-2)) +(0.03*(1-3)) +(0.05*(2-0)) +(0.04*(2-1)) +(0.10*(2-2)) +(0.06*(2-3)) +(0.00*(3-0)) +(0.03*(3-1)) +(0.04*(3-2)) +(0.07*(3-3)) +(0.00*(4-0)) +(0.01*(4-1)) +(0.05*(4-2)) +(0.06*(4-3))
= 0.17
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A bathtub has 50 gallons of water in it. It drains at a rate of 5 gallons per minute. How long will it take to drain?
Answers
Answer:
10 minutes
Step-by-step explanation:
50 divided by 5= 10
Answer:
10 minutes
Step-by-step explanation:
You are dividing in this equation 50 by 5
50 divided by 5 is 10 since 10x5 is 50
A rational number is defined as a number that can be expressed in the form p/q, where p and q are integers and (a) q = 0 (b) q = 1 (c) q ≠ 1 (d) q ≠ 0
Answers
Answer:
your answer is (d) which is q is not equal to 0
True or false the product of a complex number and its conjugate is a real numberi
Answers
Answer:
It is true that the product of a complex number and its conjugate is a real number.
Step-by-step explanation:
You're welcome.
Answer:
True
Step-by-step explanation:
....this is how you 'rationalize' denominators that have complex numbers in them
PLEASEE HELP HURRY URGENT
Answers
Answer:
D
Step-by-step explanation:
151 + 29 = 180
Answer:
D. ∠3 and ∠4 are supplementary angles
Step-by-step explanation:
Supplementary angles are two angles that add up to 180°
∠3=15° ∠4=29°
15° + 29° = 180°
So, ∠3 and ∠4 are suplementary angles.
:) ur welcome
an urn contains two blue balls (denoted b1 and b2) and three white balls (denoted w1,w2, and w3). one ball is drawn, its color is recorded, and it is replaced in the urn. then another ball is drawn and its color is recorded. a. let b1w2 denote the outcome that the first ball drawn is b1 and the second ball drawn is w2. because the first ball is replaced before the second ball is drawn, the outcomes of the experiment are equally likely. the total number of possible outcomes of the experiment is b. consider the event that the first ball that is drawn is blue. what is the probability of the event? probability
Answers
(a) The total number of possible outcomes of the experiment is 25 outcomes .
(b) The probability of the event that the first ball drawn is blue is 2/5 .
In the question ,
it is given that ,
the number of blue balls in the urn = 2 ( b1 and b2)
the number of white balls in the urn = 3 (w1 , w2 and w3)
also given that ,
one ball is drawn, its color is recorded and is replaced in urn. then another ball is drawn and the color is recorded .
Part(a) ,
the total number of possible outcomes for experiment will be
b1b1, b1b2, b1w1, b1w2, b1w3
b2b1, b2b2, b2w1, b2w2, b2w3
w1b1, w1b2, w1w1, w1w2, w1w2
w2b1, w2b2, w2w1, w2w2, w2w3
w3b1, w3b2, w3w1, w3w2, w3w3 .
So , total number of outcomes is = 25 .
Part(b) ,
From Part(a) , we can see that the outcomes with first ball blue are
b1b1, b1b2, b1w1, b1w2, b1w3
b2b1, b2b2, b2w1, b2w2, b2w3,
the number of outcomes with first ball blue is = 10 .
So , the probability = (number of outcomes with first ball blue)/(total number of outcomes) .
= 10/25
= 2/5 .
Therefore , total number of outcomes is 25 and the probability that first ball is blue is 2/5 .
The given question is incomplete , the complete question is
An urn contains two blue balls (denoted b1 and b2) and three white balls (denoted w1,w2, and w3). one ball is drawn, its color is recorded, and it is replaced in the urn. then another ball is drawn and its color is recorded.
(a) let b1w2 denote the outcome that the first ball drawn is b1 and the second ball drawn is w2. because the first ball is replaced before the second ball is drawn, the outcomes of the experiment are equally likely. the total number of possible outcomes of the experiment is .
(b) consider the event that the first ball that is drawn is blue. what is the probability of the event ?
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Make x the subject of the formula
X + p = q
Answers
Answer:
p+q=x
Step-by-step explanation:
PLEASE HELP ME! please!
Answers
Answer:
yes addison is right because using distributive property would get you from "5 (x + 1) - 2x = 2 (3 + x)" to "5x + 5 - 2x = 6 + 2x". from there, you'd combine like terms and simplify. you get "3x + 5 = 6 + 2x". Subtract 2x on each side, and you get "x + 5 = 6". Subtract 5 on each side, you get "x = 1".
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!QHELP
Answers
Answer:
sont yell at me the answer is the secoiund one
Step-by-step explanation:
Question 2 of 5 Which equation could be represented by the number line? A. -3 + 4 = 1 O 4 B. 3+ (-4)= -1 C. 1 + (-5) = -4 D. SUB
Answers
Answer:
I think it would be (B) if its not be than try it againg and maybe it will be A or D
You and your family order dinner to be delivered by uber eats. The bill is $36.00. You volunteer to pay the driver a tip. You only have $5.40. What percentage did you pay as a tip?
Answers
Answer:
15%
Step-by-step explanation:
problem: report error anabel's horse runs $24$ miles per hour. jackie's horse runs $28$ miles per hour. both horses stand at the starting line of a straight $2$-mile track, and jackie's horse starts running $30$ seconds after anabel's. how many miles from the starting line does jackie's horse catch up to anabel's?
Answers
The miles from the starting line does which jackie's horse catch up to Anabel's is 1.4 miles.
What is defined as the rate?The unit rate is distinct from the rate, which compares a certain number of units of first quantity to one unit of a second quantity. To put it another way, the second quantity with in comparison has always been 1. One minute, for example, has 60 seconds. As a result, we can convey that as 60 seconds per minute as a unit rate.Let the distance covered by Jackie's horse be 'd'.
Let the time taken be 't'.
Distance = time * rate
Jackie's horse travelled distance; d = 28t .....eq1
Anabel's horse travelled the distance d = 24t + 1/5. .....eq2
Equating equation 1 and 2.
28t = 24t + 1/5
Simplifying.
4t = 1/5
t = 1/20 hour.
The same distance can be covered in 1/20 hour ;
Put the value of t in eq 1.
d = 28t
d = 28(1/20)
d = 12/5 miles
d = 1.4 miles
Thus, the miles from the starting line does which jackie's horse catch up to Anabel's is 1.4 miles.
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Liam has a bag with x number of collectible coins. Mia has two bags, and the number of collectible coins in each one is 3 greater than the number of collectible coins in Liam’s bag. Which of the following represents the total number of collectible coins that Mia has in her two bags combined?
1: 6x
2: 3x + 2
3: 2x + 3
4: 3(x + 2)
5: 2(x + 3)
Answers
Explanation:
x = number of coins Liam has in his bag
Each bag Mia has is 3 greater than x.
So x+3 is the number of coins in one bag for Mia. Two such of her bags gives 2(x+3) = 2x+6 coins.
which expressions represent the distance between -1 and 4? choose all that apply.
Answers
Stephen is in first grade, and his class is creating pasta necklaces! There are two types
of pasta to use on the necklaces: long macaroni pieces, and small rotelle pieces which
look like wheels w|th spokes. The directions are to have no more than 35 pieces of
hold 20 macaroni noodles or 55
pasta on a necklace, and each string IS long enough to
pieces of rotelle.
Select the statement below that is not true.
Answers
Stephen's necklace, to start can accommodate 12 macaroni noodles and 23 rotelle pieces.
Necklace of Stephen can have 35 rotelle pieces.
Stephen's pendant can have 10 pieces of rotelle and 5 macaroni noodles.
explanation:
-
Option A is accurate because 35 pieces of pasta—the maximum permitted per necklace—are obtained by adding 12 macaroni noodles to 23 pieces of rotelle.
Option B is incorrect because the sum of the allowed 35 pasta pieces plus the 15 macaroni noodles and 21 rotelle pieces equals 36 pasta pieces.
Option C is accurate because 35 pieces of Rotelle do not exceed the upper limit.
Despite the fact that they still add up to the maximum allowed, Option D is false since a string
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