Answers
The tension at point AE is 28.8 lb, and the reactions at point D are RD = 64.6 lb and RE = 145.4 lb.
the tension at point AE First, we need to calculate the weight of the CD bar, which is given by WC = Weight of CD bar = 5 × 32lbWC = 160 lb
Now we can find the total weight supported by the system as follows: W = Weight of AE bar + Weight of CD bar + Weight of AD bar W = 40 + 160 + 10 = 210 lb
As the weight is distributed evenly, the vertical forces at D and E should be equal: RD + RE = 210 lb
Next, we will determine the moments around point D.
This will help us find the tension at point AE.∑MD = 0(-32 × 2) + (40 × 4) + (160 × 7) + (10 × 5) + AE × 10 = 0Solving for AE,AE = 28.8 lb
Determine the reactions at point D
Now we can solve for the reactions at point D.
∑Fy = 0RD + RE - 210 = 0RD + RE = 210 lb∑MD = 0(-32 × 2) + (40 × 4) + (160 × 7) + (10 × 5) + AE × 10 = 0Solving for RD,RD = 64.6 lb
Now that we have RD, we can solve for RE:RE = 210 - RDRE = 145.4 lb
Therefore, the tension at point AE is 28.8 lb, and the reactions at point D are RD = 64.6 lb and RE = 145.4 lb.
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Related Questions
A race car traveling northward on a straight, level track at a constant speed travels 0.739 km in 18.0 s. The return trip over the same track is made in 23.0 s.(a)What is the average velocity of the car in m/s for the first leg of the run? m/s(b)What is the average velocity (in m/s) for the total trip? m/s
Answers
a) The average velocity of the car for the first leg of the run = 41.06 m/s
b) The average velocity for the total trip = 0 m/s
Explanation:a) In the first leg of the journey:
Displacement covered = 0.739 km = 0.739 x 1000m = 739 m
The time taken = 18.0 s
The average velocity of the car = Displacement/Time
The average velocity of the car = 739/18
The average velocity of the car = 41.06 m/s
b) For the total trip
The displacement of the first leg = 0.739 km due North
The displacement of the return trip = 0.739 km (through the same trace)
Total displacement = 0.739 km - 0.739 km
Total displacement = 0 km = 0 m
Average velocity for the total trip = Displacemt/time
Average velocity for the total trip = 0 /time = 0 m/s
The principle of cross-cutting relationships states that certain features, such as faults, are than the rock layers they cut through. These features are breaks in Earth’s surface where rock has moved sideways, upward, or downward. formations are made of molten rock that has cooled. Those on Earth’s surface are called . Those beneath Earth’s surface are called .
Answers
Hendry throws an object vertically upwards at a velocity of 26,5 m⋅s-1 from the
edge of a cliff of height 120m. After some time, the projectile lands on the
ground below the cliff After 1 second, Cathy fires a second object upwards FROM THE
GROUND BELOW with a velocity of 45 m⋅s-1. Calculate the time and
distance will the two objects meet.
Answers
Hendry and Cathy will each throw an object, and the time and location at which they will collide can be determined using the laws of motion. Hendry's item had an initial velocity of 26.5 m/s, whereas Cathy's object had an initial velocity of 45 m/s. Hendry's object's equation of motion is given by: s = u*t + 0.5*a*t*2, where s is the displacement, u*t* is the starting velocity, t* is the time, and a*t* is the acceleration brought on by gravity.
The acceleration caused by gravity is negative since the item is being flung upward. The item that Cathy threw has the following equation of motion: s = u * t - 0.5 * a * t2.where s is the distance travelled, u is the starting speed, t is the passage of time, and an is the acceleration brought on by gravity. The acceleration caused by gravity is negative since the item is being flung upward.
These equations allow us to determine the location and timing of the two items' collision. By figuring out the two equations for t, one may determine the moment when the objects will collide. By changing the value of t in either equation, one may determine the distance at which the objects will collide. Therefore, using the equations of motion, it is possible to determine the moment and distance at which the two objects will collide.
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A 23cm hammer is used to pull a nail. If 42.5 N of force is applied to it at a 45° angle, how much torque is applied?
Answers
Answer:6.91 Nm
Explanation:
Make a poem about waves with 12 Lines and 3 Stanzas.
Answers
In a ocean full of storms
A new wave was born
Deep into that darkness flooding
Suddenly, I heard some pummeling
By the grave I saw the winds
And the sun just shined
Answer:
a friendly face that comes with waves,
the waves of all the memorial days,
and with these days we smile with pride,
as for the waves we used to ride,
given up the day has passed,
how it went away like an hour glass,
as if we knew the world was right,
just like the waves, oh so bright,
the time has come the days have passed,
the waves ashore the waves alast,
as if the friendly face was right,
the waves that rode, oh goodnight.
A 6.30-N force is applied to a 4.5-kg object to accelerate it rightwards. Neglecting any frictional forces, what is the acceleration of the object?
Answers
Answer:
1.4 m/s2
Explanation:
i took the test
(b) Calculate the force required to topple a
person of mass 70 kg, standing with his feet
spread 0.9 m apart as shown in figure. Assume
the person does not slide and the weight of
the person is equally distributed on both feet.
Answers
Which of the following is true about a field goal?
A shot from half court.
It is worth two points.
It is shot from behind the 3-point line.
It is a free shot given when a player is fouled.
Answers
Answer:
which sport are you referring to?
Explanation:
The phrase "ten meters per second squared" describes the
Answers
Answer:
Acceleration
Explanation;
change in velocity over timeTherefore metre per second over second, which is meter per second squaredwhat is the Vector product of A=2.00i+3.00j+1.00k and B= 1.00i -3.00j -2,00k
Answers
The vector product of A=2.00i+3.00j+1.00k and B=1.00i-3.00j-2.00k is C=9.00i+4.00j-9.00k.
To find the vector product (also known as the cross product) of two vectors, A and B, we can use the following formula:
C = A × B
Where C is the resultant vector, A and B are the given vectors, and × denotes the cross product.
Given A = 2.00i + 3.00j + 1.00k and B = 1.00i - 3.00j - 2.00k, we can substitute these values into the formula to find the vector product:
C = (2.00i + 3.00j + 1.00k) × (1.00i - 3.00j - 2.00k)
Now, let's expand the cross product using the properties of vector products:
C = (2.00i × 1.00i) + (2.00i × -3.00j) + (2.00i × -2.00k) +
(3.00j × 1.00i) + (3.00j × -3.00j) + (3.00j × -2.00k) +
(1.00k × 1.00i) + (1.00k × -3.00j) + (1.00k × -2.00k)
Now, let's calculate each of these cross products:
C = (2.00 × 1.00) \(i^2\) + (2.00 × -3.00) i × j + (2.00 × -2.00) i × k +
(3.00 × 1.00) j × i + (3.00 × -3.00) \(j^2\) + (3.00 × -2.00) j × k +
(1.00 × 1.00) k × i + (1.00 × -3.00) k × j + (1.00 × -2.00) \(k^2\)
Since i × j = k, j × k = i, and k × i = j, we can simplify the expression further:
C = 2.00k - 6.00i + 4.00i - 9.00j + k - 3.00j - 2.00j - 2.00k
Combining like terms, we get:
C = (2.00i + 4.00i) + (-6.00i - 9.00j - 3.00j) + (2.00k + k - 2.00k)
Simplifying further:
C = 6.00i - 12.00j + k
Therefore, the vector product of A and B is C = 6.00i - 12.00j + k, which can be written as C = 9.00i + 4.00j - 9.00k in terms of i, j, and k.
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The vector product of A and B is -3i - 5j - 9k.
Explanation:The vector product, also known as the cross product, of two vectors A and B is denoted as A x B. It is a vector that is perpendicular to both A and B. To calculate the vector product, you can use the formula A x B = (Ay * Bz - Az * By)i + (Az * Bx - Ax * Bz)j + (Ax * By - Ay * Bx)k.
In this case, we have A = 2.00i + 3.00j + 1.00k and B = 1.00i - 3.00j - 2.00k. Substituting the values into the formula, we get A x B = (3 * -2 - 1 * -3)i + (1 * 1 - 2 * -2)j + (2 * -3 - 3 * 1)k = -3i - 5j - 9k.
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What is one of the causes of mechanical weathering?
acid rain
oxidation
animal actions
carbon dioxide
Answers
The cause of mechanical weathering among the given options is animal actions. The correct answer is option C
WEATHERINGThis is the breaking down of rocks and minerals into particles of matters
There are three types of weathering. They are:
Physical weatheringchemical weatheringbiological weatheringThe one which is the cause of mechanical weathering among the given options is animal actions.
Therefore, the correct answer is option C
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Answer:
the answer is C animal actions
Explanation:
EDG 2022
A 2.5 kg canoe is traveling up the mississippi river at a velocity of 10m/s, north. What is its kinetc energy
Answers
Answer:
Explanation:
Given:
m = 2.5 kg
V = 10 m/s
__________
Wk - ?
Wk = m·V² / 2
Wk = 2.5·10² / 2 = 125 J
A marine weather station reports waves along the shore that are 2 meters high, 8 meters long, and reach the station 8 seconds apart. Determine the speed of these waves.
Answers
One full weather station reports wave passing a spot every second is equivalent to a frequency of 1 Hz. The frequency is 48=12=0.5 Hz if 4 waves pass a spot in 8 seconds.
What is the frequency of a 30-second ocean wave that hits the shore?The number of cycles that make up a time unit is the frequency. The frequency of a wave with a 30-second period is therefore 1 30 = 0.033 cycles per second, or 0.033 Hertz (Hz).
Which of the following statements most accurately sums up how a wave crosses a border and enters a new medium?A wave's speed and wavelength vary as it crosses a border and enters a new medium, but its frequency doesn't.
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The image shows a normal fault. Identify the parts of the fault.
Answers
Answer: Answers are below.
Explanation: The box to the left is a footwall, the middle box is the fault plane, and the box to the right is a hanging wall. Blocks that lie above a fault plane are called a hanging wall and blocks that lie below a fault plane are called a footwall.
Let me know if this is right! :)
a baseball is hit almost straight up into the air with a speed of 25m/s estimate how high it goes, how long it is in the air, and what factors make this estimate?
Answers
The maximum height reached by the baseball is 31.89 m and the time taken to reach there is 1.3 seconds
What is Linear Motion ?Linear motions are straight line motions. It can be horizontal motion, or vertical motion which is motion under gravity.
Given that a baseball is hit almost straight up into the air with a speed of 25m/s estimate how high it goes.
At the maximum height, final velocity V = 0
Using third equation of motion, that is, V² = U² - 2gH, we can estimate how high it goes.
0 = 25² - 2 × 9.8 × H
625 = 19.6H
H = 625/19.6
H = 31.89 m
To know how long it is in the air, the factors that make this estimate will be
The speed = 25 m/sThe distance travelled H = 31.89 mThe time t = ?Speed = s / t
25 = 31.89 / t
t = 31.89 / 25
t = 1.2756
t = 1.3 s
Therefore, the maximum height reached by the baseball is 31.89 m and the time taken to reach there is 1.3 seconds
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One of the characteristics of the planet mars that makes it very different from earth is that it does not have a large magnetic field. based on what you know about earth's magnetic field, what do you think is different about mars' interior?
Answers
Answer:
It’s solid
Explanation:
if secondary productivity is determined by the amount of tissue produced by grass and shrubs in a given year, this is an example of top down control detritus food chain mineralization bottom up control
Answers
If secondary productivity is determined by the amount of tissue produced by grass and shrubs in a given year, this is an example of bottom- up control.
The bottom-up control is driven by the presence or absence of the producers in the ecosystem. Changes in their population will affect the population of all the species in the food web, and thus, the ecosystem. This approach is also called the resource-controlled (or food-limited) food web of an ecosystem.
An example of bottom-up control would be nutrient driven changes to seagrass ecosystems. In the northern Gulf of Mexico increases in nutrient levels to seagrass meadows from land runoff can cause increased growth of the epiphytes that grow on seagrass blades.
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Please explain thoroughly and show work if needed! Thank youuu :) -If the period of a pendulum decreases from 8 seconds to 2 seconds, how will that affect the frequency of the pendulum?
Answers
Answer:
Physics
Explanation:
The period of a pendulum is the time it takes for the pendulum to complete one full oscillation, or swing back and forth. The frequency of a pendulum, on the other hand, is the number of oscillations it completes in one second. The frequency is calculated by taking the reciprocal of the period, or 1/period.
If the period of a pendulum decreases from 8 seconds to 2 seconds, it means that the pendulum is swinging back and forth more quickly, as it is taking less time to complete one full oscillation. To find the new frequency of the pendulum, we can use the formula:
frequency = 1 / period
Initially, when the period was 8 seconds, the frequency was:
frequency = 1 / 8 = 0.125 Hz
After the period decreased to 2 seconds, the new frequency can be calculated as:
frequency = 1 / 2 = 0.5 Hz
So, the frequency of the pendulum increases from 0.125 Hz to 0.5 Hz when the period decreases from 8 seconds to 2 seconds. This means that the pendulum is oscillating at a faster rate, completing more oscillations in one second.
Example 2.2 (Lecture Notes)
Three coplanar forces of
magnitudes 80 N, 50 N and
60 N act a point O as shown
in the figure. Determine the
resultant of these force.
A
C
50 N
达
20
60⁰
80 N
60 N
Basic Mechanics Lecture Notes Prepared By E. Adaze, Lecturer, Dept. of Mech. Eng., UMAT, Tarkwa 2021
B
16
Resolution of Forces into Components
Answers
There is no consequence when a point experiences three or more coplanar forces and the vector diagram closes. The forces affecting the point are balanced.
How do you calculate the coplanar forces' resultant force?On the other hand, the Pythagorean Theorem, F = SQRT (Fx2 + Fy2), can be used to get the consequent if the magnitude of the rectangular components is known. Knowing that the tan is equal to the opposite side of the adjacent side, one can use trigonometry to calculate the direction of the resultant.
Let us resolve each of the forces into components along the x and y axes.
For the 80 N force:
Fx = 80 N cos(60°) = 80 N x 0.5 = 40 N
Fy = 80 N sin(60°) = 80 N x 0.866 = 69.28 N
For the 50 N force:
Fx = 50 N cos(20°) = 50 N x 0.94 = 47 N
Fy = 50 N sin(20°) = 50 N x 0.342 = 17.10 N
For the 60 N force:
Fx = 60 N cos(60°) = 60 N x 0.5 = 30 N
Fy = 60 N sin(60°) = 60 N x 0.866 = 51.96 N
Resultant Force:
The resultant force is then determined by adding the components:
Fx = 40 N + 47 N + 30 N = 117 N
Fy = 69.28 N + 17.10 N + 51.96 N = 138.34 N
Therefore, the magnitude of the resultant force is:
|F| = √(Fx2 + Fy2) = √(117 x 117 + 138.34 x 138.34) = 184.2 N
The direction of the resultant force is:
θ = tan−1(Fy/Fx) = tan−1(138.34/117) = 55.7°
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it the frequency of a wave is increased it’s
and
will decrease but its
will stay the same.
Answers
Answer:
Wavelength will decrease but frequency will stay the same.
Explanation:
The higher the frequency, the shorter the wavelength. The relationship between wavelength and frequency is called an inverse relationship, because as the frequency increases, the wavelength decreases.
However, the frequency usually remains the same because it is like a driven oscillation and maintains the frequency of the original source. If v changes and f remains the same, then the wavelength λ λ must change. Since v = f λ v = f λ , the higher the speed of a sound, the greater its wavelength for a given frequency.
A 5 kW, 230 V motor draws a current of 24 A from the supply. Determine the efficiency of this motor.
Answers
The efficiency of motor is 90.58%.To determine the efficiency of the motor, we need to calculate the input power and the output power, and then divide the output power by the input power
The input power can be calculated using the formula:
Input Power = Voltage × Current
Given that the voltage is 230 V and the current is 24 A, we have:
Input Power = 230 V × 24 A
Input Power = 5520 W (or 5.52 kW)
The output power of the motor is given as 5 kW (since it is a 5 kW motor).
Now, we can calculate the efficiency:
Efficiency = (Output Power / Input Power) × 100%
Efficiency = (5 kW / 5.52 kW) × 100%
Efficiency ≈ 90.58%
Therefore, the efficiency of this motor is approximately 90.58%.
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What is a small portable device that counts every step taken throughout the day?
A.stethoscope
B.pedometer
C.otoscope
D.thermometer
Answers
Answer: B
Explanation: i learned it last year
Pedometer is a small portable device that counts every step taken throughout the day. The correct option is (B).
A pedometer is a small portable device that counts the number of steps taken by an individual throughout the day. It is typically worn on the waist or carried in a pocket and uses a mechanism to detect body motion and count each step.
Pedometers are commonly used for tracking physical activity and encouraging individuals to achieve daily step goals as part of their fitness routines.
Therefore, Pedometer is a small portable device that counts every step taken throughout the day. Choose the option (B).
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A toy car is placed 19.23 cm away from a lens that has a focal length of 5.05 cm. By how much is the car magnified? Where would you need to place an object to make its image appear 15.34 cm away from a lens if the lens has a focal length of 3.16 cm?
Answers
In order to find by how much is the car magnified, first let's find the position of the image using the formula below:
\(\frac{1}{f}=\frac{1}{d_o}+\frac{1}{d_i}\)Where f is the focal length, do is the object position and di is the image position.
After converting all measures to meters, we have:
\(\begin{gathered} \frac{1}{0.0505}=\frac{1}{0.1923}+\frac{1}{d_i}\\ \\ 19.80198=5.20021+\frac{1}{d_i}\\ \\ \frac{1}{d_i}=14.60177\\ \\ d_i=0.0685\text{ m}=6.85\text{ cm} \end{gathered}\)Now, to find the magnification factor, we use the formula below:
\(M=\frac{-d_i}{d_o}=\frac{-0.0685}{0.1923}=0.356\)The car is magnified by a factor of 0.356 (that is, the image is smaller than the object)
Now, for the second part of the question, let's use the first formula again, with f = 0.0316 m and di = 0.1534 m:
\(\begin{gathered} \frac{1}{f}=\frac{1}{d_o}+\frac{1}{d_i}\\ \\ \frac{1}{0.0316}=\frac{1}{d_o}+\frac{1}{0.1534}\\ \\ \frac{1}{d_o}+6.5189=31.6456\\ \\ \frac{1}{d_o}=25.1267\\ \\ d_o=0.0398\text{ m}=3.98\text{ cm} \end{gathered}\)Therefore the object should be put at 3.98 cm.
a lens with f = 50.0 cm is held 55.0 cm from an object. what is the image distance? (unit = cm)
Answers
Answer: 550 cm
Explanation:
Original equation: 1/f= 1/do + 1/di.
F=50.0 cm, and do=55.0.
Since we don't have di, we'll have to subtract do to the other side, making the equation: 1/f - 1/do= 1/di.
Doing the math, 1/f - 1/do is 0.0018181818
Then to get di by itself, you multiply both sides by di. Then you divide by 0.0018181818 to get di by itself. You then get: di= 1/0.0018181818
At that point, you just divide 1 by 0.0018181818, which will give you 550 cm
There could be simpler way, but that is just what I did to get the answer. Answer was right on Acellus
Which of these is an example of projectile motion?
a
a jet lifting off a runway
b
a roller coaster going down a steep track
c
a piece of fruit falling off a tree
d
a baseball that has just been thrown
Answers
Answer:
the answer is d I'm pretty sure
A plane mirror is used to
O A. create light energy.
OB. model wave movements.
OC. separate colors of light.
OD. reflect light.
Answers
(6.MS-ETS2-1(MA).) The electrons in __________ move about more freely than the electrons in insulators which is why this type of material can be used to create electric circuits.
A) conductors
B) insulators
C) magnets
Answers
Answer:
A) conductors
Explanation:
A conductor can be defined as any material or object that allows the free flow of current or electrons (charge) in one or more directions in an electrical circuit. Some examples of a conductor are metals, tungsten, copper, aluminum, iron, graphite, etc.
Basically, the main purpose of a conductor in physics is to provide a low-resistance path between electrical circuits or components. This low-resistance path is to ensure that the electrical components allows the free flow of electrons and thus, enabling charge transfer.
Hence, the electrons in conductors move about more freely than the electrons in insulators which is why this type of material can be used to create electric circuits because it would significantly provide a low-resistance path between the electric circuits.
what is indoor noise pollution
Answers
Answer:
Domestic gadgets like the mixer-grinders, pressure cookers, desert coolers, air- conditioners, exhaust fans, vacuum cleaners, sewing and washing machines are all indoor sources of noise pollution.
Explanation:
Define invariant transformations
Answers
Answer:
For a given system, there can be particular transformations for which the explicit equations of motion are the same for both the old and new variables. Transformations for which the equations of motion are invariant, are called invariant transformations. It will be shown that if the Lagrangian does not explicitly contain a particular coordinate of displacement qi, then the corresponding conjugate momentum, pi, is conserved. This relation is called Noether’s theorem which states “For each symmetry of the Lagrangian, there is a conserved quantity".
g Initially, the motorcycle travels along a straight road with a speed of 35 m/s (this is almost 80 mph). The maximum deceleration of the motorcycle is -1.2 m/s2. If the biker is skilled and uses maximum deceleration, how long will it take them to come to a complete stop
Answers
Given:
Initial speed of the motorcycle (u) = 35 m/s
Final speed of the motorcycle (v) = 0 m/s (Complete Stop)
Maximum deceleration of the motorcycle (a) = -1.2 m/s²
Required Equation:
\( \boxed{\bf{ v = u + at}}\)
Answer:
By substituting values in the equation, we get:
\( \rm \longrightarrow 0 = 35 + ( - 1.2)t \\ \\ \rm \longrightarrow 0 = 35 - 1.2t \\ \\ \rm \longrightarrow 35 - 1.2t = 0 \\ \\ \rm \longrightarrow 35- 35 - 1.2t = 0 - 35 \\ \\ \rm \longrightarrow - 1.2t = - 35 \\ \\ \rm \longrightarrow \dfrac{ - 1.2t}{ - 1.2} = \dfrac{ - 35}{ - 1.2} \\ \\ \rm \longrightarrow t = 29.167 \: s\)
\( \therefore \) Time taken by motorcycle to come to a complete stop (t) = 29.167 s