A bucket crane consists of a uniform boom of mass
M = 201 kg and length L= 59.05 ft that pivots at a point on
the bed of a fixed truck. The truck supports an elevated bucket
with a worker inside at the other end of the boom, as shown in
the figure. The bucket and the worker together can be modeled
as a point mass of weight 201 lb located at the end point of
the boom.
Suppose that when the boom makes an angle of 68.7° with the
horizontal truck bed, the bucket crane suddenly loses power,
causing the bucket and boom to rotate freely toward the
ground. Find the magnitude of the angular acceleration la of
the system just after the crane loses power. Take the rotation
axis to be at the point where the boom pivots on the truck bed.
Use g = 9.81 m/s2 for the acceleration due to gravity. For unit
conversions, assume that 1 m = 3.28 ft and 1 lb = 4.45 N.
Express your answer to at least two decimal places.
Newton's second law for rotational motion allows finding the results for the angular acceleration of the system at the moment of losing power is:
α =0.616 rad / s²
Newton's second law for rotational motion relates the torque to the moment of inertia and the angular acceleration, in the special case where the angular acceleration is zero, it is called the rotational equilibrium condition.
[tex]\sum \tau = I \alpha[/tex]
[tex]\tau = F \ r \ sin \theta[/tex]
where τ is the torque, F is the force, r the distance to the pivot point and θ the angle between the force, the distance, I is the moment of inertia and α is the angular acceleration.
In this case they indicate the values in several different units, let's reduce to the international system of measurements (SI).
Beam mass M = 201 kg Beam length L= 59.05 ft (1m / 3.28 ft) = 18.0 m Worker and basket weight Wh = 201 lb (1N / 0.2248 lb) = 894.1 N Beam angle tea = 68.7º
We place our reference system at the base of the beam on the truck and counterclockwise turns as positive, and in the attached we see a free-body diagram of the system.
[tex]W_m \ L \ sin 68.7 + Mg \ \frac{L}{2} \ sin 68.7 = I \alpha[/tex]
The moment of inertia is an additive scalar quantity, the total moment of inertia is the moment of inertia of the pen plus the moment of inertia of the man.
Moment of inertia of the beam with respect to one end.
[tex]I_[/tex] = ⅓ ML²
moment of inertia of man
[tex]I_m = M_m L^2[/tex]
Let's substitute
[tex](W_m + \frac{Mg}{2} ) \ L \ sin 68.7 = (\frac{1}{3} M + m_m ) L^2 \alpha \\\alpha = \frac{(W_m + \frac{Mg}{2} ) sin 68.7 }{ (\frac{1}{3} M + m_m ) L }[/tex]
Let's calculate
The mass of man is
m = [tex]\frac{W_m}{g}[/tex]
m = 894.1 / 9.8
m = 91.2 kg
[tex]\alpha = \frac{(894.1 +2.1 \ 9.8 ) \ sin 68.7 }{ 18.0 ( \frac{201}{3} + 91 }[/tex]
α = 0.616 rad / s²
In conclusion using Newton's second law for rotational motion we can find the results for the angular acceleration of the system at the moment of losing power is 0.616 rad / s²
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a car is traveling with a momentum of 15,000 kgm/s. It strikes a garbage can on the curb. If the garbage can is launched off of the bumper with a momentum of 5,000 kgm/s, how much momentum does the car still have?
Answer:
c
Explanation:
it was a crash they both lost momentum
Why do you think some things float and some things sink?
A golf ball is hit with an initial velocity of 20m/s at an angle of 30° to the horizontal. calculate;
the time of flight
Answer:
tcucugxojfjgfojcigxuogoudyifodtufukdutfuocyjxuogu
What is the major difference between metallic bonding and ionic bonding?
Answer:
The key difference between ionic bonding and metallic bonding is that the ionic bonding takes place between positive and negative ions whereas the metallic bonding takes place between positive ions and electrons.
Explanation:
About (metallic bonding) → Metallic bonding is a type of chemical bonding that arises from the electrostatic attractive force between conduction electrons and positively charged metal ions.
About (ionic bonding) → Ionic bonding is a type of chemical bonding that involves the electrostatic attraction between oppositely charged ions, or between two atoms with sharply different electronegativities, and is the primary interaction occurring in ionic compounds
I hope this helps!
The ability to catch on fire or burn.
(a). flammability (B)alkali metals (c)corrosion
Answer:
a. flammability
Explanation:
it is in the name "flame"
Answer:
The ability to catch on fire or burn is (a). flammability
Explanation:Flammability is the ease with which a combustible substance can be ignited, causing fire or combustion or even an explosion.
bro someone please help me, i need to turn this in by tomorrow first class of the day. if you can answer this page for me, please answer with a short sentence or paragraph if needed. thank you and please help me.
Answer: Sorry you I don't umderstand
Explanation:
Which of the following is an example of an acceptable time to ignore the rules and etiquette of a sport?
A.
when no one else notices
B.
when nobody really gets hurt
C.
when the outcome of the game isn't affected
D.
it's never acceptable to ignore rules and etiquette
Answer:
D-it's never acceptable to ignore rules and etiquette
Explanation:
We should know that it's never acceptable to ignore rules and etiquette.
What are the rules of etiquette in sports?The rules of etiquette in sports are the rules of the sports that have been document by the various sports federations.
We should know that it's never acceptable to ignore rules and etiquette. These will make the the sports a lawless act and full of chaos.
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Help me with this please
Answer:
for the secound one i think it would be 45.87 let me know if this is wrong I love to get my feed back
Explanation:
When an object moves in a straight line, which statement is true?
A. the object moves at a constant speed, the resultant force is zero
B. the object accelerates , the resultant force is zero
C. the object moves at a constant speed, the forward force is greater than the resistive force
D. The object requires a resultant force in order to move at a constant speed
Answer:
In think the answer is a I’m not sure
Explanation:
Becuase constant speed is always zero there is no acceleration
What is Juan’s velocity between 0-5 seconds?
Juan’s velocity between 0-5 seconds would be 2 m/s, the slope of the position time graph represents the velocity of the object and between the 0-5 seconds slope of the line is 2.
What is Velocity?The total displacement covered by any object per unit of time is known as velocity. It depends on the magnitude as well as the direction of the moving object.
velocity= total displacement/Total time
As given in the problem we have to find the velocity of Juan between 0-5 seconds.
The displacement covered between 0-5 seconds is 10 meters.
the time taken to change position is 5 seconds,
the velocity of the Juan = 10/5
= 2 meters/seconds
Thus, its velocity of Juan comes out to be 2 meters/second.
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Which statement best explains how a planet affects the orbit of a comet as the comet passes by the planet?
HELP PLEASE!
A book sits motionless on a table. Which statement is true?
The downward force is greater than the upward force on the book.
There are no forces acting on the book.
The upward force is greater than the downward force on the book.
The forces acting on the book are balanced by each other.
Answer:
I think the second one! So sorry if it's wrong!
Explanation:
Because if it's sitting motionless, then nothing is happening to it.
A book sits motionless on a table so the forces acting on the book are balanced by each other.
What is force?
A force is an effect that can alter an object's motion according to physics. An object with mass can change its velocity, or accelerate, as a result of a force. An obvious way to describe force is as a push or a pull. A force is a vector quantity since it has both magnitude and direction.
A book sits motionless on a table that means forces acting on the book are balanced by each other. As book have mass so gravitational force acting in downward but opposite to that normal force because of friction is acting that stops book to be in motion.
A book sits motionless on a table so the forces acting on the book are balanced by each other.
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If you can do something fast and with strength, you have balance.
A.
True
B.
False
Answer:
false
Explanation:
3
Which finding would have disproved Virchow's hypothesis?
O Animalcules are not organisms.
O Animals are made of non-cell-based matter.
Plants are made of non-cell-based matter.
O Cells can generate from nonliving matter.
Answer:
the correct answer is cells can generate from nonliving matter
Taking care of yourself can sometimes be hard work and can even lead to feelings of
Answer:
deception
Explanation:
How much protein would be consumed with a 3-ounce serving of
this food?
A. 0g
B. 5g
C. 10g
D.15g
Please Help me
Answer:
15kg
(i actually did this)
Explanation:
k12
hope this helped!
i hope you ace it!
Answer: B) 5g
I took the 4.11 Unit Test: Nutrition quiz.
A strong magnetic field surrounds Earth. How does Earth’s magnetic field help humans?
Answer:
it deflects most of the solar wind, whose charged particles would otherwise strip away the ozone layer that protects the Earth from harmful ultraviolet radiation
A projectile is launched
horizontally from a cliff
top at 16 m/s.
Determine the values
of the velocity
components at 1-
second intervals of
time.
The vertical component of the velocity after the given time is -9.8 m/s while the horizontal component of the velocity is 16 m/s.
The given parameters;
initial horizontal velocity, vₓ = 16 m/sinitial vertical velocity, [tex]v_y =0[/tex]time interval 1 secondsThe components of the velocity can be horizontal or vertical velocity.
The vertical component of the velocity is affected by acceleration due to gravity while the horizontal component of the velocity is not affected by gravity.
The vertical component of the velocity is calculated as;
[tex]v_y = v_0_y -gt\\\\v_y = 0 - (1\times 9.8)\\\\v_y = -9.8 \ m/s[/tex]
The horizontal component of the velocity is constant since it is not affected by gravity.
The horizontal component of the velocity = 16 m/s
Thus, the vertical component of the velocity after the given time is -9.8 m/s while the horizontal component of the velocity is 16 m/s.
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Electrons are ____________ charged particles. Answer here
Answer:
negatively charged
Explanation:
Answer: electrons are negative charged
Explanation:
(03.02 LC)
Which of the following is a complementary base pair for DNA?
O Adenine and cytosine
O Guanine and cytosine
O Adenine and guanine
O Cytosine and thymine
Answer:
O Adenine and guanine
Explanation:
i think tell me if im rong
Guanine and cytosine are complementary base pairs for DNA, hence option B is correct.
What is the complementary base pairing in DNA?Adenine and thymine are joined by two hydrogen bonds, whereas guanine and cytosine are joined by three hydrogen bonds.
Base pair of DNA. The nitrogen-containing bases adenine (A), thymine (T), and cytosine (C), as well as guanine (G), the couple together under normal conditions. The structure of DNA is created by the binding of these base pairs.
In order to construct the helical structure of DNA, complementary base pairing is crucial because it enables the base pairs to be placed in the most energetically advantageous manner.
Therefore, due to the fact that it permits semiconservative replication, it is also crucial in replication.
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How mass and volume of matters are connected to density?
This is a physics question not maths
Answer:
An object's density is the ratio of mass to volume of an object. The mass is how much it resists acceleration when a force is applied to it and generally means how much of an object or substance there is. Volume describes how much space an object takes up.
What is three famous people you know
Answer:
Martin Luther King Jr., Mark Zuckerburg, Jeff Bezos
Explanation:
First 3 people to come to my head.
The mass of an object is 100mg. What is the object's mass in kg? Show your work
Answer:
0.0001 kg
Explanation:
The weight in Kilograms is equal to the milligrams divided by 1,000,000.
100 ÷ 1,000,000
If an object is falling towards the ground with a force of 98 N and accelerates at a rate of 9.8 m/s², what is the mass of the object (mass will be in the unit of kilograms)?
Answer:
960.4
Explanation:
98x9.8=960.4
In the free-body diagram, what is the net force? (Hint-Trig.- SOH-CAH-TOA)
a. 35 N right
b. 28 N right
c. 75 N
A baseball pitcher throws a fastball at a speed of 44 m/s. The acceleration occurs as the pitcher holds the ball in his hand and moves it through an almost straight-line distance of 3.5 m. Calculate the acceleration, assuming it is uniform. Compare this acceleration to the acceleration due to gravity.
v = s/t
44 m/s = 3.5 m/t
t = 3.5 m : 44 m/s
t = 0.08 s
a = v/t
a = 44 m/s/0.08 s
a = 550 m/s²
a : g = 550 m/s² : 10 m/s²
a : g = 55 : 1
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What is a common noun?
I HOPE IT WILL HELP YOU.
Thank you.
TEDDYLOVER
hi i think it 573 udaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
Answer:
ummm I didn't understand the question