Determine the components of reaction at the fixed support




a. the 400 n, 500 n, and 600 n forces are parallel to the x, y, and z axes, respectively

Answers

Answer 1

Complete Question

The complete question is shown on the first uploaded image

Answer:

The components of reaction at the fixed support are  

    [tex]A_{(x)} = 400 \ N[/tex] ,  [tex]A_{(y)} = -500 \ N[/tex] ,  [tex]A_{(z)} = 600 \ N[/tex] ,  [tex]M_x = 1225 \ N\cdot m[/tex] , [tex]M_y = 750 \ N\cdot m[/tex] ,  [tex]M_z = 0 \ N\cdot m[/tex]

Explanation:

Looking at  the diagram uploaded we see that there are two  forces acting along the x-axis on the fixed support    

   These force are  400 N  and  [tex]A_{(x)}[/tex] [ i.e the reactive force of  400 N  ]

Hence the sum of forces along the x axis is mathematically represented as

        [tex]A_{(x)} - 400 = 0[/tex]

=>     [tex]A_{(x)} = 400 \ N[/tex]

Looking at  the diagram uploaded we see that there are two  forces acting along the y-axis on the fixed support  

   These force are  500 N  and  [tex]A_{(y)}[/tex] [ i.e the force acting along the same direction with 500 N   ]

Hence the sum of forces along the x axis is mathematically represented as

        [tex]A_{(y)} + 500 = 0[/tex]

=>     [tex]A_{(y)} = -500 \ N[/tex]

Looking at  the diagram uploaded we see that there are two  forces acting along the z-axis on the fixed support  

       These force are  600 N  and  [tex]A_{(z)}[/tex] [ i.e the reactive force of  600 N  ]

Hence the sum of forces along the x axis is mathematically represented as

        [tex]A_{(z)} - 600 = 0[/tex]

=>     [tex]A_{(z)} = 600 \ N[/tex]

Generally taking moment about A along the x-axis we have that

    [tex]\sum M_x = M_x - 500 (0.75 + 0.5) + 600 ( 1 ) = 0[/tex]

=>   [tex]M_x = 1225 \ N\cdot m[/tex]

Generally taking moment about A along the y-axis we have that

    [tex]\sum M_y = M_y - 400 (0.75 ) + 600 ( 0.75 ) = 0[/tex]

=>   [tex]M_y = 750 \ N\cdot m[/tex]

Generally taking moment about A along the z-axis we have that

    [tex]\sum M_z = M_z = 0[/tex]

=>   [tex]M_z = 0 \ N\cdot m[/tex]


Related Questions


the actual frequency of the
A stationary observer is approached by a rapidly moving ambulance with the sirenon. As the ambulance approaches the observer, the apparent frequency of the sound is ______ the actual frequency of the siren
A. The same as
B. Greater than
C. Less than
D. Not related to

Answers

Answer:

ITS B need more characters so yessir

A boat with an initial speed of 5.0 m/s accelerates at a uniform rate of 1.2
m/s2 for 5.0 s. What is the final speed of the boat during this time? (P.4B)
A. 6.0 m
B. 6.2 m
C. 11 m/s
D. 26 m/s

Answers

Answer:

v = 11 m/s

Explanation:

Given tha,

Initial speed, u = 5 m/s

Acceleration, a = 1.2 m/s²

Time, t = 5 s

We need to find the final speed of the boat during this time. Let it is v. Using first equation of motion as follows :

v = u +at

Putting all the values, we get :

v = 5 + 1.2(5)

v = 11 m/s

So, the final speed of the boat is 11 m/s. Hence, the correct option is (c).

Find the acceleration produced.

Answers

Answer:

0.67m/s²

Explanation:

Given parameters:

Mass of toy  = 1.2kg

Force applied = 0.8N

Unknown:

Acceleration   = ?

Solution:

According to newton's second law of motion;

      Force  = mass x acceleration

Now,

      Acceleration = [tex]\frac{Force}{mass}[/tex]

     Acceleration  = [tex]\frac{0.8}{1.2}[/tex]   = 0.67m/s²

Answer:

Given

force = 0.8 N

mass = 1.2 kg

To find

force

Formula used

[tex] \boxed{force = m.a}[/tex]

solution

According to Newton's second law of motion

[tex] \boxed{ \bold \pink {\underline{f =m.a}}} [/tex]

where

f= force

m= mass

a= acceleration

substitute the value in the above formula

0.8 = 1.2 × accleration

accleration= 0.8/1.2

acceleration= 0.66 m/sec²

39
The Dominican Republic has 10.7 million people and a national population growth rate of 1.5 percent. Paraguay
has 6.8 million people and a national population growth rate of 1.5 percent. In how many years will each
country double in size?
47 years
37 years
27 years
57 years

Answers

Answer:

The correct answer is - 47 years.

Explanation:

The doubling time of the population growth depends on the rate of population growth. The formula for the calculation of the doubling time is :

time (t) = log(N/N0)/r (time)

here,

N0 (initial population) = The population at time t = 0.

N (future population) = The population at time t.

r (rate) = The rate of population change as a function of t

by the formula

t = log (2/1)/0.015

t =  46.666 years or 47 years approx.

The population of each country will become double in 47 years. hence option (A) is correct.

Given data:

The population of Dominican republic is, n = 10.7 million.

The growth rate of Dominican republic is, p = 1.5 %.

The population of Paraguay is, n' = 6.0 million.

The growth rate of Paraguay is, p' = 1.5 %.

The doubling time of the population growth depends on the rate of population growth. The formula for the calculation of the doubling time is given as,

[tex]t = \dfrac{ln\dfrac{n}{n_{0}}}{p}[/tex]

Here,

[tex]n[/tex] is the final population and  [tex]n_{0}[/tex] is the initial population and for doubling the value in future, [tex]n = 2 \times n_{0}[/tex].

Solving as,

[tex]t = \dfrac{ln\dfrac{2\times n_{0}}{n_{0}}}{1.5/100}\\\\t \approx 47 \;\rm years[/tex]

Thus, we can conclude the population of each country will become double in 47 years.

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If Ali travels at 80 m/s for 30 seconds, how far does he fo in meters?

Answers

Answer:

2400 meters

Explanation:

80*30=2400

Answer:

speed=80m/s

time=30s

distance=?

Now,

speed=d/t

80=d/30

d=80×30

d=2400m

Which energy conversion takes place when a solar cell is used to light a street lamp?
A. solar energy → light energy

B. solar energy → electric energy → light and heat energy

C. solar energy → light and heat energy

D. heat energy → light energy

E. heat energy → light energy → electric energy

Answers

Answer:

the answer is for the question is B

Please help!1!!1111!!1!!!

what are all 7 parts of the eye?

Answers

Answer:

The Sclera, Cornea, Iris/Pupil, Lens, Retina, Ciliary Muscle, and Optic Nerve

Diagram:

Answer:

Sclera. The sclera is the white of the eye. ...

The Cornea. The cornea is the clear bulging surface in front of the eye. ...

Anterior & Posterior Chambers. The anterior chamber is between the cornea and the iris. ...

Iris/Pupil. ...

Lens. ...

Vitreous Humor. ...

Retina.

Explanation:

Sclera. The sclera is the white of the eye. ...

The Cornea. The cornea is the clear bulging surface in front of the eye. ...

Anterior & Posterior Chambers. The anterior chamber is between the cornea and the iris. ...

Iris/Pupil. ...

Lens. ...

Vitreous Humor. ...

Retina.

Suppose that two objects attract each other with a gravitational force of 16 units. If the distance between the two objects is reduced in half, then what is the new force of attraction between the two objects?

Answers

It would be 8 units becuase half of 16 is 8


A 25 kg mass is accelerated by a force at a rate of 5 m/s2. What is the magnitude of the force that accelerates the man?

Answers

Force=mass*acceleration
F=ma
F=25*5
F=100 N

Are you gay if you are why?

Answers

Answer:

Because of the chemical makeup of my DNA

Answer:

I'm not gay, but if you play xbox you are,

Explanation:

hehehhehehehehehehhehehehehehehehehehehheheehehhehehehehehheeeeeeeee

A car starts from rest and accelerates uniformly over a time of 10.21 seconds for a distance of 210 m. Determine the acceleration of the car.

Answers

Answer:

4.03 m/s/s

Explanation:

d=1/2 a t^2

210 = 1/2 a (10.21)^2

210 = 52.1 a

a = 4.03 m/s/s

How does reducing the mass of a moving object by half (1/2) change its kinetic energy?​

Answers

Kinetic energy = 1/2 m v²
If we reduce the mass by half > m/2
Kinetic energy = 1/2 m/2 v²
We should know that 1/2 × 1/2 = 1/4
So kinetic energy will be :
1/4 × m × v²

If you drop a rock from 490 meters high, how long will it take the hit the ground? (Remember to make height negative when solving because it is falling)

A. 12.88 Seconds
B. 7.88 Seconds
C. 5 Seconds
D. 10 Seconds

Answers

Answer:

C

Explanation:

THIS IS DUE TOMORROW! WILL GIVE BRAINLIEST!!
6. How does sea-floor spreading explain why the youngest rocks are found near the mid-Atlantic ridge?​

Answers

Answer:

With distance from the ridge crest, the sediments and crust get thicker. This also supports the idea that the youngest rocks are on the ridge axis and that the rocks get older with distance away from the ridge (Figure below). Something causes the seafloor to be created at the ridge crest.

Answer: With distance from the ridge crest, the sediments and crust get thicker. This also supports the idea that the youngest rocks are on the ridge axis and that the rocks get older with distance away from the ridge (Figure below). Something causes the seafloor to be created at the ridge crest

Explanation:

New rock is formed near the mid-oceanic ridge as oceanic plates diverge or separate from each other. Hot rocks rising from the asthenosphere melt from decompression as they rise, filling the fault and forming new basaltic oceanic crust. As new crust is added, older crust is pushed away. Therefore, the further away from the mid-oceanic ridge, the older the rocks.

A repelling force occurs between two charged objects when the charges are of Equal magnitude. Equal magnitude. a Unequal magnitude.b Unequal magnitude. c Like/same signs.d Like/same signs. e Unlike signs. help plz

Answers

Answer:

c Like/same signs

Explanation:

A repelling force occurs between two or more charged objects with the charges are of like or same sign.

According to Coulombs law, like charges repel on another, unlike charges attracts on another. If a positive charge comes into the vicinity of another positive charge, there will be repulsion. When oppositely charge species are brought near each other, there is an attraction.

Therefore, repulsion occurs when like charges are brought close to each other.

An object is moving with constant speed in a circular path. The object's centripetal acceleration remains constant in


A)
magnitude, only

B)
direction, only

C)
both magnitude and direction

D)
neither magnitude nor direction

Answers

D is the answer sorry if wrong

Both magnitude and direction. Centripetal acceleration always act towards the center of the circle and have constant value.

What is centripetal acceleration?

"When a body moves in a circular path the acceleration acting towards the center of the circle is called centripetal acceleration." Hence the magnitude and direction will not change.

Know more about centripetal acceleration here

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#SPJ2

The ____ of an earthquake is a measure of its strength.
Please help!

Answers

the answer should be magnitude!

A 3 kg book is on a shelf 3 m tall. What is its potential energy?

Answers

Answer:

88.2J

Explanation:

Given parameters:

Mass of book = 3kg

Height of shelf = 3m

Unknown:

Potential energy  = ?

Solution:

The potential energy of a body is the energy due to the position of that body.

It can be mathematically calculated as;

       P.E  = mgh

m is the mass of the body

g is the acceleration due to gravity  = 9.8m/s²

h is the height

 Now insert the parameters and solve;

        P.E  = 3 x 9.8 x 3  = 88.2J

A rocket initially at rest on the ground lifts off vertically with a constant acceleration of 20m/s^2. How long will it take the rocket to reach an altitude of 16km

Answers

16 km = 1/2 (20 m/s²) t ²

t ² = (32 km) / (20 m/s²)

t ² = (32,000 m) / (20 m/s²)

t = √(1600 s²)

t = 40 s

A space station rotates, providing 1 g acceleration for its inhabitants. If it is
rotated at twice the rotational speed, what will the acceleration be for them?


NEED ASAP

Answers

Answer:

Hype

Explanation:

Yyrru

What is the biggest quad muscle

A. Vastus Intermedius
B. Vastus Lateralis
C. Rectus Femoris
D. Vastus Medialis

Answers

Answer:

b

Explanation:

Answer:

B. Vastus Lateralis

Explanation:

The vastus lateralis muscle is located on the side of the thigh. This muscle is the largest of the quadriceps group.

One end of a string is fixed. An object attached to the other end moves on a horizontal plane with uniform circular motion of radius R and frequency f. The tension in the string is Fs . If both the radius and frequency are doubled, the tension is what

Answers

Answer:

If both the radius and frequency are doubled, then the tension is increased 8 times.

Explanation:

The radial acceleration ([tex]a_{r}[/tex]), measured in meters per square second, experimented by the moving end of the string is determined by the following kinematic formula:

[tex]a_{r} = 4\pi^{2}\cdot f^{2}\cdot R[/tex] (1)

Where:

[tex]f[/tex] - Frequency, measured in hertz.

[tex]R[/tex] - Radius of rotation, measured in meters.

From Second Newton's Law, the centripetal acceleration is due to the existence of tension ([tex]T[/tex]), measured in newtons, through the string, then we derive the following model:

[tex]\Sigma F = T = m\cdot a_{r}[/tex] (2)

Where [tex]m[/tex] is the mass of the object, measured in kilograms.

By applying (1) in (2), we have the following formula:

[tex]T = 4\pi^{2}\cdot m\cdot f^{2}\cdot R[/tex] (3)

From where we conclude that tension is directly proportional to the radius and the square of frequency. Then, if radius and frequency are doubled, then the ratio between tensions is:

[tex]\frac{T_{2}}{T_{1}} = \left(\frac{f_{2}}{f_{1}} \right)^{2}\cdot \left(\frac{R_{2}}{R_{1}} \right)[/tex] (4)

[tex]\frac{T_{2}}{T_{1}} = 4\cdot 2[/tex]

[tex]\frac{T_{2}}{T_{1}} = 8[/tex]

If both the radius and frequency are doubled, then the tension is increased 8 times.

If both the radius and frequency are doubled, then the tension will be increased 8 times.

 

From kinematic formula:

[tex]\bold {a_r = 4\pi r^2 \times f^2 \times R^2}[/tex] .............................. (1)

Where:  

f - Frequency,    

R - Radius of rotation,  

From Second Newton's Law,

[tex]\bold {\sum F = T = m\times a_r }[/tex] ......................... (2)

Where

m is the mass of the object,

From equation 1 and 2,

[tex]\bold {T = m\times 4\pi r^2 \times f^2 \times R^2}\\[/tex] .................... (3)

From equation, tension is directly proportional to the radius and the square of frequency.

Then, if radius and frequency are doubled, then the ratio between tensions is:

[tex]\bold {\dfrac {T_2}{T_1} = (\dfrac {F_2}{F_1})^2 \times \dfrac {R_2}{R_1} = 4 \times 2 = 8 }[/tex]  

   

Therefore, If both the radius and frequency are doubled, then the tension will be increased 8 times.

To know more about frequency,

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Newton's first law states that objects do not change their motion unless acted upon by a net force. What does the word "net" mean in this context?
A A woven net, such as a fishing net or basketball net
B To catch or ensnare
C Remaining or left over after everything has been accounted for
D To cover, such as with mosquito netting​

Answers

Answer:

Explanation:

C Remaining or left over after everything has been accounted for.

You can have as many forces as you can define as long as there is an opposing force that cancels it out. If there is just 1 more force that cannot be cancelled, then it is a remaining force and it determines what happens to the object.

The rest have to do with something that resembles a fisherman's net.

Answer:

C

Explanation:

Only reasonable answer.

Passengers fall forward when a bus suddenly stops. Using your knowledge of Newton's First Law and Inertia, explain why this phenomenon happens.

Answers

Answer:

The people on the bus fall forward because Newton's Law of Inertia states that and object in motion with stay in motion or an object at rest will stay at rest unless acted in by another force. The force of the bus stopping suddenly caused the passengers to fall forward because they were at rest position.

Potential energy results from the ______or position of an object.

Answers

Answer:

Mass

Explanation:

A beach ball, moving with a velocity of 2 m/s, rolls off a pier and hits the water 0.5 m from the end of the pier. It strikes the water 0.25 seconds later. How high is the pier above the water? Disregard air resistance. 1.23 m 0.31 m 0.61 m 2.45 m

Answers

Answer:

0.31 m

Explanation:

The following data were obtained from the question:

Horizontal distance (s) = 0.5 m

Horizontal velocity (u) = 2 m/s

Time (t) = 0.25 s

Height (h) of the pier =.?

The height of the pier can be obtained as illustrated below:

Time (t) = 0.25 s

Acceleration due to gravity (g) = 9.8 m/s²

Height (h) of the pier =.?

h = ½gt²

h = ½ × 9.8 × 0.25²

h = 4.9 × 0.0625

h = 0.31 m

The, the height of the pier is 0.31 m

the response of an object to the gravity is called ____

Answers

Answer:

gravity interactions

A ball is moving at 4m/s and has a momentum of 40 kg m/s.What is the balls mass

Answers

Answer:

10kg

Explanation:

mass=momentum÷velocity

Is lateral shift or lateral displacement same ?

Answers

Answer:

When a ray of light passes through a glass slab of a certain thickness, the ray gets displaced or shifted from the original path. This is called lateral shift/displacement.

Explanation:

.

a car moving with a velocity of 15 m/s accelerates to a velocity of 37 m/s in 3.2 seconds. what's the car's rate of acceleration?

given:
find:
formulas:
manipulate:
substitute:
answer:

Answers

Answer:

a = 6.87 [m/s²]

Explanation:

To solve this problem we must use the following equation of kinematics.

[tex]v_{f} =v_{o} +a*t[/tex]

where:

Vf = final velocity = 37 [m/s]

Vo = initial velocity = 15 [m/s]

a = acceleration [m/s²]

t = time = 3.2 [s]

Note: The positive sign in the above equation means that the velocity is increasing, due to the acceleration.

37 = 15 + a*3.2

3.2*a = 37 - 15

a = 6.87 [m/s²]

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