Three forces act on a flange as shown below. Determine the magnitude of the unknown force F (in lb) such that the net force acting on the flange is a minimum.

Three Forces Act On A Flange As Shown Below. Determine The Magnitude Of The Unknown Force F (in Lb) Such

Answers

Answer 1

Answer:

The unknown force will be 18.116 lb.

Explanation:

Given that,

Three forces act on a flange as shown in figure.

The net force acting on the flange is a minimum.

[tex]\dfrac{dF_{net}}{df}=0[/tex]

We need to calculate the unknown force

Using formula of net force

[tex]\vec{F_{net}}=\vec{F_{x}}+\vec{F_{y}}[/tex]

Put the value into the formula

[tex]\vec{F_{net}}=(F\cos45+70\cos30-40)\hat{i}+(70\sin30-F\sin45)\hat{j}[/tex]

[tex]\vec{F_{net}}=(F\cos45+70\times\dfrac{\sqrt{3}}{2})\hat{i}+(70\times\dfrac{1}{2}-F\sin45)\hat{j}[/tex]

The magnitude of net force,

[tex]F_{net}=\sqrt{F_{x}^2+F_{y}^2}[/tex]

[tex]F_{net}=\sqrt{(F\times\dfrac{1}{\sqrt{2}}+60.62)^2+(35-F\times\dfrac{1}{\sqrt{2}})^2}[/tex]

[tex]F_{net}=\sqrt{F^2+(60.62)^2+121.24\times\dfrac{F}{\sqrt{2}}+(35)^2-70\times\dfrac{F}{\sqrt{2}}}[/tex]

[tex]F_{net}=\sqrt{F^2+4899.78+36.232F}[/tex]

On differentiating w.r.to F

[tex](\dfrac{dF_{net}}{dF})^2=2F+36.232[/tex]

[tex]0=2F+36.232[/tex]

[tex]F=-\dfrac{36.232}{2}[/tex]

[tex]F=-18.116\ lb[/tex]

Negative sign shows the direction of force which is downward.

Hence, The unknown force will be 18.116 lb.

Answer 2

Following are the solution to the given question:

Calculating the Net force on flange:

[tex]\overrightarrow{F_{net}} = ( F \cos 45^{\circ} + 70 \cos 30^{\circ} -40 ) \hat{i}+(70 \sin 30^{\circ} - F \sin 45^{\circ} )\hat{y} \\\\ \overrightarrow{F_{net}} = ( F \cos 45^{\circ} + 20.62 ) \hat{i}+(35 -F\sin 45^{\circ})\hat{y} \\\\ [/tex]

Calculating the magnitude:

[tex]= \sqrt{f_{X}^2 +f_{y}^{2}}\\\\ = \sqt{( F \cos 45^{\circ} + 20.62 )^2+(35 -F\sin 45^{\circ})^2} \\\\ = \sqt{( F^2+20.62^2+ 35^2+ 41.24 F \cos 45^{\circ} -70 F\sin 45^{\circ})}\\\\ = \sqt{( F^2+20.33F +1650.1844)} \\\\[/tex]

Differentiate the value

[tex]\to \frac{F_{net}}{df}=0 [/tex]

[tex]\to 2F-20.33=0\\\\ \to 2F=20.33\\\\ \to F=\frac{20.33}{2}\\\\ \to F= 10.165\ lb [/tex]

Learn more:

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Three Forces Act On A Flange As Shown Below. Determine The Magnitude Of The Unknown Force F (in Lb) Such

Related Questions

A hockey player applies an average force of 80.0 N to a
0.25 kg hockey puck for 0.10 s. What is the impulse
experienced by the hockey puck ?

Answers

Answer:

[tex]Impulse = 8.0Ns[/tex]

Explanation:

Given

[tex]Force = 80.0N[/tex]

[tex]Mass = 0.25kg[/tex]

[tex]Time = 0.10s[/tex]

Required

Determine the impulse

The impulse is calculated as follows:

[tex]Impulse = Force * Time[/tex]

Substitute values for Force and Time

[tex]Impulse = 80.0N * 0.10s[/tex]

[tex]Impulse = 8.0Ns[/tex]

Hence, the impulse experienced is 8.0Ns

Estimate the volume of a typical home (2420 ft^2 in size and 10 ft tall) Answer in units of m^3​

Answers

Answer:

volume = 683.53 [tex]m^{3}[/tex]

Explanation:

From the given question,

area  = 2420 [tex]ft^{2}[/tex]

height = 10 ft = 3.048 m

But,

1 [tex]ft^{2}[/tex] = 0.092903 [tex]m^{2}[/tex]

So that,

2420 [tex]ft^{2}[/tex] = 224.8254 [tex]m^{2}[/tex]

Volume = area x distance

             = 224.8254 x 3.048

             =  683.5262

volume = 683.53 [tex]m^{3}[/tex]

What is the force of gravitational attraction between an object with a mass of 2kg and another that has a mass of 2kg and a distance between them of 2.5 m

Answers

Answer:

Explanation:

F = 0.000000000042716 or 4.2688e-11

G = 6.67 × 10−11 Nm2 /kg2

m1 = 2kg

m2 = 2kg

R = 2.5 m ⇒ R^2 = 6.25

F =  6.67 × 10^−11 ( 2 * 2) / 6.25

⇒ F = 6.67 × 10^−11 (4) / 6.25

⇒ F = 2.668e-10 / 6.25

∴ F = 4.2688e-11

The radius of a planet is three times that of Earth and its mass is nine times that of Earth. The acceleration due to gravity on this planet is _________g.

Answers

Answer:

9.836 ms^-2

Explanation:

If

r= 3re

m= 9me

But

g= Gm/r^2

G= 6.67 × 10^-11

me= 6 × 10^24 Kg

re= 6.38 × 10^6 m

g= 6.67 × 10^-11 × 9×6 × 10^24/(3 ×6.38 × 10^6)^2

g= 9.836 ms^-2

a batsman deflects a ball by an angle of 45 without changing its initial speed which is equal to 54km/h.what is the impulse imparted to the ball? mass of the ball is 0.15kg​

Answers

Answer:

the impulse imparted to the ball is 4.158 kg.m/s

Explanation:

Please find attached image for diagram.

Given;

initial speed of the ball from point A, u = 54km/h = 15 m/s

angle of deflection of the ball along BOP, θ = 45⁰/2 = 22.5⁰

mass of the ball, m = 0.15 kg

the final speed of the ball along B,  = u (in reverse direction)

The initial momentum of the ball, P₁ = mucosθ

The final momentum of the ball is P₂ in reverse direction to P₁.

the impulse imparted to the ball = change in momentum of the ball

J = ΔP = P₂ - P₁

J = mucosθ - (-mucosθ)

J = mucosθ + mucosθ

J = 2mucosθ

J = 2(0.15)15cos(22.5⁰)

J = 4.158 kg.m/s

Thus, the impulse imparted to the ball is 4.158 kg.m/s

what is letaral inversion?​

Answers

Answer:

Lateral inversion is a phenomenon in which left appears to be right and vice versa. It is due to direction that light follows when it strikes a reflecting surface, generally a mirror.

Two astronauts, A and B, both with mass of 60Kg, are moving along a straight line in the same direction in a weightless spaceship. Relative to the spaceship the speed of A is 2 m/s and that of B is 1 m/s. A is carrying a bag of mass 5 Kg with him. To avoid collision with B A throws the bag with a speed v relative to the spaceship towards B catches it. Find the minimum value of v.

Answers

Answer:

[tex]V=14m/s[/tex]

Explanation:

From the Question we are told that

Mass of A and B is 60kg

Speed of A=2m/s

Speed of B=1m/s

Mass of bag =5kg

Generally the momentum of the astronaut  A and bag is mathematically given as

  [tex]M_A=(60+5)*2[/tex]

   [tex]M_A=130kgm/s[/tex]

Generally to avoid collision the speed of astronaut be should be less than or equal to that of astronaut A with the bag

Therefore for minimum requirement speed of astronaut A should be given by astronaut B's speed which is equal to 1

Therefore

  [tex]130=(60*1)=(5*v)[/tex]

   [tex]V=14m/s[/tex]

To avoid collision with B, A throws the bag with a speed of 26 m/sec.

Given-

The mass of the two astronauts A and B is 60 kg.

The mass of astronaut A is 65 kg with the box.

The speed of astronaut A is 2 m/sec.

The speed of astronaut B is 1 m/sec.

The mass of the bag is 5 kg.

The momentum of a body is the product of its mass and velocity. Thus the momentum of astronaut A is,

[tex]M_{A} =m_{a} \times v_{a}[/tex]

[tex]M_{A} =(60+5)\times2[/tex]

[tex]M_{A} =130[/tex]

To avoid the collision with B, A throws the bag with a speed v. For this the momentum after the trough must be equal to the momentum of A. Therefore,

[tex]M_{A} =5\times v_{r}[/tex]

[tex]130 =5\times v_{r}[/tex]

[tex]v_{r}= \dfrac{130}{5}[/tex]

[tex]v_{r}=26[/tex]

Hence, to avoid collision with B, A throws the bag with a speed of 26 m/sec.

For more about the velocity, find the link below-

https://brainly.com/question/862972

Assume that John Travoltage and the carpet are neutral to start. After he rubbed his foot on the carpet on took negatives, what charge is on the carpet and why

Answers

Answer:

Same charge, positive.

Please see below as the answer is self-explanatory.

Explanation:

Due to the principle of conservation of the charge, if both the man and the carpet were neutral to start, any negative charge transferred to the man by the carpet, must have its positive counterpart on the carpet, so the system man + carpet can keep neutral as required by this principle, due charge can't neither created nor destroyed.

A coil with 25 turns of wire is moving in a uniform magnetic field of 1.5 T. The magnetic field is perpendicular to the plane of the coil. The coil has a crosssectional area of 0.80 m2
. The coil exits the field in 1.0 s.
Find the induced emf.

Answers

Given that,

Number of turns, N = 25

Magnetic field, B = 1.5 T

The coil has a crosssectional area of 0.80 m2

The coil exits the field in 1.0 s.

To find,

Induced emf in the coil.

Solution,

The induced emf in the coil is given by :

[tex]\epsilon=\dfrac{-d\phi}{dt}\\\\=\dfrac{dB}{dt}\\\\=\dfrac{NBA}{t}\\\\=\dfrac{25\times 1.5\times 0.8}{1}\\\\=30\ V[/tex]

So, the induced emf in the coil is 30 V.

why can the atmosphere hold on to heat

Answers

Answer:

A. Air

Explanation:

the total positive charge is QQQ = 1.62×10−6 CC , what is the magnitude of the electric field caused by this charge at point P, a distance ddd = 1.53 mm from the charge

Answers

Answer:

6.1 × 10^9 Nm-1

Explanation:

The electric field is given by

E= Kq/d^2

Where;

K= Coulombs constant = 9.0 × 10^9 C

q = magnitude of charge = 1.62×10−6 C

d = distance of separation = 1.53 mm = 1.55 × 10^-3 m

E= 9.0 × 10^9 × 1.62×10−6/(1.55 × 10^-3 )^2

E= 14.58 × 10^3/2.4 × 10^-6

E= 6.1 × 10^9 Nm-1

A toy car attached to a rope is traveling around in a circle. It makes 4 laps in 12s.What is the angular velocity of the toy car?

Answers

Answer:

2.09 rad/s

Explanation:

Given that,

A toy car makes 4 laps in 12 s.

We need to find the angular velocity of the toy car. We need to find the angular velocity of the toy car.

4 laps = 25.13 rad

So,

[tex]v=\dfrac{25.13\ rad}{12\ s}\\\\v=2.09\ rad/s[/tex]

So, the angular velocity of the toy car is 2.09 rad/s.

A car has a mass of 1,000 kilograms. The weight of the car is
newtons. Use g = 9.8 N/kg for gravity.

Answers

Answer : The weight of the car is 9800 N

Explanation :

It is given that,

The mass of the car, m = 1000 kg

We have to find the weight of the car. The weight of an object is defined as the force acting on it under the action of gravity. The mass of an object is the amount of matter present in it.

Using second law of motion :

W = m g

Where

m is the mass of the car

g is the acceleration due to gravity g = 9.8 N/kg

W = 1000 kg × 9.8 N/kg

W = 9800 N

So, the weight of the car is 9800 N.

Hence, this is the required solution.

Answer: The weight of the car in newtons is 9800N/kg

Explanation:

At a depth of 1030 m in Lake Baikal (a fresh water lake in Siberia), the pressure has increased by 100 atmospheres (to about 107 N/m2). By what volume has 1.0 m3 of water from the surface of the lake been compressed if it is forced down to this depth

Answers

Answer:

the volume that has 1.0m^2 of water from the surface of the lake is 4.3

Explanation:

The computation of the volume is as follows;

The Bulk modulus is

= K = 2.3 × 10^9 Pa

K = - V dP ÷ dV

dV = - V dP ÷ K

dV = - (1 × 101.3 × 1000) ÷  2.3 × 10^9

= - 4.3 × 10^-3 m^3

So the volume that has 1.0m^2 of water from the surface of the lake is 4.3

Hence the same is relevant and considered

Which three statements about electrical circuits are true?

A.
They provide a way of transferring electrical energy.
B.
They cause electrons to flow downhill.
C.
When closed, they allow electrons to flow in a loop.
D.
They allow electrons to flow toward a positively charged area.

Answers

Answer:

A.

Explanation:

4. Mr. Ames is dragging a box full of books from his office to his car. The box and books together have a

combined weight of 134 N. If the coefficient of static friction between the pavement and the box is 0.55, low hard

must Mr. Ames push horizontally on the box in order to start it moving?[74N]

Answers

Answer:

F =  73.7 N = 74 N (rounding off)

Explanation:

In order to get the box to start moving, Mr. Ames must push it with a force equal to the frictional force acting on it. Therefore, this force can be calculated through the following formula:

[tex]F = frictional force = \mu R[/tex]

where,

μ = coefficient of friction = 0.55

R = Normal Force on Box = Weight of Box with books = 134 N

Therefore,

[tex]F = (0.55)(134\ N)\\[/tex]

F =  73.7 N = 74 N (rounding off)

Which of the following remains constant during the motion of a projectile fired from a planet?

A. Momentum

B. Kinetic energy

C. Horizontal component of velocity

D. Vertical component of velocity​

Answers

Answer:

C. Horizontal component of velocity

Explanation:

Object in motion stays in motion,

nothing works against its motion in the horizontal direction, unlike in the vertical direction, gravity pulls object down.

Find the inequality represented in the graph

Answers

Answer:

8

10th classpepar2021

Answer:

y ≤ 1x-1

Explanation:

line is not dotted = ___ than or equal to

shaded area below line = less than

so: ≤

--

y=mx+b

y intercept -1 (line intersects y line on -1)

y=mx-1

points (1,0) (0, -1)

find slope

---

in conclusion, y ≤ 1x - 1

hope this helped ya :-)

what heavy element was the chernobyl nuclear accelarators supposed to make?​

Answers

Answer

plutonium

Explanation:

brainliest please

A parallel-plate capacitor is made from two aluminum-foil sheets, each 3.0 cm wide and 5.00 m long. Between the sheets is a mica strip of the same width and length that is 0.0225 mm thick. What is the maximum charge?

Answers

This question is incomplete, the complete question is;

A parallel-plate capacitor is made from two aluminum-foil sheets, each 3.0 cm wide and 5.00 m long. Between the sheets is a mica strip of the same width and length that is 0.0225 mm thick. What is the maximum charge?

(The dielectric constant of mica is 5.4, and its dielectric strength is 1.00×10⁸ V/m)

Answer: the maximum charge q is 716.85 μF

Explanation:

Given data;

with = 3.0 cm = 0.03

breathe = 5.0 m

Area = 0.03 × 5 = 0.15 m²

dielectric strength E = 1.00 × 10⁸

∈₀ = 8.85 × 10⁻¹²

constant K = 5.4

maximum charge = ?

the capacitor C = KA∈₀ / d

q = cv so c = q/v

now

q/v = KA∈₀ / d

q =  vKA∈₀/d = EKA∈₀

we substitute

q = (1.00 × 10⁸) × 5.4 × 0.15 ×  8.85 × 10⁻¹²    

q = 716.85 × 10⁻⁶ F

q = 716.85 μF

the maximum charge q is 716.85 μF

whats 100+50+89+2000☹️

Answers

Answer:

2239

Explanation: Stack addition

Answer: 2,239

Explanation: do 2OOO + 1OO + 5O + 89, that will give you 2,239.

An electron remains suspended between the surface of the Earth (assumed neutral) and a fixed positive point charge, at a distance of 5.3 m from the point charge. Determine the charge required for this to happen.

Answers

This question is not complete, the complete question is;

An electron remains suspended between the surface of the Earth (assumed neutral) and a fixed positive point charge, at a distance of 5.3 m from the point charge. Determine the charge required for this to happen.  The acceleration due to gravity is 9.8 m/s² and the Coulomb constant is 8.98755 x 10⁹ N.m²/C².  Answer in units of C.

Answer: the charge required for this to happen is 1.7415 × 10¹⁹ C

Explanation:

Given the data in the question;

we know that gravitational force on electro = M×g

mass of electron m = 9.10938356 × 10⁻³¹ kilograms

charge of electron e = 1.60217662 × 10⁻¹⁹ coulombs

given that distance r = 5.3m and the Coulomb constant = 8.98755 x 10⁹ N.m²/C²

g = 9.8 m/s²

Now for the electron to be suspended, This will happen only if the electrostatic force is equal to weight of electron;

[ (1/4πε0) × q × e] / r²   =   m × g

so we substitute

8.98755 x 10⁹ × q × 1.60217662 × 10⁻¹⁹/[5.3]² = 9.10938356 × 10⁻³¹ × 9.8

q =  8.9271 × 10⁻³⁰ / 5.1262 × 10⁻¹¹

q = 1.7415 × 10¹⁹ C

Therefore the charge required for this to happen is 1.7415 × 10¹⁹ C

[1.43996 × 10⁹ × q] / 29.09 =  8.92719 x 10⁻³⁰

1.43996 × 10⁹ × q  = 2.5969 × 10⁻²⁶

q = 2.5969 × 10⁻²⁶ / 1.43996 × 10⁹

q =  

What causes the different colors of visible light in the electromagnetic spectrum?

Answers

Answer:

The color of the light is determined by the frequency of the light wave. Red, is lowest, frequency and violet is the highest.

The wavelengths of visible light split into the rainbow's hues as it passes through a prism because each color has a unique wavelength.

What is the electromagnetic spectrum?

The range of all EM radiation types is known as the electromagnetic (EM) spectrum. The light source from a bulb in your home and electromagnetic frequency from a radio station are two examples of electromagnetic radiation. Radiation refers to the energy that moves and disperses as it does.

The wavelength of visible light affects its color. These lengths span the spectrum, from 700 nm at the red end to 400 nm at the violet. The only electromagnetic fields that we can perceive are visible light waves. These waves represent the rainbow's colors to us.

The wavelengths divide into the rainbow's hues as the whole visible light spectrum passes through a prism because each color has a unique wavelength.

More about the electromagnetic spectrum link is given below.

https://brainly.com/question/23727978

#SPJ6

No work is done by an object at rest because.
1) no force is acting on the object.
2) no distance is moved.
3) heat is not produced.
4) friction is acting on the object ​

Answers

Answer:

no distance is moved as w=f×d

2)To reach an absolute pressure of 3atm, you must dive down (in water) to depth of approximately 20m.Why might someone think that the answer was 30m

Answers

Answer:

Someone might think the answer is 30 m when the person cannot distinguish between absolute pressure and gauge pressure.

Explanation:

Given absolute pressure at a depth of 20 m = 3 atm.

When you drive down 30 m in water, the gauge pressure experienced is calculated as;

P = ρgh

Where;

ρ is density of water = 1000 kg/m³

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

h is the depth of water = 30 m

P = (1000)(9.8)(30)

P = 294000 Pa

in atm = [tex]\frac{294000}{101325} = 2.9 \ atm[/tex] ≅ 3 atm.

Thus, someone might think the answer is 30 m when the person cannot distinguish between absolute pressure and gauge pressure.

Someone  might think the height (depth) is 30 meters, if he or she is unable to distinguish between gauge pressure and absolute pressure.

Given the following data:

Atmospheric pressure A = 3 atm.Height (depth) A = 20 meters.Height (depth) B = 30 meters.

Scientific data:

Acceleration due to gravity = 9.8 [tex]m/s^2[/tex]Density of water = 1000 [tex]kg/m^3[/tex]

To calculate the gauge pressure at a depth below the surface of a water:

Mathematically, gauge pressure is given by this formula:

[tex]P = \rho gh[/tex]

Where:

g is the acceleration due to gravity.h is the height (depth) of water.

Substituting the given parameters into the formula, we have;

[tex]P = 1000 \times 9.8 \times 30[/tex]

Gauge pressure = 294000 Pa

Next, we would convert the value in Pascals to atmosphere.

Conversion:

1 atm = 101325 Pa

X atm = 294000 Pa

Cross-multiplying, we have:

[tex]X = \frac{294000}{101325}[/tex]

X = 2.90 ≈ 3.0 atm.

Read more on absolute pressure here: https://brainly.com/question/10013312

The current shape of the solar system is *
1. A spiral or flat swirling disk with the Sun in the center
2. A spherical, with the objects in the solar system orbiting the sun in all directions
3, There is not logical order or shape in our solar system
4. A flat swirling disk with the Earth in the center

Answers

B: A spherical, with the objects in the solar system orbiting the suns in all directions

which quantity is a vector quantity?

Answers

a) AccelerationHOPE IT HELPS !!!!

a device that consist audio information in electrical signal is​

Answers

Answer:

Electromechanical transducer,

Explanation:

this is the answer I hope u got it

Answer:

yes it is a correct answer

Help please
Stress is a ______________ that's created when we react to particular events.



Flag this Question
Question 2 5 pts


What signals the adrenal glands to produce more of the hormones adrenaline and cortisol and release them into the bloodstream?

Group of answer choices

hyperextension

hypothalamus

hypodermis

Flag this Question
Question 3 5 pts


When the adrenal glands produce more of the hormones adrenaline what are two of the body’s reaction to these additional hormones:



Group of answer choices

heart rate slows down and pupils constrict

blood pressure and metabolism decrease

heart rate speeds up and sweat is produced

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Question 4 5 pts
Match the following terms with their appropriate definitions.
Group of answer choices
the stress response

the events that provoke stress


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Question 5 5 pts
The article talks about building up your resilience to cope with stress. What does resilience mean?



Group of answer choices

the capacity to recover quickly from difficulties

incapable of change

not good in stressful situations

Flag this Question
Question 6 5 pts
What are two ways that you can control stress?
Group of answer choices

compulsiveness and pesim

Answers

Answer:

This doesn't seem to really be a physics problem:

In physics stress is usually defined as Young's Modulus or Bulk Modulus

In the case of Young's Modulus Y would be defined as

Y = Stress / Strain or  Force / Area

So the stress would be the force acting on some particular area: in the case of a wire the area is merely the area of the wire where the force is applied.

So maybe, they mean that stress would be an increase in blood pressure or some other physiological reaction due  to an externally applied force.

Which best describes pitch?

A) the amount of time taken for a longitudinal wave to produce one cycle
B) the number of cycles per second perceived by the human ear
C) the amplitude of a wave when the natural frequency is matched
D) the distance between two corresponding parts of a transverse wave

Answers

Answer:

B) the number of cycles per second perceived by the human ear

Explanation:

The best expression that describes pitch is that it is the number of cycles per second perceived by the human ear.

For a wave train, the number of cycles per second is frequency. Whereas the period is the amount of time taken for a longitudinal wave to produce one cycle.

The distance between two corresponding parts of a transverse wave is its wavelength.

A high pitch will correspond to a high frequency of waves perceived. A low pitch corresponds to a low frequency of waves.
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