The coefficient of static friction for both wedge surfaces is μw=0.4 and that between the 27-kg concrete block and the β=20° incline is μg=0.7.

If the wedge has an angle of 5° determine the minimum value of the force P2, parallel to the fixed surface on the left, required to begin moving the block up the incline.

Answers

Answer 1

Assuming  the wedge has an angle of 5°.The minimum value of the force P that is required to begin moving the block up the incline is: 322.84 N.

Minimum value of force P

First step

Using this formula to find the weight of the block

W=mg

W=27×9.81

W=264.87 N

Second step

Angles of friction ∅A and ∅B

∅A=tan^-1(μA)

∅A=tan^-1(0.70)

∅A=34.99°

∅B=tan^-1(μB)

∅B=tan^-1(0.40)

∅B=21.80°

Third step

Equate the sum of forces in m-direction to 0 in order to find the reaction force at B.

∑fm=0

W sin (∅A+20°)  + RB cos (∅B+∅A)=0

264.87 sin(34.99°+20°) + RB cos (21.80°+34.99°)=0

216.94+0.5477Rb=0

RB=216.94/0.5477

RB=396.09 N

Fourth step

Equate the sum of forces in x-direction to 0 in order to find force Rc.

∑fx=0

RB cos (∅B) - RC cos (∅B+ 5°)=0

396.09 cos(21.80°) - RC cos (21.80°+5°)=0

RC=396.09 cos(21.80°)/cos(26.80°)

RC=412.02 N

Last step

Equate the sum of forces in y-direction to 0 in order to find force P required to move the block up the incline.

∑fy=0

RB sin (∅B) + RC sin (∅B)-P=0

P=Rb sin (∅B) + RC sin (5°+∅B)

P=396.09 sin(21.80°) +412.02sin (5°+21.80°)

P=322.84 N

Inconclusion the minimum value of the force P that is required to begin moving the block up the incline is: 322.84 N.

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Related Questions

A gaseous mixture contain 32.9 mol % He, 40.7 mol % N_{2} and 26.4 mol % Ar. Determine the composition of this mixture on a mass basis based on the molecular weight given: MW(He) = 4.003 , MW (N_{2}) = 28.02 MW(Ar) = 39.95​

Answers

The composition of the mixture on a mass basis are as follows:

He = 131.70 gN2 = 1140.41 gAr = 1054.68 g

number of moles = mass of substnce / molar mass

molar mass and molecular weight has equal numerical values therefore

Number of moles = mass of substnce / molecular weight

mass of substance = number of moles * molecular weight

the moles are expressed in percentage hence the total moles should be 100

check: 32.9 + 40.7 + 26.4 = 100

He

mass of substance = 32.9 * 4.003 = 131.6987 g

[tex]N_{2}[/tex]

mass of substance = 40.7 * 28.02 = 1140.414 g

Ar

mass of substance = 26.4 * 39.95 = 1054.68 g


Where's an inductor most likely to be found in a power-supply circuit?

Answers

The main use for inductors as energy storage is in switch-mode power supplies, like the power supply in a PC. In the simpler, non-isolated switch-mode power supplies, a single inductor is used in place of a transformer and an energy storage component.


Where do you look
for leaks coming from
the differential of a car?

Answers

Answer:

the side of the cover and draining along the bottom.Apr 1, 2021

Explanation:

i talking turtle with a key on its back told me

Which of the following materials are examples of ceramics?

A
fiberglass, carbon fiber, and Kevlar

B
cedar, mahogany, and bamboo

C
brick, glass, and porcelain

D
nylon, leather, and asbestos

Answers

Answer:

c

Explanation:

A are types of fiberous materials

B is woods

c ceramics

D unrelated materials

Assume you have four fins, each with a mass of 8. 0 grams. What is the total weight of these four fins? (Hint: watch your units!) PLEASE HELP ASAP! I have a 0% in this class

Answers

Answer:

0.314 kg

Explanation:

[tex]\frac{8}{1000}[/tex] x 4 x 9.81

Answer:

.3139  joules

Explanation:

Weight in the metric system is   ma

 you have 4 fins that have MASS of 8 grams each

    or   32 grams   which is .032 kg

WEIGHT  would be   .032 kg * 9.81 m/s^2 = .31392 j

There are withdrawn 100 ft3
of air measured at 30 psia and 90°F from a 50 ft3
tank containing air
initially at 100 psia and 140°F. What is the pressure of the air remaining in the tank if its
temperature is 130 °F?

Answers

Answer:

2+2g

what time is good afternoon my

A capacitor is connected across an ac source. suppose the frequency of the source is doubled. what happens to the capacitive reactance of the capacitor?.

Answers

Answer:

Explanation:

The capacitive reactance of the capacitor is determined by [tex]X_{C}=\frac{1}{\omega C}[/tex]

When [tex]f'=2f \rightarrow \omega' =2\omega[/tex]

and [tex]X_{C}'=\frac{1}{2}X_{C}[/tex]

(The capacitive reactance will be reduced into 1/2 times of the previous capacitive reactance)

Briefly explain the four (4) main classification of rural latrine in Ghana and give example each.​

Answers

Answer:

Temporally pit latrine ,improved latrine,ordinary latrine

Explanation:

l think the temporally latrine are used for camp ,vacation. improved latrine are at home for those who can afford. an ordinary latrine is used by people who can not afford money for removing fieces in the improved or temporally latrine

the engine needs a free flow of clean air to operate correctly and with low emissions. True or False

Answers

Answer:

true

Explanation:

Design an algorithm for computing √n

for any positive integer n. Besides
assignment and comparison, your algorithm may only use the four basic
arithmetical operations.

Answers

Positive integer n design an algorithm

Please help me with this question

Answers

Answer:

  4.2

Explanation:

The "allowance" is the difference between the maximum shaft size and the minimum hole size.

maximum shaft = C +D = 8.5 +0.1 = 8.6

minimum hole = A -B = 4.8 -0.4 = 4.4

Allowance = 8.6 -4.4 = 4.2

__

For an interference fit, the allowance is negative.

A(n) ______ is used to measure fluid flow in engineering

Answers

Answer:

A pitot tube is used to measure fluid flow in engineering

An electrochemical cell is composed of pure copper and pure cadmium electrodes immersed in solutions of their respective divalent ions. For a 6.5 × 10-2 M concentration of Cd2+, the cadmium electrode is oxidized, yielding a cell potential of 0.775 V. Calculate the concentration of Cu2+ ions if the temperature is 25°C.

Answers

From the calcuation, the concentration of the copper II ion is 0.98 M.

What is an electrochemical cell?

An electrochemical cell is one in which current is produced by means of a chemical reaction. In this cell, the cell reaction is;

Cd(s) + Cu^2+(aq) ----> Cd^2+(aq) + Cu(s)

E°cell = 0.34 V - (-0.40V) = 0.74 V

Using the Nernst equation;

0.775= 0.74 - 0.0592/2 log(6.5 × 10-2)/[Cu^2+]

0.775 - 0.74 =  - 0.0592/2 log(6.5 × 10-2)/[Cu^2+]

0.035 = -0.0296 log(6.5 × 10-2)/[Cu^2+]

0.035 /-0.0296 = log(6.5 × 10-2)/[Cu^2+]

-1.18 =  log(6.5 × 10-2)/[Cu^2+]

Antilog (-1.18) = (6.5 × 10-2)/[Cu^2+]

0.066= (6.5 × 10-2)/[Cu^2+]

[Cu^2+] =  (6.5 × 10-2)/0.066

[Cu^2+] =0.98 M

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What does hydraulic force provide in a braking system?
Power
Heat dissipation
Contact surface
Pressure

Answers

Answer:

4 or D pressure

Explanation:

A hydraulic braking system transmits brake-pedal force to the wheel brakes through pressurized fluid, converting the fluid pressure into useful work of braking at the wheels.

Answer:

pressure is the correct answer...

Explanation:

mark me brainliest

5. Tech A says that shock absorbers can be tested with a "bounce test." Tech says than
is industry standard to replace an individual faulty shock absorber. Who is correct?
d. Tech A
b. Tech 8
8. Both A and B
d. Neither Anor B

Answers

Answer:

I know A is correct but not so sure about B, like I don't know if B is correct or wrong

Describe why the motion of a follower acted on by a cam is periodic motion.

Answers

When you go and use a periodic motion there a reason

How many design did it take to make the eiffel tower?

Answers

Answer:

search is up

Explanation:

hope this helps!

Why are specimens usually very thin slices of material.

Answers

Because of the thinness, light can flow through, making the specimen visible.

How deep is a 6ft hole?​

Answers

Answer:

I know this sounds quite deep but it is as deep as a grave

Explanation:

It's reality

Answer:

6ft or 72 inches

Explanation:

The hole is most likely 6ft or also known as 72 inches.

Hope this helps :-)

Have a great rest of your day or night!

<3 simplysun

explain the S.A. co-ordinate system used in surveying

Answers

Answer:

A coordinate system is a method for identifying the location of a point on the earth. Most coordinate systems use two numbers, a coordinate, to identify the location of a point. Each of these numbers indicates the distance between the point and some fixed reference point, called the origin

How can the use of local materials improve the standard of living of Filipinos?

Answers

Choose a quality one, and don't use it as necessary

A liquid jet vj of diameter dj strikes a fixed cone and deflects back as a conical sheet at the same velocity. find the cone angle θ for which the restraining force f = (3/2)rhoajvj^2 .

Answers

Answer:

lol i cant real it sorry

Explanation:

marks)
Question 2
Distinguish between the following pairs of terms:
i. Quadrant bearing and Azimuth
5
ii. Constant error and Human error
5
iii. Referencing and Detailing
E
iv.
Accuracy and Precision
V. Bar scale and Representative fraction scale

Answers

Answer:

referencing and detailing


all of the following are ways to avoid breaking a bolt when removing it except:
select one:

a. using penetrating oil with bolts that are rusted or corroded in place.
b. applying maximum force in both directions.
c. first checking whether it is a left-hand bolt.
d. as a last resort, you may heat up the bolt that is rusted or corroded in place.

Answers

All of these are good ideas to remove a bolt, except for applying the maximum force in both directions.

What is a bolt?

It is a metallic long bar that is used in multiple objects and machines to fasten two or more elements together.

How to remove a bolt?

Bolts are removed using tools such as a 6-point wrench and applying force either to the left or right depending on the bolt. Moreover, rusted bolts need to be carefully removed to avoid breaking them down.

In this way, techniques such as using oil, checking if it is a left-hand bolt, and heating the bolt are valid. However, it is not a good idea just apply maximum force in any direction because this is likely to break the bolt.

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An amount P is deposited now so that an equal annual amount of A1=2000 per year for the first 5 years, starting 1year after the deposit. And a different annual withdrawal of A2= 3000 per year for the following 3 years. Draw the cash flow diagram if i=8.5% per year.

Answers

Based on the amounts to be withdrawn over the years and the interest rate, the amount deposited now is $12,977.

How much is deposited now?

This can be found as:
= (2,000 x Present value of annuity interest factor, 8.5%, 5 years) + (3,000 x Present value of annuity interest factor, 8.5%, 8 years) - (P/A, 8.5%,  5 years)

= (2,000 x 3.9406) + (3,000 x (5.6392 - 3.94064))

= $12,977

The cashflow diagram is attached.

Find out more on cashflow diagrams at https://brainly.com/question/23841852.

How Monopolies and Collusions Affect the Economy
Describe the concepts of monopoly and collusion in a market economy. Give five examples of monopolies and collusion among sellers and their effects on the market economy.

Answers

Answer:

Image result for How Monopolies and Collusion Affect the Economy Describe the concepts of monopoly and collusion in a market economy. Give five examples of monopolies and collusion among sellers and their effects on the market economy.

Collusion can lead to: High prices for consumers. This leads to a decline in consumer surplus and allocative inefficiency (Price pushed up above marginal cost) New firms can be discouraged from entering the market by types of collusion which act as a barrier to entry.

Explanation:

i hope this helped

Find the magnitude of the two pulling forces P and Q when their resultant is 50 N at 20° with Q. P 20°​

Answers

Two forces P and Q whose resultant is 10Newton are at right angles to each other. If P makes 30 degrees with resultant.Show me the workings of the magnitude of Q in Newton and the diagram of the vectors.

Which regulations are related to guard rail height and dimensions and uniformity of stairs?
a.
life safety
b.
fire safety
c.
structural safety
d.
health and welfare

Answers

Answer:

your answer should be C

Explanation:

bc I had the test

An iron–constantan thermocouple is to be used to measure temperatures between 0 and 400°C. What will be the non-linearity error as a percentage of the full-scale reading at 100°C if a linear relationship is assumed between e.m.f. and temperature? e.m.f. at 100°C = 5.268 mV, e.m.f. at 400°C = 21.846 mV

Answers

Answer:

  -0.89%

Explanation:

Assuming a proportional relationship between EMF and Celsius temperature, the measured value of EMF at 100 °C will be interpreted as a temperature of ...

  T/5.268 = 400/21.846

  T = 5.268(400/21.846) ≈ 96.457 . . . . °C

The error as a fraction of full scale is ...

  (96.457 -100)/400 × 100% ≈ -0.886%

The error at 100 °C is about -0.89% of full scale.

What are employers required to do to keep employees safe from caught-in and -between hazards from hand-held power tools?

Answers

Answer:

Employees who use hand and power tools and who are exposed to the hazards of falling, flying, abrasive and splashing objects, or exposed to harmful dusts, fumes, mists, vapors, or gases must be provided with the appropriate equipment needed, including Personal Protective Equipment, to protect them from the hazard.

Explanation:

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