1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Tanzania [10]
2 years ago
6

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° inc

line 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.
Engineering
1 answer:
balandron [24]2 years ago
7 0

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.

<h3>Minimum value of force P</h3>

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.

Learn more about Minimum value of force P here:brainly.com/question/20522149

You might be interested in
Nitrogen gas is compressed at steady state from a pressure of 14.2 psi and a temperature 60o F to a pressure of 120 psi and a te
brilliants [131]

Answer:

a) 229.4281 hp.

b) 262.15 ft3/min.

Explanation:

Given data:

P1 = 14.2 psi

T1 = 60°F = 520° R

P2 = 120 psi

T2 = 500°F = 960° R

volumetric flow rate ( Av1 ) = 1200 ft^3 /min = 20 ft^3 / sec

attached below is the detailed solution

5 0
3 years ago
Turn the motor around in the circuit. What happens?
kenny6666 [7]

Answer:

It will create a massive drag and pretty much stop the motor.

Explanation:

7 0
3 years ago
Cho biết tác dụng chung của các hệ giằng khung ngang nhà công nghiệp nhẹ 1 tầng 1 nhịp.
Dmitry_Shevchenko [17]
I don’t know how to speak the laungue or know this language
4 0
3 years ago
A piston–cylinder device contains a mixture of 0.5 kg of H2 and 1.2 kg of N2 at 100 kPa and 300 K. Heat is now transferred to th
Taya2010 [7]

Answer:

(a) The heat transferred is 2552.64 kJ    

(b) The entropy change of the mixture is 1066.0279 J/K

Explanation:

Here we have

Molar mass of H₂ = 2.01588 g/mol

Molar mass of N₂ = 28.0134 g/mol

Number of moles of H₂ = 500/2.01588  = 248 moles

Number of moles of N₂ = 1200/28.0134 = 42.8 moles

P·V = n·R·T

V₁ = n·R·T/P = 290.8×8.3145×300/100000 = 7.25 m³

Since the volume is doubled then

V₂ = 2 × 7.25 = 14.51 m³

At constant pressure, the temperature is doubled, therefore

T₂ = 600 K

If we assume constant specific heat at the average temperature, we have

Heat supplied = m₁×cp₁×dT₁ + m₂×cp₂×dT₂

 cp₁ = Specific heat of hydrogen at constant pressure = 14.50 kJ/(kg K

cp₂ = Specific heat of nitrogen at constant pressure = 1.049 kJ/(kg K

Heat supplied = 0.5×14.50×300 K+ 1.2×1.049×300 =  2552.64 kJ    

b)  \Delta S = - R(n_A \times lnx_A + n_B \times ln x_B)

Where:

x_A and x_B are the mole fractions of Hydrogen and nitrogen respectively.

Therefore, x_A = 248 /(248 + 42.8) = 0.83

x_B = 42.8/(248 + 42.8) = 0.1472

∴ \Delta S = - 8.3145(248 \times ln0.83 + 42.8 \times ln 0.1472) =  1066.0279 J/K

5 0
3 years ago
Scientific research techniques are used to analyze the effectiveness of political advertising. False True
miv72 [106K]

Answer:

correct me if i'm wrong but i think it's false

Explanation:

5 0
3 years ago
Other questions:
  • What is the damped natural frequency (in rad/s) of a second order system whose undamped natural frequency is 25 rad/s and has a
    15·1 answer
  • The function of a circuit breaker is to _____.
    12·1 answer
  • If a machine uses LESS effort to overcome a given resistance force (if Fe is less than FR), it has an actual mechanical advantag
    13·1 answer
  • Give an example of how the fields of science, technology, and mathematics are commonly used when building a highway.
    7·1 answer
  • Write the following statements as Prolog clauses, in the order given: If it is raining or snowing, then there is precipitation.
    15·1 answer
  • If a and b are both int arrays, then a b; will
    10·1 answer
  • Different metabolic control systems have different characteristic time scales for a control response to be achieved. Match the t
    6·1 answer
  • How many kg moles of Sodium Sulphate will contain 10 kg of<br> Sodium?
    10·2 answers
  • Which of the following characteristics would not give animals an advantage in the ocean?
    13·1 answer
  • An agricultural manager requires
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!