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
DerKrebs [107]
3 years ago
14

The uniform 10 kg ladder rests against the smooth wall at B and the end A rests on the rough horizontal plane for which the coef

ficient of static friction is µs = 0.3. Determine the angle of inclination θ of the ladder and the normal reaction at B if the ladder is on the verge of slipping.
Mathematics
1 answer:
777dan777 [17]3 years ago
4 0

Answer:

Angle of inclination = 16.7°; normal reaction = 93.96N

Step-by-step explanation:

Frictional force is known as force of opposition that tends to oppose the motion of a body (moving force Fm) placed on a rough surface. Frictional force Ff is expressed as;

Ff = nR where;

n is the coefficient of static friction

R is the normal reaction

From the formula;

n = Ff/R

Where Ff = Fm = Weight of the object × sinθ i.e Wsinθ

and R = Wcosθ

n = wsinθ/wcosθ

n = sinθ/cosθ

n = tanθ

Given µs = 0.3

0.3 = tanθ

θ = arctan0.3

θ = 16.7°

Angle of inclination is 16.7°

The normal reaction at B if the ladder is on the verge of slipping can be gotten using the expression;

R = wcosθ

R = mgcosθ where

m is the mass of the ladder = 10kg

g is the acceleration due to gravity = 9.81m/s

R = 10×9.81×cos16.7°

R = 93.96N

You might be interested in
Help me someone please ASAP
laiz [17]

Answer:

see below

Step-by-step explanation:

1a) -5(1) + 11  = 6

1b) -5(-3) + 11 = 26

1c) -5(0) + 11 = 11

1d) -5(1.2) + 11 = 5

1e) f of x equals negative 5x plus eleven

8 0
3 years ago
Four cards are dealt from a standard fifty-two-card poker deck. What is the probability that all four are aces given that at lea
elena-s [515]

Answer:

The probability is 0.0052

Step-by-step explanation:

Let's call A the event that the four cards are aces, B the event that at least three are aces. So, the probability P(A/B) that all four are aces given that at least three are aces is calculated as:

P(A/B) =  P(A∩B)/P(B)

The probability P(B) that at least three are aces is the sum of the following probabilities:

  • The four card are aces: This is one hand from the 270,725 differents sets of four cards, so the probability is 1/270,725
  • There are exactly 3 aces: we need to calculated how many hands have exactly 3 aces, so we are going to calculate de number of combinations or ways in which we can select k elements from a group of n elements. This can be calculated as:

nCk=\frac{n!}{k!(n-k)!}

So, the number of ways to select exactly 3 aces is:

4C3*48C1=\frac{4!}{3!(4-3)!}*\frac{48!}{1!(48-1)!}=192

Because we are going to select 3 aces from the 4 in the poker deck and we are going to select 1 card from the 48 that aren't aces. So the probability in this case is 192/270,725

Then, the probability P(B) that at least three are aces is:

P(B)=\frac{1}{270,725} +\frac{192}{270,725} =\frac{193}{270,725}

On the other hand the probability P(A∩B) that the four cards are aces and at least three are aces is equal to the probability that the four card are aces, so:

P(A∩B) = 1/270,725

Finally, the probability P(A/B) that all four are aces given that at least three are aces is:

P=\frac{1/270,725}{193/270,725} =\frac{1}{193}=0.0052

5 0
3 years ago
Two triangular roofs are similar. The ratio of the corresponding sides of these roofs is 2:3. If the altitude of the smaller roo
schepotkina [342]

Answer:  6.75 feet

Step-by-step explanation:

Since, the ratio of the side of the similar triangle = 2 : 3

Thus, by the property of similar triangle,

The ratio of the altitudes of the triangle = 2 : 3

Let the altitude of smaller triangle = 2 x

And, the altitude of larger triangle = 3 x

Where x is any number.

According to the question,

2 x = 4.5

x = 2.25

Therefore, the altitude of larger triangle = 3 × 2.25 = 6.75 feet

5 0
3 years ago
3 - what = 11<br><br> please help with this one
SOVA2 [1]
So we can set up a simple equation for this, where the word “what” is a variable, x. This equation is 3 - x=11. Then we subtract 3 from both sides, giving us -x=8. We can divide both sides by -1, giving us x=-8. The answer would be -8. Hope this helped.
3 0
2 years ago
How many pickle servings can be made from a jar of 15 pickles
Rom4ik [11]
Answer :

15 ( theres 15 pickles so you can serve a pickle 15 times )
6 0
3 years ago
Other questions:
  • The compiled enrolled in the three grades at Willmar middle is 977. There are 356 students in the seventh grade and 365 in the e
    9·1 answer
  • Solve for x please need help need answer ASAP
    9·1 answer
  • Please need help to answer the question in 5 minutes?
    5·1 answer
  • Find the coordinates of point B along a directed line segment from A(3,4) and C(3,9) so that the ratio o
    10·1 answer
  • Can somebody please help.
    9·1 answer
  • Some landscapers just finished planting a new flower garden. They used​ pink, yellow, and blue flowers. For every 2 pink​ flower
    7·1 answer
  • Line m passes through (4, 7) and (8, 2). Line n is parallel to line m. What is the slope
    8·1 answer
  • Capitalism promotes poverty because having a surplus of workers provides people who are willing to work for low wages
    9·1 answer
  • Please help, timed
    8·1 answer
  • The functions f(x)=-3/4x+2 and g(x)=(1/4)^x+1 are shown in the graph.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!