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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

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nata0808 [166]

Answer:

Explained below.

Step-by-step explanation:

Consider the variables height and weight.

It is usually seen that taller people are heavier than shorter people.

So a regression analysis can be used to specify this belief.

The statistical questions that are being asked here are:

  • What the independent and dependent variables?
  • Are there any other factor influencing the dependent variable other than the independent variable?

The variable <em>Y</em> is considered as the dependent variable and the variable <em>Y</em> is considered as the independent variable.  And the main purpose of the regression analysis is to predict the value of <em>Y</em> when the value of <em>X</em> is given.

The linear regression model can be used to predict the past and future value of the dependent variables provided that the independent variables for those times are provided.

5 0
2 years ago
Find the net change in the value of the function between the given inputs. h(t) = t2 + 2; from −5 to 8
pashok25 [27]

Answer:

39

Step-by-step explanation:

Given the function :

h(t) = t² + 2

From t = 5 to t = 8

when, t = 5

h(5) = 5² + 2

h(5) = 25 + 2

h(t) at t = 5 ; equals 27

when, t = 8

h(5) = 8² + 2

h(5) = 64 + 2

h(t) at t = 8 ; equals 66

Net Change :

h(8). - h(5)

66 - 27 = 39

3 0
2 years ago
|-3+(-1)|= simply the expression
Andreyy89

Answer:

4

Step-by-step explanation:

First, solve in the brackets,

-3+(-1)

-3-1

-4

Since it is absolute value, take the minus sign away,

therefore the answer is 4

8 0
3 years ago
Erm I don't understand-
Lana71 [14]

Answer:

1. (7+3)/2

2. 6, 3

3. 5/6

4. 500, 4000

Step-by-step explanation:

1. We are adding 7 and 3 so use the plus sign, THEN we divide by 2

Because we are adding first, put parentheses  

(7+3)/2

2. Nearest whole means whole number (so basically no decimal)

5.823 --> 6 (because 8 is closer to 10 than 0)

3.147 --> 3 (because 1 is closer to 0)

3. 1/3+1/2

Find a common difference, which is 6

Multiply to get 6

1/3*2= 2/6

1/2*3=3/6

3+2=5/6 (when adding keep denominator the same)

4. There are 100 centimeters in a meter

5*100= 500 centimeters

There are 1000 grams in a kilogram

4*1000= 4000 grams

Hope this helps, lemme know if somethings still unclear!!

6 0
3 years ago
Please help! 90 x 120 = ? divided by 2
Anna007 [38]

90 x 120 = 10800

10800/2 = 5400

6 0
2 years ago
Read 2 more answers
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