ANSWER QUICKLY FOR 15 POINTS!! :,)

Two forces with magnitudes of 150 and 100 pounds act on an object at angles of 30° and 120°, respectively. Find the direction an

lyudmila [28]

<h2>Answer:</h2>

$Magnitude=180.27 \ lbf \\ \\ Direction=63.69 \ degrees$

<h2>Step-by-step explanation:</h2>

We have two forces as follows:

<u>First force:</u>

Magnitude: 150 pounds

Angle: 30°

<u>First force:</u>

Magnitude: 100 pounds

Angle: 120°

So the components can be found as follows:

$F_{1x}=150cos(30)=129.90 \ lbf\\F_{1y}=150sin(30) = 75 \ lbf \\ \\ F_{2x}=100cos(120)=-50 \ lbf\\F_{2y}=100sin(120) = 86.60 \ lbf$

So the components of the resultant force can be found by adding each component of the individual forces as follows:

$R_{x}=\Sigma F_{x} \\ R_{y}=\Sigma F_{y} \\ \\ R_{x}=129.90-50=79.90 \ lbf \\ R_{y}=75+86.60=161.6 \ lbf$

Finally, the magnitude and direction of the resultant force is:

$Magnitude \rightarrow R=\sqrt{R_{x}^2+R_{y}^2}=\sqrt{79.90^2+161.6^2}=180.27 \ lbf \\ \\ Direction \rightarrow \theta=tan^{-1}(\frac{R_{y}}{R_{x}})=tan^{-1}(\frac{161.6}{79.90})=63.69 \ degrees$

6 0

3 years ago

Read 2 more answers

I NEED HELP PLEASE ?!!

Fittoniya [83]

The circle equation is in the format (x – h)² + (y – k)² = r², with the center being at the point (h, k) and the radius being "r".

QUESTION 11.
Equation x²+y²+10x-14y-7 =0 can be rewritten as: x²+10x+25 + y² -14y + 49 -7 - 25 - 49=0
It can be factories as (x + 5)² + (y – 7)² = 9²

Therefore the radius equals 9 and the center is (-5,7)

QUESTION 12.
From equation (x + 4)² + y² = 121

The radius equals √121 = 11 and the center is (-4,0)

QUESTION 13.
As there are missing information in the question, I can't assist. However, you can use the general circle equation (x – h)² + (y – k)² = r² to solve the question.

Finally equations 14 & 15 aren't linear.

Hope that helps you :)

5 0

3 years ago

What is the constant of the polynomial 2x3 - 8x2 + 3x - 7

Firlakuza [10]

Answer:

-7

Step-by-step explanation:

A constant number is a number that contains no variables like x and y. The only constant in that problem is -7.

8 0

3 years ago

What does the x represent on a motion map

Arada [10]

Answer: The x represents the reference point

Step-by-step explanation: motion maps are another way to represent the motion of an object. (Other representations are graphical and mathematical models). ...An object is in motion if it changes position relative to a reference point.

5 0

3 years ago

The two sales people for a local advertising firm are Trinity and Jason. Trinity sold $2,330 in ads and Jason sold $1,740. What

pav-90 [236]

The two sales people for a local advertising firm are Trinity and Jason.

Sales amount of Trinity = $2330

Sales amount of Jason = $1740

Total sales of both the people = $2330+1740=4070$