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
Aleksandr [31]
3 years ago
12

Can someone explain this

Mathematics
1 answer:
horsena [70]3 years ago
6 0

9514 1404 393

Answer:

  • resultant force: 93.946∠-10.62° N
  • line of action: 17.314x +92.337y = 809.433

Step-by-step explanation:

We can use the notation a∠b to represent the (x, y) components (a·cos(b), a·sin(b)), where angle b is measured CCW from the +x direction. If we label the forces a, b, c, d clockwise from A, then we have ...

  a = 80∠0° = (80, 0)

  b = 60∠90° = (0, 60)

  c = 90∠45° = (63.640, 63.640)

  d = 150∠-110° = (-51.303, -140.954)

__

If we label point A the origin, then the clockwise torque on point A is the sum of products of the force x-component and its y location, and its y-component and the negative of its x location.

  T = (0, 0)·(80, 0) +(3, 0)·(0, 60) +(3, -8)·(63.640, 63.640) +(0, -8)·(-51.303, -140.954)

  T = 809.433 . . . . n·m, the CW torque on point A

__

The sum of forces is ...

  F = a +b +c +d = (92.337, -17.314) = 93.946∠-10.62° . . . N

__

This force, applied to the point of application, must generate the same torque as the given forces. That is ...

  F·(y, -x) = 809.433

Then the equation of the line of action is ...

  17.314x +92.337y = 809.433 . . . . . x and y in meters measured from A

Any point (x, y) on this line will serve as a point of application of the force. Unfortunately, this line of action does not pass through the rectangular plate. The attachment shows the point (D) on the line of action that is closest to point A.

_____

<em>Additional comment</em>

The resultant force could be decomposed into two forces acting <em>on the rectangular plate</em>. One could be of much larger magnitude, operating at the corner opposite point A. This force would provide the necessary torque. Another would be acting on point A, providing no torque, but with components such that the resultant has the correct magnitude and direction.

You might be interested in
Ellie missed 76 questions on her multiple choice history final and earned a grade of 62%. How many total questions were on the f
erica [24]

Answer:

200 questions on the final exam.

Step-by-step explanation:

38% = 76 questions, 100% = 2.63157894737 x 76 = 200

(100/38=2.63157894737 hence this is the answer)

6 0
1 year ago
Robert is purchasing some equipment for his baseball team. He wants to buy some baseballs, each priced at m dollars. He has alre
KiRa [710]

Answer:

Part A: (1/2)m

Part B: (1/3rd)b and 3mx

Step-by-step explanation:

Price of each baseball is=$m

Price of other equipment are=$b collectively

Total amount He spent on purchasing equipment is =(m+b)$

Part A:

in part A the amount on purchasing other equipment than baseball is getting doubled i.e. $2b <u> then value of m will be (1/2)half of the total amount spent on purchasing baseball i.e. (1/2)m</u>

Part B:

in part B the amount spent on purchasing baseball is getting tripled i.e. <u>3m</u>, then value of b(amount of purchasing other equipment) is<u> (1/3rd) of total</u> <u>amount spent on purchasing other equipment</u> and value of mx will be<u> 3mx</u>

4 0
3 years ago
What quantities are equivalent to 250 meters
Vsevolod [243]

Hello there,

Okay, well you have asked what quantities are equivalent to 250 meters well 250 meters would be...

  • 25000 centimeters
  • 0.25 kilometers
  • 820.20 feet

Hope I helped,

Amna

6 0
3 years ago
Heyyyyyyyyyyy!<br><br> so uhm help please!<br><br> 16500 rounded to the nearest whole numberrrr
natali 33 [55]
? it’s already rounded, is there supposed to be a decimal?
5 0
3 years ago
What is (1/4)^2x+3=2^5x+4<br> find the value of x?
AURORKA [14]

Answer:

x = -  \frac{10}{9}

5 0
2 years ago
Other questions:
  • Find the volume.<br><br> Please help thank you!
    5·1 answer
  • Solve for x. -ax+4b&gt;9
    12·2 answers
  • What adds up to 8 but multiples to 0
    15·1 answer
  • I am a number between 500 and 600. My Ones digit is 5. My tens digit is the difference between my ones and hundreds digits. Who
    10·2 answers
  • Graph 3/6 3/4 and 3/12 on a number line
    13·1 answer
  • What is the equation of the vertical line through (2,3)?
    8·1 answer
  • I don't quite get 4.
    14·2 answers
  • In ΔLMN, the measure of ∠N=90°, the measure of ∠M=7°, and NL = 4.4 feet. Find the length of MN to the nearest tenth of a foot.
    15·2 answers
  • using the same application you used in part f, reflect the line segment across the x-axis. then, rotate it 90° clockwise. Finall
    12·2 answers
  • Which graph represents the function f(x) = |XI – 4?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!