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
Help? i really don’t understand :(((
horsena [70]

Answer:

whats the question

Step-by-step explanation:

6 0
3 years ago
Im a 5th grader please help me. we a doing division 25÷3
lianna [129]

The answer is 8.333333 it goes on and 3 is repeating.


3 0
3 years ago
Hich is the joint relative frequency for the people who can only see the sunset?
UNO [17]

Answer:

12/38

Step-by-step explanation:

7 0
2 years ago
I need help with my homework can anyone help me please?
alisha [4.7K]

Answer:

For 14 from left to right should be 11 10 10 9 8 6. For 15 is wrong because 4 people jumped 3 feet and 3 people jumped 4 feet

7 0
3 years ago
Read 2 more answers
Help please!! I'm having trouble with this question
Fiesta28 [93]

Answer:

the least value would be 85

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
Other questions:
  • The distance from the center of a round table top to the edge of the table top is 4 feet what's the area of the tabletop
    6·2 answers
  • Which value for x makes the open sentence true? 5⋅x+1=1+x2
    12·1 answer
  • Use this figure to find the value of y ... Please help
    5·2 answers
  • What is the area of a shape that has the lengh of 10 cm and the height of 5cm
    14·1 answer
  • 8x+2&gt;348 ,plezz i need help
    15·1 answer
  • Solve:<br> (4 × 6) ÷ (2 + 4) ÷ (8 ÷ 4) =
    7·1 answer
  • What is the 7th term in the sequence below?
    13·1 answer
  • A zip line starts on a platform that is 40 meters above the ground. The anchor for the zip line is 198 horizontal meters from th
    13·1 answer
  • Vijay has a tub of 500 plastic jungle animals.
    12·1 answer
  • For a positive angle, the rotation from the initial side to the terminal side takes place in a ___________ direction. For a nega
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!