anonymous
  • anonymous
three forces (and no others) act upon an object, which remains at rest. the forces are represented by the vectors P, Q and R where P=-4i-5j and Q=-2i+9j. find the magnitude and direction of the vector the answer options i got are magnitude 3.2 or magnitude 7.2 and the options i got for direction are -146.3 degrees. -56.3 degrees, -33.7 degrees, 33.7 degrees, 56.3 degrees or 146.3 degrees
Mathematics
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

Get our expert's

answer on brainly

SEE EXPERT ANSWER

Get your free account and access expert answers to this
and thousands of other questions.

anonymous
  • anonymous
three forces (and no others) act upon an object, which remains at rest. the forces are represented by the vectors P, Q and R where P=-4i-5j and Q=-2i+9j. find the magnitude and direction of the vector the answer options i got are magnitude 3.2 or magnitude 7.2 and the options i got for direction are -146.3 degrees. -56.3 degrees, -33.7 degrees, 33.7 degrees, 56.3 degrees or 146.3 degrees
Mathematics
chestercat
  • chestercat
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

Get this expert

answer on brainly

SEE EXPERT ANSWER

Get your free account and access expert answers to this
and thousands of other questions

anonymous
  • anonymous
"Remains at rest" always always always means: "Summation of the forces is going to amount to zero"
radar
  • radar
Sum P and Q. R will equal that sum times -1 As the total sum will be 0 a stated by brinethery.
anonymous
  • anonymous
how do you tell the direction though

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

radar
  • radar
R will be 180 degrees from the sum of P and Q
anonymous
  • anonymous
the answer options i got are magnitude 3.2 or magnitude 7.2 and the options i got for direction are -146.3 degrees. -56.3 degrees, -33.7 degrees, 33.7 degrees, 56.3 degrees or 146.3 degrees
anonymous
  • anonymous
well, since P + Q will give you -6i + 4j, R will be 6i-4j, so with this, you can calculate the magnitude with pythagoras, and the angle with tan(4/6)
anonymous
  • anonymous
how would pythagoras work as you dont have the side, sorry but im totally lost here
anonymous
  • anonymous
|dw:1334598901478:dw| Now, you know the components of the vector R, as radar stated, it's 180 opposite from P+Q. Since you already have the vector components, you can draw a right triangle and calculate everything with it. Do you see it?
anonymous
  • anonymous
|dw:1334599135199:dw|
anonymous
  • anonymous
i kinda see where you are coming from but i still cant see what i have got to put on each side cos i just got letters so how do i get a number degrees out of it or a magnitude
anonymous
  • anonymous
i and j are unit vectors, which means that their length is 1. For the purpose of this, it's simply a triangle with sides 4 and 6. the angle can then easily be found, it's tan^-1(4/6) and you adjust it, either adding a minus sign, or 180 degrees, depending on where it is. Since it's in the 4 quadrant, simply add a minus sign

Looking for something else?

Not the answer you are looking for? Search for more explanations.