Results 1 to 2 of 2

Math Help - Trigonometric Word Problems involving Vectors, Magnitude, and Direction!

  1. #1
    Newbie
    Joined
    Nov 2009
    Posts
    3

    Trigonometric Word Problems involving Vectors, Magnitude, and Direction!

    Hi all, I have recently asked about a couple problems involving law of sines/cosines and I understand those now thanks to the help I've received here! Now I've run into a word problem involving magnitude and direction. I'm a bit confused on this topic, so if anyone would like to help me work a couple problems I would really appreciate it!

    (1.) Two forces F1 of magnitude 35 newtons (N) and F2 of magnitude 55 newtons, act on an object at angles of 45 degrees and -60 degrees (respectively) with the positive x-axis. Find the direction and magnitude of the resultant force; that is, find F1+F2. Round the direction and magnitude to two decimal places.

    When I asked my professor about these problems he told me "I'll have to get back to you on that, just read the book until you get it"


    (2.) Two forces of magnitude 25 pounds and 40 pounds act on an object. The force of 40 lb acts along the positive x-axis, and the force of 25 lb acts at an angle of 80 degrees with the positive x-axis. Find the direction and magnitude of the resultant force. Round the direction and magnitude to the nearest whole number.


    If anyone knows about these, please help me to understand thank you all!
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    skeeter's Avatar
    Joined
    Jun 2008
    From
    North Texas
    Posts
    11,695
    Thanks
    450
    Quote Originally Posted by mdebourg View Post
    Hi all, I have recently asked about a couple problems involving law of sines/cosines and I understand those now thanks to the help I've received here! Now I've run into a word problem involving magnitude and direction. I'm a bit confused on this topic, so if anyone would like to help me work a couple problems I would really appreciate it!

    (1.) Two forces F1 of magnitude 35 newtons (N) and F2 of magnitude 55 newtons, act on an object at angles of 45 degrees and -60 degrees (respectively) with the positive x-axis. Find the direction and magnitude of the resultant force; that is, find F1+F2. Round the direction and magnitude to two decimal places.

    When I asked my professor about these problems he told me "I'll have to get back to you on that, just read the book until you get it"


    (2.) Two forces of magnitude 25 pounds and 40 pounds act on an object. The force of 40 lb acts along the positive x-axis, and the force of 25 lb acts at an angle of 80 degrees with the positive x-axis. Find the direction and magnitude of the resultant force. Round the direction and magnitude to the nearest whole number.


    If anyone knows about these, please help me to understand thank you all!
    use components to add the vectors ...

    (1) R_x = 35\cos(45) + 55\cos(-60)

    R_y = 35\sin(45) + 55\sin(-60)

    |R| = \sqrt{(R_x)^2 + (R_y)^2}

    \theta = \arctan\left(\frac{R_y}{R_x}\right)


    same procedure for #2
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Magnitude and Direction
    Posted in the Pre-Calculus Forum
    Replies: 5
    Last Post: April 7th 2011, 12:31 AM
  2. Magnitude and direction
    Posted in the Pre-Calculus Forum
    Replies: 3
    Last Post: July 30th 2010, 09:53 AM
  3. Magnitude and direction of a vector
    Posted in the Advanced Algebra Forum
    Replies: 1
    Last Post: June 2nd 2010, 04:32 AM
  4. Vectors: Finding the magnitude and direction angle
    Posted in the Pre-Calculus Forum
    Replies: 1
    Last Post: June 7th 2009, 10:25 AM
  5. Vector magnitude and direction
    Posted in the Calculus Forum
    Replies: 5
    Last Post: March 31st 2009, 03:21 PM

Search Tags


/mathhelpforum @mathhelpforum