Results 1 to 3 of 3

Math Help - Mechanics problem

  1. #1
    Junior Member
    Joined
    Nov 2008
    Posts
    45

    Mechanics problem

    Hi,

    Could anybody help with this one please:

    Q. A point particle moves in a plane with trajectory (in metres per second)


    r (t) = x(t)i + y(t) j,

    where

    x(t) = 1/2 tē

    y(t) = 2 cos(t)

    a) Sketch the trajectory of the particle for t ≥ 0. (not sure if you can do this on a msg board!).

    b) Compute the velocity,

    v(t), of the particle for t ≥ 0.

    c) Compute the acceleration,

    a (t), of the particle for t ≥ 0 and determine the maximum value of the magnitude of the vector

    a (t).

    I know the velocity is the derivative and acceleration is the second derivative but I'm not sure about magnitude, especially the max value.

    Thanks
    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
    x = \frac{t^2}{2}

    v_x = t

    a_x = 1


    y = 2\cos{t}

    v_y = -2\sin{t}

    a_y = -2\cos{t}



    v(t) = (t)\vec{i} - (2\sin{t}) \vec{j}

    a(t) = \vec{i} - (2\cos{t}) \vec{j}

    |a| = \sqrt{1 + 4\cos^2{t}}

    |a_{max}| = \sqrt{5} ... why?
    Follow Math Help Forum on Facebook and Google+

  3. #3
    MHF Contributor
    skeeter's Avatar
    Joined
    Jun 2008
    From
    North Texas
    Posts
    11,695
    Thanks
    450
    graph ...
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Mechanics Problem!
    Posted in the Math Topics Forum
    Replies: 1
    Last Post: March 4th 2010, 10:46 PM
  2. Mechanics problem!
    Posted in the Math Topics Forum
    Replies: 3
    Last Post: January 20th 2010, 03:05 AM
  3. Mechanics Problem
    Posted in the Advanced Applied Math Forum
    Replies: 1
    Last Post: April 12th 2009, 07:52 AM
  4. Mechanics Problem
    Posted in the Math Topics Forum
    Replies: 4
    Last Post: June 1st 2008, 12:50 PM
  5. Mechanics problem
    Posted in the Advanced Applied Math Forum
    Replies: 5
    Last Post: October 30th 2006, 01:49 PM

Search Tags


/mathhelpforum @mathhelpforum