Results 1 to 2 of 2

Math Help - tension

  1. #1
    Newbie
    Joined
    Apr 2008
    Posts
    12

    Exclamation tension

    A car towing a trailer along a straight horizontal road.
    The mass of the car is 1200kg and the mass of the trailer is 600kg
    The car's engibe produces a forward force of 5400N
    The car and trailer have an acceleration of 2.5m/s^2

    i)find the total resistance acting on the car and the trailer

    This resistance is dicided between the car and the trailer in the same ratio as their masses.
    ii)Find the tension in the towbar connecting the car and the trailer.

    Thanks
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Member Danshader's Avatar
    Joined
    Mar 2008
    From
    http://en.wikipedia.org/wiki/Malaysia now stop asking me where is malaysia...
    Posts
    158
    hi there,

    part i)

    well basically this is Newton's second law of motion, F=ma;
    where,
    F = resultant force acting on the system(car and trailer)
    m = mass (car and trailer)
    a = acceleration (car and trailer)

    therefore applying Newtons second law of motion:
    Driving force - Frictional force = ma
    5400 - Frictional force = ma
    Frictional force = 5400 - ma = R

    part ii)

    the ratio of mass of the car to that of the trailer= 1200:600 = 2:1
    therefore,
    the frictional force acting on the car = \frac{2}{3}R
    the frictional force acting on the trailer = \frac{1}{3}R

    considering the trailer:

    now it is given that the trailer is accelerating at 2.5ms^{-2}, using Newton's second law of motion again:

    tension in the towbar - frictional force on the trailer = m_t a
    where,
    m_t=mass of the trailer = 600kg

    tension in towbar = m_t a +frictional force on the trailer.


    I think you can continue from here. good luck in finding the answer ^-^
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Tension & Magnitude
    Posted in the Pre-Calculus Forum
    Replies: 9
    Last Post: February 1st 2013, 08:22 AM
  2. Tension
    Posted in the Pre-Calculus Forum
    Replies: 1
    Last Post: August 23rd 2009, 02:03 PM
  3. Vectors: Tension
    Posted in the Pre-Calculus Forum
    Replies: 1
    Last Post: February 18th 2009, 06:26 PM
  4. Tension in a string
    Posted in the Math Topics Forum
    Replies: 3
    Last Post: January 29th 2009, 05:56 PM
  5. forces and tension
    Posted in the Math Topics Forum
    Replies: 3
    Last Post: April 6th 2008, 12:22 AM

Search Tags


/mathhelpforum @mathhelpforum