Results 1 to 7 of 7

Math Help - Engineering systems

  1. #1
    Newbie
    Joined
    Jul 2012
    From
    England
    Posts
    3

    Question Engineering systems

    A crate of mass 1500kg is at the top of a frictionless ramp. The slope of the ramp is 15degrees to the horizontal and is 75 metres long. The weight is about to slide down the ramp, what is the velocity at the bottom of the ramp?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    skeeter's Avatar
    Joined
    Jun 2008
    From
    North Texas
    Posts
    11,698
    Thanks
    454

    Re: Engineering systems

    Quote Originally Posted by xsokyx View Post
    A crate of mass 1500kg is at the top of a frictionless ramp. The slope of the ramp is 15degrees to the horizontal and is 75 metres long. The weight is about to slide down the ramp, what is the velocity at the bottom of the ramp?
    use energy principles ...

    potential energy at the top of the ramp = kinetic energy at the bottom of the ramp

    mgh = \frac{mv^2}{2}
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie
    Joined
    Jul 2012
    From
    England
    Posts
    3

    Re: Engineering systems

    could you explain to me how to complete the formula, or tell me what mgh etc means?
    Follow Math Help Forum on Facebook and Google+

  4. #4
    MHF Contributor

    Joined
    Apr 2005
    Posts
    15,707
    Thanks
    1470

    Re: Engineering systems

    "m" is the mass of the object (which isn't really relevant here since the two "m"s in the formula will cancel), "g" is the acceleration due to gravity, at the surface of the earth, about 9.81 meters per second per second. "h" is the vertical height between the initial position of the object and the last position (the "opposite side" of a right triangle with hypotenuse the length of the ramp). v is the velocity (in meters per second if you use g= 9.81) of the object at the bottom of the ramp (what you are asked to find).
    Follow Math Help Forum on Facebook and Google+

  5. #5
    MHF Contributor
    skeeter's Avatar
    Joined
    Jun 2008
    From
    North Texas
    Posts
    11,698
    Thanks
    454

    Re: Engineering systems

    Quote Originally Posted by xsokyx View Post
    could you explain to me how to complete the formula, or tell me what mgh etc means?
    What do you know about the dynamics of objects sliding down frictionless incline planes? You obviously are not schooled in the principles of mechanical energy ... have you studied kinematics and Newton's laws of motion?
    Follow Math Help Forum on Facebook and Google+

  6. #6
    Newbie
    Joined
    Jul 2012
    From
    England
    Posts
    3

    Re: Engineering systems

    What I really need is someone that can help with solving the equation. I understand a bit about newtons laws of motions. I can find that out else where, all I need is help on the equation, that's why I came here.
    Follow Math Help Forum on Facebook and Google+

  7. #7
    MHF Contributor
    skeeter's Avatar
    Joined
    Jun 2008
    From
    North Texas
    Posts
    11,698
    Thanks
    454

    Re: Engineering systems

    Quote Originally Posted by xsokyx View Post
    What I really need is someone that can help with solving the equation. I understand a bit about newtons laws of motions. I can find that out else where, all I need is help on the equation, that's why I came here.
    mgh = \frac{mv^2}{2}

    basic algebra solving for v ...

    v = \sqrt{2gh}

    using right triangle trig ...

    h = 75\sin(15^\circ) \, meters

    g = 9.8 \, m/s^2

    ... finish it.


    Note that you didn't provide an equation to solve the given problem in the first place. Understand that when someone posts a problem in the advanced applied math forum, folks here are going to assume that the poster has the minimum requisite knowledge to at least attempt setting up their own equation based on the problem statement.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 0
    Last Post: February 13th 2011, 11:40 AM
  2. Engineering Circuits help
    Posted in the Math Topics Forum
    Replies: 0
    Last Post: April 24th 2010, 04:29 PM
  3. Engineering statistics help
    Posted in the Statistics Forum
    Replies: 0
    Last Post: April 18th 2010, 05:40 AM
  4. Engineering statistics help
    Posted in the Statistics Forum
    Replies: 1
    Last Post: April 17th 2010, 08:58 PM
  5. Engineering statistics help #2
    Posted in the Statistics Forum
    Replies: 0
    Last Post: April 17th 2010, 07:28 PM

Search Tags


/mathhelpforum @mathhelpforum