1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Please help me on KINETICS

  1. May 12, 2007 #1
    Hi everyone, I have a difficulty of the following Dynamics (kinetics) problems (from Hibbeler’s Eng Mech Dynamics, 11E book)

    PROBLEMS 12-26

    Ball A is released from rest at a height of 40 ft at the same time that a second ball B is thrown upward 5 ft from the ground. If the balls pass one another at a height of 20 ft, determine the speed at which ball B was thrown upward.

    ANSWER

    Given:

    h1 = 40 ft

    h2 = 5 ft

    h3 = 20 ft

    g = 32.2 ft / s

    Solution:

    For Ball A:

    aA = –gt

    vA = –gt

    sA = (–g/2)t^2 + h1

    For Ball B:

    aB = –g

    vB = –gt + vB0

    sB = (–g/2)t^2 + vB0t + h2

    Guesses:

    t = 1 s, vB0 = 2 ft/s

    Given:

    h3 = (–g/2)t^2 + h1

    h3 = (–g/2)t^2 + vB0t + h2

    t = 1.115 s ….. Answer

    vB0 = 31.403 ft/2 ….. Answer

    Now the question is:

    FIRST

    Please refer to "For Ball B" data, why the vB0 is existing as we can assume that the initial velocity of the Ball B is Zero?

    SECOND

    Why the value of t is 1 second and vB0 is 2 feet per second on "Guesses"?
    Can I replace them with another Number?

    THIRD

    How to obtain the following Equation on "Given"?

    h3 = (–g/2)t^2 + h1

    These were very hard for me to understand, so, any response would be Highly appreciated.

    Cheers
     
  2. jcsd
  3. May 12, 2007 #2

    Doc Al

    User Avatar

    Staff: Mentor

    Ball B is thrown upward. Why would you think it's initial speed is zero?

    I have no idea what "Guesses" mean. Are they expecting you to give a rough guess before you figure it out? Guess anything you want, as long as you then figure it out correctly.

    They are just plugging the final position (where the balls pass each other) into your equation for Ball A (from your solution):
    sA = h3
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?