1. Limited time only! Sign up for a free 30min personal 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!

Angular momentum of particle problem

  1. Oct 18, 2009 #1
    1. The problem statement, all variables and given/known data

    A 3-lb collar can slide on a horizontal rod which is free to rotate about a vertical shaft. The collar is initially held at A= 0.5 ft by a cord attached to the shaft. A spring constant of 2 lb/ft is attached to the collar and to the shaft and is undeformed when the collar is at A=0.5 ft. As the rod rotates at the rate of (theta dot)= 16 rad/s, hte dord is cut and the collar moves out along the rod. Neglecting friction and the mass of the rod, determine (a) the radial and transverse components of the acceleration of the collar at A, (b) the acceleration of the collar relative to the rod at A, (c) the transverse component of the velocity of the collar at B = 1.5 ft.


    2. Relevant equations

    r' = transverse velocity r'' = transverse acceleration
    (theta)' = radial velocity (theta)'' = radial acceleration

    h=rvsin(phi)


    3. The attempt at a solution

    (a) Spring Force, Fs=kx=mar= 0
    (mar = mass * transverse acceleration)

    (b) m[ r'' - r (theta)'squared]

    (c) h0=hf (initial = final)
    r0v0sin(phi)=rvBsin(phi)
    r(r0 theta') = rvB
    vB= [r0(squared) * theta]/ rf
     
  2. jcsd
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Can you offer guidance or do you also need help?
Draft saved Draft deleted



Similar Discussions: Angular momentum of particle problem
Loading...