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!

Homework Help: Rotational kinematics on a plane

  1. Apr 6, 2009 #1
    1. The problem statement, all variables and given/known data

    A circular hoop rolls down a ramp without slipping. The angle of the ramp with respect to horizontal is 30 degrees.

    1) What is the acceleration of the center of mass of the hoop down the ramp?

    a = ( 1/4 ) g
    a = ( 1/3 ) g
    a = ( 1/2 ) g
    a = ( 2/3 ) g
    a = ( 3/4 ) g
    2. Relevant equations

    rotational kinematics with potential and kinetic energy

    3. The attempt at a solution


    I'm not sure if there is more to the problem, any suggestions
  2. jcsd
  3. Apr 6, 2009 #2


    User Avatar

    You should set up your coordinate system as usual (x axis along the plane; y axis perpendicular). Then write a set of translational equations based on F = ma and a set of rotational equations based on

    [tex] \tau = I \alpha [/tex]

    You'll need the moment of inertia for the hoop and to recall that [tex] \alpha = \frac{a}{r} [/tex]. While you're considering the rotational motion, keep in mind that the force of friction caused the hoop to rotate. With all these pieces you should be able to arrive at the answer.
  4. Apr 6, 2009 #3


    User Avatar
    Homework Helper

    Write down the expression for net force and torque on sliding hoop and solve for a(cm)
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook