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!

Time hollow cylinder spends on ramp

  1. Dec 9, 2008 #1
    1. The problem statement, all variables and given/known data
    A hollow cylinder (hoop) is rolling on a horizontal surface at speed v= 3.3 m/s when it reaches a 15 degree incline. (a) How far up the incline will it go? (b) How long will it be on the incline before it arrives back at the bottom?


    2. Relevant equations
    Energy conservation:
    1/2 Iw^2 + 1/2mv^2 = mgh

    v^2 = vo^2 +2ax
    x=vot + .5at^2
    v=vo+at


    3. The attempt at a solution
    I for this problem is (I think) 1/2 m (r1^2 + r2^2), but the r's cancel because w^2 = v^2/(r1^2 + r2^2)

    So I believe the energy equation simplifies to .25v^2 + .5v^2 = gh

    I solve and get h = .833 and so the length = .833/sin15 = 3.22
    However, the book says the length is 4.29.

    Also, after that I don't know where to go.

    For time, I tried v=vo+at, for a I used 9.8sin 15 and t (up) I got 1.3s
    However, the total t= 5.2 s

    Thank you so much!
     
  2. jcsd
  3. Dec 9, 2008 #2

    Doc Al

    User Avatar

    Staff: Mentor

    Careful. Treat this as a thin hoop--with a single radius. (You're using a formula for a thick hollow cylinder. You'd have to set r1 = r2 to use that one.)

    You'll need to redo this, after fixing the above.

    Careful--gravity is not the only force acting. A simpler way would be to figure out the average speed as it goes up the ramp.
     
  4. Dec 9, 2008 #3
    What other force is acting on it?

    Ok, I treated the hoop as a thin one and now my equation is:

    v^2 = gh
    h = 1.1 m, so length is 1.1/sin15 = 4.29m woo!

    Now for t... I don't really know what to use anymore :/
     
  5. Dec 9, 2008 #4

    Doc Al

    User Avatar

    Staff: Mentor

    Friction.

    Good.

    You know the distance. What's the average speed up the incline?
     
  6. Dec 9, 2008 #5
    vo/2

    Ah then do x/v = t. How do you know when to use average velocity though? I never seem to use that.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?



Similar Discussions: Time hollow cylinder spends on ramp
  1. Rho hollow cylinder (Replies: 1)

  2. Hollow cylinder (Replies: 6)

Loading...