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!

Rotationl Equilibrium Help

  1. Dec 14, 2005 #1
    Can anyone help me with these problems? Thank-you

    1.) In a circus performance, a large 4.0 kg hoop with a radius of 1.8 m rolls without slipping. If the hoop is given an angular speed of 5.0 rad/s while rolling on the horizontal and is allowed to roll up a ramp inclined at 12° with the horizontal, how far (measured along the incline) does the hoop roll?

    I know I have to use the total mechanical energy formula to solve for the height, then find the sin of 12°. I tried canceling out, and not but each answer I got was wrong. So It would be 1/2mv²+1/2mr²(v²/r²)=mgh, which is 1/2(4)(5²)+1/2(4)(1.8²)(5²/1.8²)=(4)(9.8) when I canceled out I got 50=39.2h (h=1.28), when I did not I got 100=39.2h (h=2.55). After that, I solved for H, with sin12=oppositite/hypotenuse, so I got H=-2.38 and -4.75. I know that distance can't be negative, so I'm pretty sure my signs aren't my problem.

    2.) A mechanic jacks up a car to an angle of 8.0° to change the front tires. The car is 3.20 m long and has a mass of 1160 kg. Its center of mass is located 1.12 m from the front end. The rear wheels are 0.40 m from the back end. Calculate the torque exerted by the car around the back wheels.

    I know it's going to be negative, and that Torque= Fr sin theta
  2. jcsd
  3. Dec 14, 2005 #2

    Doc Al

    User Avatar

    Staff: Mentor

    Two problems: (1) you are mixing up angular speed with linear speed (5.0 rad/s is not v!), and (2) realize that "h" is the change in height of the center of mass of the hoop and that when the hoop is on the incline its center is not directly above the point of contact (the initial height of that center of mass is not at zero).

    The force creating the torque is the car's weight: Where does it act? Also realize that "theta" is the angle between "r" and "F". (Draw yourself a diagram.)
  4. Dec 15, 2005 #3


    User Avatar
    Homework Helper

    besides using v=5 rad/s, instead of v=(1.8 m/rad)(5 rad/s),
    sin(12 degrees) = 0.208, not negative ; you're in radians mode.
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?

Similar Discussions: Rotationl Equilibrium Help
  1. Help equilibrium (Replies: 1)

  2. Equilibrium help ! (Replies: 4)

  3. Static Equilibrium Help (Replies: 12)