A nonuniform cylinder (radius = 0.14 m, center-of-mass rotational inertia = 2.21×10^-2 kg·m^2, mass = 1.36 kg) starts from rest and rolls without slipping down a plane with an angle of inclination of 24.0 degrees. How long does it take to travel 1.72 m along the incline?
Since it doesn't say "vertical distance" I'm not sure whether the distance they give is a height or the distance directly along the incline. Either way, I know TME initially = mgh and at the final point TME = KE = 1/2mv^2 + 1/2Iw^2. Since it's a cylinder I=1/2mr^2 and w=v/r. Plug those in and combine and vf = sqrt(2gh/3/2). Basically I have all the information, I'm just stumped and lost in applying it. Help...
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