(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

A solid uniform disk of radius 0.250 m and mass 55.0 kg rolls down an incline that makes an angle of 15 degrees with the horizontal. The disk starts from rest from the top of the ramp. Find the speed of the disk's center of mass when it reaches the bottom of the ramp(linear speed), its angular speed omega at that point and its KE rotational and KE translational energies.

2. Relevant equations

V(linear) = [tex]omega[/tex]*R

[tex]\alpha[/tex]=R*[tex]\omega[/tex]^{2}

v=R*[tex]\omega[/tex]

a=R*[tex]\alpha[/tex]

PE = KE_{rotational}+ KE_{translational}

I = 1/2mr^{2}

3. The attempt at a solution

I solved for I and got 1.72 kg * m^2 however without height or length I can't solve for the PE side inorder to get the KE.

I've seen the equation [tex]\alpha[/tex]=2gsin[tex]\Theta[/tex]/3R and thats the only thing I've noticed that would allow me to solve for either V or [tex]\omega[/tex] in this case. Am I missing something here, some equation which relates another way to this problem?

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# Uniform disk on incline problem,solving w/out height or length while only given angle

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