- #1
asourpatchkid
- 8
- 0
Sphere/disk rolling down an incline HELP!
a ball, or sphere with a radius of R and mass Mis rolling down an incline with a height of H and an angle of [tex]\Theta[/tex] how long does it take to get to the bottom
Conservation of mechanical energy
Kf + Uf = Ki + Ui
K = 1/2 (I/R^2 + M)v^2
i solved for the system with conservation of energy
1/2(I/R^2 + M )v^2 + 0 = 0 + Mgh
solved for final velocity of the ball or disc at the bottom of the incline
and got
v = [2gh/1 + ( I/ MR^2)]^0.5
set H=MG[tex]\Theta[/tex]
and got
v = [2gMG[tex]\Theta[/tex]/1 + ( I/ MR^2)]^0.5
i am having trouble however seeing how i can solve for time t in terms of all the variables...please help!
Homework Statement
a ball, or sphere with a radius of R and mass Mis rolling down an incline with a height of H and an angle of [tex]\Theta[/tex] how long does it take to get to the bottom
Homework Equations
Conservation of mechanical energy
Kf + Uf = Ki + Ui
K = 1/2 (I/R^2 + M)v^2
The Attempt at a Solution
i solved for the system with conservation of energy
1/2(I/R^2 + M )v^2 + 0 = 0 + Mgh
solved for final velocity of the ball or disc at the bottom of the incline
and got
v = [2gh/1 + ( I/ MR^2)]^0.5
set H=MG[tex]\Theta[/tex]
and got
v = [2gMG[tex]\Theta[/tex]/1 + ( I/ MR^2)]^0.5
i am having trouble however seeing how i can solve for time t in terms of all the variables...please help!