- #1
Granger
- 168
- 7
Homework Statement
Side by side on the top of an incline plan with height=2 meters a cylinder (Ic= MR^2/2) and a sphere (Ie=2MR^2/5) with equal radius, that come down to the base, rolling without slipping. Mass of the cylinder = 2.0 kg; Mass of a sphere=4.0 kg.
Homework Equations
$$K_r= 1/2 I \omega ^2$$
For rolling without slipping $$v=\omega R$$
The Attempt at a Solution
At first I thought this was a pretty linear problem.
Applying both equations to both the sphere and the cylinder:
$$K= 1/4 M_c v_c^2$$
$$K= 1/5 M_e v_e^2$$
Than I applied conservation of mechanical energy to determine velocity. However this is not correct since we don't know if there is a friction force (in fact we find out in the next question that it has).
So how should I proceed in this case to determine the velocities?
Thanks!