Posted by **jeff** on Saturday, November 21, 2009 at 9:12am.

a uniform disk and a uniform sphere are rolled down an incline plane from the same point and intially they are at rest. Find the difference in time they arrive at a mark on the plane which is 6 meters from the starting point. The sphere has twice the mass and the same radius as the disk. The disk has a mass of 3kg and a radius of 0.4m. The angle of inclination is 30 degress.

- physics -
**drwls**, Saturday, November 21, 2009 at 9:25am
Use conservation of energy, and make sure you include both the translational energy (1/2) M V^2 (due to linear motion of the center of mass), and the rotational kinetic energy (1/2) I w^2 = (1/2)I(V/R)^2. The sphere will go down the ramp faster because less of the energy gets tied up in rotation.

Show your work if you need further assistance. I is the moment of inertia and w is the angular rotation rate, which equals V/R.

## Answer This Question

## Related Questions

- physics - a uniform disk and a uniform sphere are rolled down an incline plane ...
- Physics - The moment of inertia of a solid uniform sphere of mass M and radius R...
- physics - A solid uniform sphere is released from the top of an inclined plane ....
- Physics - A solid sphere of uniform density starts from rest and rolls without ...
- Physics - A solid sphere of uniform density starts from rest and rolls without ...
- physics - solid sphere of uniform density starts from rest and rolls without ...
- Physics - A uniform solid sphere of mass 4kg and diameter 20cm initally at rest...
- physics - A solid sphere of uniform density starts from rest and rolls without ...
- Physics - A solid sphere of uniform density starts from rest and rolls without ...
- Physics - A uniform solid sphere rolls down an incline. (a) What must be the ...

More Related Questions