Saved Bookmarks
| 1. |
A uniform solid sphere rolls down an incline. (a) What must be the incline angle if the linear acceleration of the center of the sphere is to have a magnitude of 0.15 g? (b) If a frictionless block were to slide down the incline at that angle, would its acceleration magnitude be more than, less than or equal to 0.15 g? Why? |
| Answer» Solution :(a) `12^(@)`, (b) The acceleration would be more. We can look at this in TERMS of forces or in terms of energy. In terms of forces, the uphill static friction would then be ABSENT, so the downhill acceleration would be due only to the downhill gravitational pull. In terms of energy, the ROTATIONAL term in Eq. 11-5 would be absent so that the potential energy it STARTED with would simply BECOME `1//2mv^(2)`? (without it being "shared" with another term) resulting in a greater speed (and, because of Eq. 2-16, greater acceleration) | |