In the “race†of conceptual problem 5 (and similar to what wedid in lab), the uniform cylinder, uniform sphere, and cylindricalhoop race down a 2 meter long ramp tilted 10o to thehorizontal. Each object has the same mass (10.0 kg) and radius(10.0 cm). Assume no slippage between the ramp and object and thecoefficient of friction = 0.5. Calculate the following: (a) thefinal velocity of each (b) the center of mass acceleration of eachobject, (c), the time required for each object to race down theramp, (d) the frictional force acting on each object. Fill in thetable below with the numerical values (but make sure you show howyou obtained the necessary relationships!).
Object | f | vf (m/s) (pt a) | a (m/s2) (pt b) | t (s) (pt c) | Ffr (N) (pt d) |
Hoop | 1 | | | | |
Cylinder | 0.5 | | | | |
Sphere | 0.4 | | | | |