Question

In the “race” of conceptual problem 5 (and similar to what we did in lab), the uniform cylinder, uniform sphere, and cylindrical hoop race down a 2 meter long ramp tilted 10^o to the horizontal. Each object has the same mass (10.0 kg) and radius (10.0 cm). Assume no slippage between the ramp and object and the coefficient of friction = 0.5. Calculate the following: (a) the final velocity of each (b) the center of mass acceleration of each object, (c), the time required for each object to race down the ramp, (d) the frictional force acting on each object. Fill in the table below with the numerical values (but make sure you show how you 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

Answer 1

object	f	v(m/s)	a(m/s2 )	t(s)	Ff (N)
Hoop	1	2.610	0.8517	2.167	8.517
Cylinder	0.5	2.131	1.136	1.877	5.678
Sphere	0.4	2.206	1.217	1.813	4.867