Question

(a) Determine the acceleration of the center of mass of a uniform solid disk rolling down an incline making angle θ with the horizontal. (b) Compare the acceleration found in part (a) with that of a uniform hoop. (c) What is the minimum coefficient of friction required to maintain pure rolling motion for the disk

Answer 1

Explanation:

The pure rolling of a body is the rolling of the body without slipping. Let us consider a body (a sphere, a cylinder, a disc, or a hoop) of mass

M

, radius

R

and moment of inertia

I

rolling down an incline having the angle inclination

θ

.

The acceleration of the center of maas if the body will be given by:

a

=

g

sin

θ

1

+

(

I

/

M

R

2

)