# Acceleration of center of mass

a solid sphere of mass M and radius R rolls without slipping down an incluned plane whose incline angle with the horizontal is 30 degrees. That is the acceleration f the sphere's center of mass?

not sure how to attack this problem. Any equations and leads would be appreciated.

## Answers and Replies

Andrew Mason
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UrbanXrisis said:
a solid sphere of mass M and radius R rolls without slipping down an incluned plane whose incline angle with the horizontal is 30 degrees. That is the acceleration f the sphere's center of mass?

not sure how to attack this problem. Any equations and leads would be appreciated.
This question was answered in your previous post at:

https://www.physicsforums.com/showthread.php?t=66391

The key is to think of the angular acceleration of the centre of mass about the point on the rim that is in momentary contact with the surface. While one does not think of the centre of mass as experiencing angular acceleration since it moves in a straight line, there is continuous angular acceleration about a pivot point that moves with the centre of mass.

AM