A rolling ball (II) Context A solid sphere rolls without slipping down an inclined plane. We are looking for the acceleration undergone by the sphere. ( Static friction is involved here ) Information The mass and the radius of the sphere are known. The angle theta of the inclined plane is known. The length of the plane is known. Modelization Create a model for the linear acceleration of the sphere given known parameters that are relevant. Use notions of conservation of energy. Then test your model with the following values: Mass of the sphere: 2.1 kg Radius of the sphere: 0.15 m Inclined plane angle: 14 degrees Length of inclined plane: 2.3 m

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A rolling ball (II)
Context
A solid sphere rolls without slipping down an inclined plane. We are looking for the acceleration undergone by the sphere. ( Static friction is involved here )

Information

The mass and the radius of the sphere are known.
The angle theta of the inclined plane is known.
The length of the plane is known.


Modelization

Create a model for the linear acceleration of the sphere given known parameters that are relevant. Use notions of conservation of energy.

Then test your model with the following values:

Mass of the sphere: 2.1 kg

Radius of the sphere: 0.15 m

Inclined plane angle: 14 degrees

Length of inclined plane: 2.3 m

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