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Find the acceleration of a ball rolling without slipping on an inclined plane. |
Consider a ball placed on a ramp inclined at θ = 30° above the horizontal.
Part A
What is the acceleration of the ball's center of mass as it rolls down the ramp? Assume that the ball rolls without slipping.
Solution
We consider two methods.
Method 1: Dynamics
System: | Cloak |
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The ball is treated as a . |
Interactions: | Cloak |
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External influences from the earth (gravity) and the ramp (friction and normal force). |
Model: Approach: Interactions: | Cloak |
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External influences from the earth (gravity) and the ramp (normal force and friction). |
Model: Approach: Approach: Method 2: Energy
System: | Cloak |
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The ball plus the earth and ramp. |
Interactions: | Cloak |
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There are internal gravity, normal and friction forces. Gravity is conservative, while the normal force and friction are non-conservative. |
Model: Approach: | Wiki Markup |
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