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183_notes:curving_motion [2015/07/10 13:43] – obsniukm | 183_notes:curving_motion [2018/05/29 21:06] – hallstein | ||
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+ | Section 5.5, 5.6 and 5.7 in Matter and Interactions (4th edition) | ||
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===== Modeling Curved Motion ===== | ===== Modeling Curved Motion ===== | ||
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==== Relationship to the tangential and centripetal accelerations ==== | ==== Relationship to the tangential and centripetal accelerations ==== | ||
- | In your previous studies, you might have come across the [[http:// | + | In your previous studies, you might have come across the [[http:// |
$$\vec{F}_{net} = \vec{F}_{\parallel} + \vec{F}_{\perp}$$ | $$\vec{F}_{net} = \vec{F}_{\parallel} + \vec{F}_{\perp}$$ | ||
$$\vec{F}_{\parallel} | $$\vec{F}_{\parallel} | ||
- | The direction of each of these accelerations is the same as their corresponding forces. The tangential acceleration is tangent to the path, and this points in the $\hat{p}$ direction. The centripetal acceleration is perpendicular to the path and points in the $\hat{n}$ direction. You can use the magnitudes of each force component to determine formulae for the accelerations. | + | The direction of each of these accelerations is the same as their corresponding forces. The tangential acceleration is tangent to the path, and this points in the $\hat{p}$ direction |
$$F_{\parallel} | $$F_{\parallel} | ||
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The centripetal acceleration tells you how the direction of the object' | The centripetal acceleration tells you how the direction of the object' | ||
+ | ==== Video of Bowling Ball Moving in a Circle ==== | ||
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+ | In this video a bowling ball is forced to move in a circle by being struck with a sledgehammer. This video was originally collected by [[http:// | ||
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+ | {{183_notes: | ||
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+ | ==== Examples ==== | ||
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+ | * [[: |