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lecture+notes+13 - 14:440:222 Dynamics(Lecture Note#13...

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14:440:222 Dynamics (Lecture Note #13) Instructor: Prof. Peng Song Rutgers University Today’s Lecture Angular impulse and angular momentum
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Planets and most satellites move in elliptical orbits. This motion is caused by gravitational attraction forces. Since these forces act in pairs, the sum of the moments of the forces acting on the system will be zero. This means that angular momentum is conserved. If the angular momentum is constant, does it mean the linear momentum is also constant? Why or why not? Application The passengers on the amusement-park ride experience conservation of angular momentum about the axis of rotation (the z-axis). As shown on the free body diagram, the line of action of the normal force, N, passes through the z-axis and the weight’s line of action is parallel to it. Therefore, the sum of moments of these two forces about the z-axis is zero. If the passenger moves away from the z- axis, will his speed increase or decrease?
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