PHYSICS 7A Final: physics7A-sp2006-final-Lin-soln

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8 Jan 2019
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The key issue of this problem is that when there"s linear acceleration, the only choice of pivot point is the center of mass (cm). In a statistics problem, we have the freedom to choose a pivot point, but here because of the deceleration, we lose that freedom. In other words, we have to decompose the motion of the system to two parts: the translational motion of cm and the rotational motion around cm. This is important because we need to know the pivot point before we calculate all the torques: after the brakes are applied, the force diagram is as following: There"s no acceleration in the vertical directions, so i have. There"s no rotational acceleration around cm, which gives rise to. Mg: the critical condition for the overturning to happen is the normal force n2 becomes zero. The condition to prevent that from happening is.

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