You\'re going to open the door further by giving it a brief, hardTOP-DOWN VIEW p

Question

You're going to open the door further by giving it a brief, hardTOP-DOWN VIEW push. First, you'l push the door at its center. Then, you'l push it Looking at the to of the door, from the ceiling) near the door knob. Both pushes are equally hard, and last the same length of time. And in both cases you direct your push perpendicular to the plane of the door. (a) Which push will give the door more rotational motion? push push 2 Is your answer to part (a) true because the door has less rotational inertia during push 2 than it has during push 1? Or is it for another reason? Explain. (b)

Explanation / Answer

Torque = Force x perpendicular distance

so if we look at the above figure, we can see that distance from hinge is more for push 2 rather than push 1,.

even though the magnitude of the force is same in both cases, therefore push 2 will give more rotational motion than push 1,

2) When the force is applied to a center of the door, the force spreads uniformly in both direction, while if it's applied at the corner , than one side will contribute more to the moment of inertia than the other side, causing the rotational motion.

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