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CHAPTER 2 Mechanical Forces
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Fig. 2-12.
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Acceleration.
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seconds of the fall: d a t2 2 2-3
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FORCE: F
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Pounds force: lbf Newtons: N kg m/s2 Generally speaking, force equals mass times acceleration, F m a. Note that this is the mass m and not the meters m. Just a few de nitions into the list of physical formulas and we already nd another meaning for pounds: pounds as a pushing force, the force of whacking a nail with a hammer. The pound is de nitely overused and will be ignored here. From this point forward, we will abandon the Imperial units and talk only in terms of SI units. Let s talk about Newtons, and not the ggy kind. The SI unit of force is named after Isaac Newton. Newton s second and third laws of motion relate to the force applied to an object. Newton s second law is:
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Change of motion takes place in the direction of the impressed force, and is proportional to it.
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CHAPTER 2 Mechanical Forces
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Or, when you push on something, it moves in the direction of the push. How much your push changes the object s motion depends on how hard you push. Newton s third law of motion is:
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Action and reaction are equal, and in contrary directions.
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So when you push on an object, such as a bowling ball or marble, you feel an equal force pushing back at you from the object. A Newton is practical acceleration. Pure acceleration is a bit too abstract for solid objects. Sure, gravity can get away with accelerating everything like magic. But when you push on it, a LEGO brick moves di erently than a car. To get the same velocity out of the car, you have to push it a lot harder than the plastic brick. The di erence lies in the mass of the object. The more mass, the harder you have to push it to accelerate it at the same rate as the lighter object. As far as acceleration is concerned, it doesn t matter how hard you had to push to get to a speed. But your muscles care. The Newton measures how hard and how long you have to push to get an object moving to a certain speed, or to get it to stop moving. It measures force. The other side of force is how much energy a moving ball, for example, transmits to your head when it hits you. (Kids, don t try this at home. No, not even with your kid brother.) A sponge ball traveling at 10 meters per second won t hurt much. A baseball, with more mass than sponge, thrown at the same speed, will hurt. A lot. It s not just the speed and mass of the object that matters. It s how hard your head had to push against it to accelerate it in the opposite direction and stop it. Not only that, but how quickly your head stops the ball makes a big di erence. Being a bit more sensible about catching baseballs, let s use a baseball mitt. If someone throws the ball at you and you hold your hand sti y so it doesn t move, the ball will stop quickly and it will hurt. If you let your hand travel with the ball a bit, cushioning the blow with the motion, it s much less painful. In the rst case, you reverse-accelerate (decelerate) the ball all at once, which requires a lot of force in a small amount of time. In the less painful catch, the same total amount of force is needed, but since it is spread out over more time there isn t as much force during each moment. It s like the di erence between the pain of pushing the sharp end of a thumb tack into your nger and what you feel from the at end on the nger doing the pushing. Deceleration is just acceleration, but in the opposite direction of an object s current direction of travel.
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