MadSci Network: Engineering |
You know the right place to start, so let's continue with straight math. As you stated F=MxA. Let's apply this to your problem. First acceleration; acceleration in this case is a product of gravity. Assuming the dropped object is in fact dropped, and not pushed down, it is considered a free falling object. Such an object has an acceleration of 9.8 meters per second per second, or about 32 feet per second per second, downward (on Earth). Therefore, the force in this problem can be expressed as F = 1800lb x 32 feet / sec /sec However, the object is dropped from 10 feet, which means that it accelerates proportional with the amount of time it spends "in flight." As such, we express this variance as F = 1800lb x [ (32 feet/sec/sec) x time ] In this case, you would have to measure the time that this object is "in flight" to accurately calculate acceleration. Let's say, for the purpose of calculation that time (t) is equal to 2 seconds. The force could then be accurately calculated for by F = 1800lb x [ (32 feet/sec/sec) x 2) which goes to F = 1800 lb. x (64 feet/sec) and then F = 115200 ft lbs. for every second the force is applied The rest of the calculation depends on peripheral forces like drag and air resistance. The 300-lb. weight on top of the pole really doesn’t matter since it doesn’t exert any opposing force on the dropped object. These calculations probably make more sense in metric where you can use units like newtons to express force. ADMIN NOTE: Norman Parker adds The answer stated that in order to get foot-pounds from pounds, you multiply it by the acceleration of gravity. Thats the way it works with newtons, but pounds are already multiplied by gravity. The answerer is thinking of newtons = mass x gravity. The American counterpart to that is Pounds = slugs x gravity. Secondly the amount of force in the American system is in pounds, the term foot-pounds is a measurement of work, and does not correctly describe force. Sincerely, Norman L. Parker
Try the links in the MadSci Library for more information on Engineering.