A 2 250-kg pile driver is used to drive a steel I-beam into the ground. The pile driver falls 3.70 m before coming into

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answerhappygod
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A 2 250-kg pile driver is used to drive a steel I-beam into the ground. The pile driver falls 3.70 m before coming into

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A 2 250 Kg Pile Driver Is Used To Drive A Steel I Beam Into The Ground The Pile Driver Falls 3 70 M Before Coming Into 1
A 2 250 Kg Pile Driver Is Used To Drive A Steel I Beam Into The Ground The Pile Driver Falls 3 70 M Before Coming Into 1 (14.62 KiB) Viewed 45 times
A 2 250 Kg Pile Driver Is Used To Drive A Steel I Beam Into The Ground The Pile Driver Falls 3 70 M Before Coming Into 2
A 2 250 Kg Pile Driver Is Used To Drive A Steel I Beam Into The Ground The Pile Driver Falls 3 70 M Before Coming Into 2 (54.84 KiB) Viewed 45 times
A 2 250-kg pile driver is used to drive a steel I-beam into the ground. The pile driver falls 3.70 m before coming into contact with the top of the beam, and it drives the beam 14.3 cm farther into the ground before coming to rest. Using energy considerations, calculate the average force the beam exerts on the pile driver while the pile driver is brought to rest.

beam = my Consider the work done on the pile driver from the time it starts from rest until it comes to rest at the end of the fall. From the work-kinetic energy theorem, we have the following equation w = AK = W gravity + W - 2 mv, ? - 1 mu? Let d represent the distance over which the driver Falls freely, and let h represent the distance it moves the piling. So we know that the driver falls vertically for a total height of h + d. We also know that the pile driver starts from rest and ends at rest, that is, we know that v = V1 = 0. We have the following equations, where Fis the average force Woravity - (mg)Ch + d) cos 0 Wbcam - ()h) cos 180° The angles are 09 and 180° because the weight vector is in the direction of motion and the beam exerts a force on the driver in the opposite direction. Substituting in the equation derived from the work-kinetic energy theorem, we have (mg)th + d) -(F) h) = 0. Solving for the average force, we have the following. (mg) (htung) F = |kg 9.80 m/s) h m m * 105N The force on the pile driver is O upward. downward.
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