Question

A 2 400-kg pile driver is used to drive a steel I-beam into the ground. The pile driver falls 3.80 m before coming into contact with the top of the beam, and it drives the beam 15.4 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. magnitude direction --Select-- 1

Answer 1

Concept - use work energy theorem to find the required force exerted by beam on the driver as shown below***********************************************************************************************
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for pile driver, 1. Wg + Fd = AKE » mg(htd) + Fd = 0 {kEi=0 ZkEf =0 =) (240019)g (3.8m + d) + Fd =0 1. d=0-154 m = F = -6.04X 105 N So, magnitude = 16.04X 105) direction (upward