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Problem 14-2: Engineering Mechanics- Dynamics (Hibbeler 14th Edition)

Engineering Mechanics Dynamics · R.C. Hibbeler · Chapter 14

Course: Engineering Mechanics Dynamics Book: R.C. Hibbeler Chapter: Chapter 14

Question

Question:
A barrel barrier is placed in front of a bridge pier. The force-deflection relation of the barrier is F equals 90 times 10 to the 3rd power, times x to the one-half power, in pounds, where x is in feet. A car weighing 4000 pounds is traveling at 75 feet per second just before it hits the barrier. Determine the car's maximum penetration into the barrier.

Problem 14-2: Engineering Mechanics- Dynamics (Hibbeler 14th Edition)

This lesson applies the Principle of Work and Energy to find the maximum deflection of a nonlinear barrier struck by a moving vehicle. Students integrate a variable force–deflection relationship and set the resulting work equal to the initial kinetic energy to solve for the unknown penetration depth.

In this lesson, you will learn to:
• Apply the Work–Energy Theorem to a particle brought to rest by a variable force
• Integrate a power-law force function to

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