4/80 The figure represents an idealized one-dimensional structure of uniform mass p per unit length moving horizontally

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4 80 The Figure Represents An Idealized One Dimensional Structure Of Uniform Mass P Per Unit Length Moving Horizontally 1 (208.1 KiB) Viewed 17 times

4/80 The figure represents an idealized one-dimensional structure of uniform mass p per unit length moving horizontally with a velocity vo when its front end col- lides with an immovable barrier and crushes. The force F required to initiate and maintain an accor- dionlike deformation is constant. Neglect the length b of the collapsed portion of the structure compared with the movement of s of the undeformed portion following the impact. The undeformed part may be viewed as a body of decreasing mass. Derive the dif- ferential equation which relates F to s, s, and s by using Eq. 4/20 carefully. Check your expression by applying Eq. 4/6 to both parts together as a system of constant mass. VO L b L-s F- Problem 4/80 S