The structure of a football goal is shown in the figure below. The bending motion of the structure canbe represented by a flexible cantilever beam with tip mass MT as shown in the figure. The tip massMfrepresents the mass of the horizontal crossbar which is assumed to be rigid in this motion. A singlevertical straight beam having mass of MH, shown in the figure below, is the equivalent model for thetwo symmetrical vertical posts. A soccer ball of mass M, hits the horizontal crossbar with the velocityof Vp.x (t)м,UYINGLI SOLARNGL LAF The response of the horizontal crossbar, mass M, is shown by x(t) in the figure. The vertical beam has acircular cross section of radius r, Young's modulus E and length L. For numerical calculations, use M7 =%3D7.9108 kg, MH = 22.0542 kg, M, = 0.9909 kg, V½ = 5.9645 m/s, L = 2.4468 m, E = 77.7443 GPa and r =0.0749 m. For circular cross-section / = n/4.Considering zero damping and the numerical data given= TTabove, obtain the maximum amplitude of response x(t) after it was hit by soccer ball Mp.3.8491 mm4.7691 mm0.7225 mm2.5990 mm1.5282 mm

Write the expression of conservation of energy. Write the expression of conservation of momentum.…

Answered: The structure of a football goal is…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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