Prob. # 1] Figure, P1 below, shows a human body and a restraint system at the time of an automobile collision. Suggest a simple mathematical model by considering the elasticity, mass, and damping of the seat, human body, and the restraints for a vibration analysis of the system. Figure P1. Restraint Windshicld Seat belts

Prob. # 1] Figure, P1 below, shows a human body and a restraint system at the time of an automobile collision. Suggest a simple mathematical model by considering the elasticity, mass, and damping of the seat, human body, and the restraints for a vibration analysis of the system. Figure P1. Restraint Windshicld Seat belts

International Edition---engineering Mechanics: Statics, 4th Edition

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter5: Three-dimensional Equilibrium

Section: Chapter Questions

Problem 5.15P: In Sample Problem 5.5, determine Oy with one scalar equilibrium equation.

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A box that contains of a 250 kg fragile instrument is transported by a truck that is subjected to a vertical harmonic motion given by ?(?) = 0.02 sin 3?. Assume that the instrument only moves in vertical translation and is supported by four springs with stiffness, k = 500N/m as simplified in Figure Determine the maximum displacement, velocity and acceleration experienced by the instrument
Figure Q3(b) shows a uniform bar AB of mass = 8 kg hinged at point C.Point A is connected to a spring to maintain the bar in vertical direction, and thestiffness k = 500 N/m. If point A is displaced counter-clockwise by a small angleθ = 3.5 degree and released,(i) With the free body diagram and kinetic diagram, determine the initialhorizontal displacement of A. (ii) Determine the period of vibration. (iii) Determine the maximum velocity and acceleration at point A.
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Example of Vibration System Analysis. Include appropriate model and complete label for mass, damping and spring elements.
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