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MT-1620 al.2002 For easier relation to the structural configuration (which will later be made), draw this as a rolling cart of mass attached to a wall by a spring Figure 19.10 Alternate representation of spring- mass system Forcellength →Ft The mass is subjected to some force which is a function of time The position of the mass is defined by the parameter g Both F and g are defined positive in the positive x-direction Static equation F= kq What must be added in the dynamic case? Inertial load(s)=-mass x acceleration In this case inertial load =-mq Paul A Lagace @2001 Unit 19-10MIT - 16.20 Fall, 2002 For easier relation to the structural configuration (which will later be made), draw this as a rolling cart of mass attached to a wall by a spring: Figure 19.10 Alternate representation of spring-mass system [Force/length] k • The mass is subjected to some force which is a function of time • The position of the mass is defined by the parameter q • Both F and q are defined positive in the positive x-direction Static equation: F = kq • What must be added in the dynamic case? Inertial load(s) = - mass x acceleration In this case: inertial load = − m q˙˙ Paul A. Lagace © 2001 Unit 19 - 10
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