Question

9. (12 pts) Prove why a 10X scaling in size of an object results in a 10X scaling in stress applied to the ground by the object. -1011 m2 mi UL

Answer 1

COM To prove → FOX in size of objed- rosults in lox scaling selaing stress to the ground by the in Object. pourt. :-> let density of obyeur of object to be f which remains constant a matrial is same. 10X L2 Tch Staling bi di b2=lobi object! dz = lodi Object 2 (some material) after scaling dimension has become & After 10x to time. sealing every frea of base of objects of object 1 - A, - b, de prea base of object 2 A2 =10blod 2) =10041 2 = of Volume of object t V = bid, L Volume of objêu- 2 - Ya Va - lovo bid4 21000 V, density is constant

:):1 M2 V2 ) mi m2 1000 V, M2 = 1000m, shes on due to Ť it talan ground mig Aj stress on ground due to object 2. ба bou A2 luro mig 100 A biu al {Quereld AT ol ܝܐ 105 Paracel

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