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A cleaning person tries to move a heavy, old bookcase on a carpeted floor by pushing...

A cleaning person tries to move a heavy, old bookcase on a carpeted floor by pushing tangentially on the surface of the very top shelf. However, the only noticeable effect of this effort is similar to that seen below, and it disappears when the person stops pushing. The book case is 180.0cm tall and 90.0cm wide with four 30.0cm deep shelves, all partially loaded with books. the total weight of the book case and books is 600.0N. If the person gives the top shelf a 50.0N push that displaces the top shelf horizontally by 15.0cm relative to the motionless bottom shelf, find the shear modulus of the bookcase

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