A physics textbook lies flat on a horizontal table top. The book's front cover is facing up. If you slide the book very, very slowly toward the edge of the table (by pushing it horizontally, not by pulling it), it will eventually fall off and land on the floor. We did this experiment in one of our Class Meetings and the result was that the book most likely will end up on the floor with its front cover facing down.
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A physics textbook lies flat on a horizontal table top. The book's front cover is facing up. If you slide the book very, very slowly toward the edge of the table (by pushing it horizontally, not by pulling it), it will eventually fall off and land on the floor. We did this experiment in one of our Class Meetings and the result was that the book most likely will end up on the floor with its front cover facing down.
- Why should this outcome happen?
- How could you prevent this outcome from happening so the book will end up on the floor with its front cover facing up? Consider changing the book, table, or the sliding procedure.
- Write down a mathematical model to verify your answers to 1 and 2. Use Newton's laws and conservation methods to to help you write a model that either proves or disproves 1) and 2).
Hint 1: Assume a typical table height and a typical book size & shape.
Hint 2: The book’s motion will include contributions from translation as well as rotation; you can assume that the book’s movement starts from rest (i.e., you pushed exceedingly slowly) and that no sliding of the book over the table edge takes place; you can also neglect air drag.
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