You have a large pile of identical books, all of length L. You arrange these books...

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You have a large pile of identical books, all of length L. You arrange these books in a stack where the front edge of each book extends out over the edge of the book directly below it. For a given number of books (n) in a stable configuration (not falling over), what is the maximum distance the top-most book can stick out beyond the bottom-most book as a function of the number of books, d(n) ? (represent this series in summation Σ form). Show whether this series is convergent or divergent. You have a large pile of identical books, all of length L. You arrange these books in a stack where the front edge of each book extends out over the edge of the book directly below it. For a given number of books (n) in a stable configuration (not falling over), what is the maximum distance the top-most book can stick out beyond the bottom-most book as a function of the number of books, d(n) ? (represent this series in summation Σ form). Show whether this series is convergent or divergent.

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The problem can be simplified by considering only the first book at the bottom of the stack which ha... View the full answer