(a)
The mathematical proof of the statement stating that "If cn is the centre of mass of the first n identical books of mass m and unit length placed one above the other in a stack, measured along x-axis and if (n+1)st book is placed with its right edge at cn, then its centre of mass is located at cn +1/2."
(b)
The mathematical proof of the statement stating that "If cn is the centre of mass of the first n identical books considered as a single object of mass mn placed one above the other in a stack, and if (n+1)st book considered as a second object is placed with its right edge at cn, then ."
(c)
The mathematical proof of which implies that the stack of books can be extended as far as desired without tipping over.
Want to see the full answer?
Check out a sample textbook solutionChapter 10 Solutions
Applied Calculus (with Infotrac) 3rd Edition By Waner, Stefan; Costenoble, Steven Published By Brooks Cole Hardcover
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning