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 Career Counseling A Holistic Approach 8th by Vernon G Zunker 8E $70.00 Time Remaining: 29d 7h 14m Buy It Now for only: $70.00 Buy It Now |
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In Physics, how do you explain how three-fourths of a book can balance off the corner of a table?
At the corner of a table, a book is placed. It is then positioned so that about one-fourth of it still remains on top of the table, leaving three-fourths "suspended". How do you explain this? I would appreciate either an explanation or links to sites that contain even portions of the answer. Thank you.
It is all about centers of mass. Every object has a center of mass. A location about which all products of displacements from it multiplied with all masses of infinitesimal material fibers adds up to zero. You can get away with treating a bulky object as if it were a particle by paying attention to all its mass concentrated at the center of mass.
This also is coincident for just about all situations with the center of gravity (i.e. exactly the same location). The center of gravity is the point on a body about which all torques due to gravity alone add up to zero. You can use the center of gravity as an effective location at which all weight can be treated as a localized load.
What one needs to do when doing forks experiments like this...is to keep the center of mass of all objects supported by each pivot to be directly vertical with the pivot of interest.
Do realize that geometric center doesn't necessarily coincide with center of mass...unless the body of interest is perfectly uniform.
It is possible to intentionally make a body non-uniform if you wish to perform such a counter-intuitive balancing act. You can make that supported quarter of the book more dense and the hanging portion more sparse.