You have three identical, uniform, square pieces of wood, each with side length L. You stack the three pieces of wood at the edge of the horizontal top of a table. The first block extends a distance L/4 past the edge of the table. The next block extends a distance L/4 past the edge of the first block, so a distance L/2 past the edge of the table. The third block extends a distance L/4 past the edge of the block beneath it, so 3L/4 past the edge of the table. The stack is unstable if the center of mass of the stack extends beyond the edge of the table. Calculate the horizontal location of the center of mass of the three-block stack.

Physics for Scientists and Engineers with Modern Physics
10th Edition
ISBN:9781337553292
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter14: Fluid Mechanics
Section: Chapter Questions
Problem 50CP
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You have three identical, uniform, square pieces of wood,
each with side length L. You stack the three pieces of wood at the edge
of the horizontal top of a table. The first block extends a distance L/4
past the edge of the table. The next block extends a distance L/4 past the
edge of the first block, so a distance L/2 past the edge of the table. The
third block extends a distance L/4 past the edge of the block beneath it,
so 3L/4 past the edge of the table. The stack is unstable if the center of
mass of the stack extends beyond the edge of the table. Calculate the
horizontal location of the center of mass of the three-block stack.

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