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.

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Chapter1: Units, Trigonometry. And Vectors
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Constants
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
L2 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.
Part A
Calculate the horizontal location of the center of mass of the three-block stack. Suppose that the origin of the horizontal r-axis is at the edge of the table, and
the x-axis points toward the table's center.
να ΑΣφ
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Transcribed Image Text:Item 5 < 5 of 23 Constants 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 L2 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. Part A Calculate the horizontal location of the center of mass of the three-block stack. Suppose that the origin of the horizontal r-axis is at the edge of the table, and the x-axis points toward the table's center. να ΑΣφ Iem = Submit Request Answer Provide Feedback Next > MacBook Air 80 888 DII DD F11 esc F10 F12 F4 F5 F6 F7 FB F9 F1 F2 F3 #3 $ & 7 8. %3D 4. delete Q W E Y U P tab * CO
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