Q. 61

Expert-verifiedFound in: Page 333

Book edition
4th

Author(s)
Randall D. Knight

Pages
1240 pages

ISBN
9780133942651

Your task in a science contest is to stack four identical uniform bricks, each of length L, so that the top brick is as far to the right as possible without the stack falling over. Is it possible, as Figure P12.61 shows, to stack the bricks such that no part of the top brick is over the table? Answer this question by determining the maximum possible value of d.

The maximum possible value of d = 4/5 L

4 bricks with length of L each is stacked as shown in given figure.

First find the center of mass using

From the figure we see each brick is shifted d/4 rightwards, from the previous one,

so

Use these in equation (1) we get

For the stack to be stable x_{Com=0}

This means

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