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Q. 61

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Found in: Page 333

### Physics for Scientists and Engineers: A Strategic Approach with Modern Physics

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

See the step by step solution

## Step1: Given information

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

## Step2: Explanation

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 xCom=0
This means