a stack of seven identical aluminum blocks, each of length l = 17.1 cm
and thickness d = 1.8 cm, stacked on a table.
(a) How far to the right of the edge of the table is it possible for the right edge of the top (seventh) block to extend?
(b) What is the minimum height of a stack of these blocks for which the left edge of the top block is to the right of the right edge of the table?
I know who you are, and this is unacceptable! See me Wednesday after class.
Prof.M.N.
To solve these problems, we need to understand the dimensions and constraints involved. Let's go step by step:
(a) How far to the right of the edge of the table is it possible for the right edge of the top (seventh) block to extend?
In this case, we have a stack of seven identical aluminum blocks stacked on a table. The length of each block is 17.1 cm, and the thickness is 1.8 cm.
To determine how far the right edge of the top block can extend, we need to find the total length of the stack of blocks. Since all the blocks are identical, we can calculate it by multiplying the length of one block by the number of blocks in the stack.
Total length = 17.1 cm * 7 = 119.7 cm.
The right edge of the top (seventh) block can extend up to 119.7 cm to the right of the edge of the table.
(b) What is the minimum height of a stack of these blocks for which the left edge of the top block is to the right of the right edge of the table?
In this case, we want the left edge of the top block to be to the right of the right edge of the table. This means that at least a portion of the top block extends beyond the table.
To calculate the minimum height, we need to determine how much of the length of the top block extends beyond the table. Let's assume the table is of negligible thickness for simplicity.
The length of the block that extends beyond the table is given by the equation:
Length of extension = Total length - Length of the table
Since we know the total length is 119.7 cm, we need to determine the length of the table. If it is not given, we cannot calculate the minimum height.
Please provide the length of the table to accurately determine the minimum height of the stack of blocks.