To determine how much of the bolt will extend beyond the nut when drawn up tightly, we need to follow these steps:
1. Identify the dimensions involved:
- Bolt length: 1.5 inches
- Block thickness: 6 inches
- Washer thickness: 0.5 inches
- Nut thickness: 0.5 inches
2. Calculate the total thickness of the objects the bolt passes through:
- Total thickness equals the block thickness plus the washer thickness plus the nut thickness:
[tex]\[
\text{Total thickness} = \text{Block thickness} + \text{Washer thickness} + \text{Nut thickness}
\][/tex]
[tex]\[
\text{Total thickness} = 6 \, \text{inches} + 0.5 \, \text{inches} + 0.5 \, \text{inches}
\][/tex]
[tex]\[
\text{Total thickness} = 7 \, \text{inches}
\][/tex]
3. Determine the length of the bolt that will extend beyond the nut:
- We subtract the total thickness of the objects the bolt is passing through (7 inches) from the length of the bolt (1.5 inches):
[tex]\[
\text{Bolt extend length} = \text{Bolt length} - \text{Total thickness}
\][/tex]
[tex]\[
\text{Bolt extend length} = 1.5 \, \text{inches} - 7 \, \text{inches}
\][/tex]
[tex]\[
\text{Bolt extend length} = -5.5 \, \text{inches}
\][/tex]
The calculation shows that the bolt is not long enough to pass through the block, washer, and nut combined; instead, it falls short by 5.5 inches. Therefore, no part of the bolt will extend beyond the nut—in fact, the bolt would need to be 5.5 inches longer to reach beyond the nut.
