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Solved: What is the mechanical advantage of a nail
Chapter 9, Problem 19(choose chapter or problem)
Problem 19PE
What is the mechanical advantage of a nail puller—similar to the one shown in Figure 9.23 —where you exert a force 45 cm from the pivot and the nail is 1.8 cm on the other side? What minimum force must you exert to apply a force of 1250 N to the nail?
Questions & Answers
QUESTION:
Problem 19PE
What is the mechanical advantage of a nail puller—similar to the one shown in Figure 9.23 —where you exert a force 45 cm from the pivot and the nail is 1.8 cm on the other side? What minimum force must you exert to apply a force of 1250 N to the nail?
ANSWER:
Solution 19PE
For a simple machine, the ratio of the output to the input force is defined as the mechanical advantage (MA).
Mathematically, ,
is the output force and
is the input force.
If and
are the distances of
and
from the pivot,
Then,
Step 1 of 2
Given data:
cm
cm
Therefore, cm/cm
Therefore, the mechanical advantage of the nail puller is 25.