Solution Found!
Answer: A claw hammer is used to pull a nail out of a
Chapter 11, Problem 52P(choose chapter or problem)
A claw hammer is used to pull a nail out of a board (Fig. P11.52). The nail is at an angle of \(60^{\circ}\) to the board, and a force \(\overrightarrow{\boldsymbol{F}}_{1}\) of magnitude 400 N applied to the nail is required to pull it from the board. The hammer head contacts the board a point A, which is 0.080 m from where the nail enters the board. A horizontal force \(\overrightarrow{\boldsymbol{F}}_{2}\) is applied to the hammer handle at a distance of 0.300 m above the board. What magnitude of force \(\overrightarrow{\boldsymbol{F}}_{2}\) is required to apply the required 400-N force (\(F_1\)) to the nail? (You can ignore the weight of the hammer.)
Questions & Answers
QUESTION:
A claw hammer is used to pull a nail out of a board (Fig. P11.52). The nail is at an angle of \(60^{\circ}\) to the board, and a force \(\overrightarrow{\boldsymbol{F}}_{1}\) of magnitude 400 N applied to the nail is required to pull it from the board. The hammer head contacts the board a point A, which is 0.080 m from where the nail enters the board. A horizontal force \(\overrightarrow{\boldsymbol{F}}_{2}\) is applied to the hammer handle at a distance of 0.300 m above the board. What magnitude of force \(\overrightarrow{\boldsymbol{F}}_{2}\) is required to apply the required 400-N force (\(F_1\)) to the nail? (You can ignore the weight of the hammer.)
ANSWER:
Step 1 of 3
Suppose, “r” is the lever arm of the force which is acting opposite to the
. The force
is exerted by the nail which is in the opposite direction of the force exerted by the hammer.
We know that, ,
and
are the forces acting on the x-y plane
So, we can write, the total moment = 0
That is,
