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Solved: A claw hammer is used to pull a nail out of a
Chapter 11, Problem 11.52(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 to the board, and a force of magnitude 400 N applied to the nail is required to pull it from the board. The hammer head contacts the board at point A, which is 0.080 m from where the nail enters the board. A horizontal force is applied to the hammer handle at a distance of 0.300 m above the board. What magnitude of force is required to apply the required 400-N force 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 to the board, and a force of magnitude 400 N applied to the nail is required to pull it from the board. The hammer head contacts the board at point A, which is 0.080 m from where the nail enters the board. A horizontal force is applied to the hammer handle at a distance of 0.300 m above the board. What magnitude of force is required to apply the required 400-N force 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,