A nail is stuck in a floorboard so that it would take a force, F 590 N applied s

Question

A nail is stuck in a floorboard so that it would take a force, F 590 N applied straight upward at the head of the nail, to p it out. A carpenter uses a crowbar to pry the nail out, as shown in the diagram. The length of the handle is L,-46 cm, and the length of the forked part, which grips the nail, is L" = 13 cm. Assume that the forked part is perfectly horizontal. The handle of the crowbar makes an angle = 62° with the horizontal; the carpenter pulls in a horizontal direction. Eventually you wil be asked to find the minimum force, Fl that the carpenter must apply to pull the nail out. pull 16. [2pt] Select all the statements that are correct while the carpenter pulls on the crowbar but before the nail begins to move. E.g., if A and C are correct, enter AC; if no statement is correct, enter N. You only have 4 tries. A. Applying Fp parallel to the board as shown is the most effective way to remove the nail B. A possible lever arm in this problem has length L C. The sum of the forces on the nail is not zero. D. The line of action is parallel to Full and passes through the point where the carpenter's hand touches the handle. E. The carpenter must apply Foil in order to remove the nail. Submit All AnswersLast Answer: abc Answer: Incorrect, ONE try left! 17.lpt] If a force Fpul = 12 N is applied to the crowbar as shown, what is the normal force of the board on the crowbar? Answer: 18. [1pt] What minimum force Fll must the carpenter apply as shown in the diagram, to pull the nail out? Answer: 19.[1pt] What is the minimum force Fpn required to pull the nail out if the carpenter can apply it at any angle relative to the handle? Answer: Submit All Answers Submit All Answers Submit All Angwers

Explanation / Answer

a) ce

b)The normal force will be 2.64N

c)The minimum force to pull can be calculated using equation of moment

590*0.13=Fmin*0.46*sin(62)

which gives Fmin=189.04N

d)if the carpenter applies the pull at angle 90 with respect to handle then

Fmin=189.04/0.46=166.7N

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