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A nail is stuck in a floorboard so that it would take a force, Fnil 600 N applie

ID: 1787966 • Letter: A

Question

A nail is stuck in a floorboard so that it would take a force, Fnil 600 N applied straight upward at the head of the nail, to pull it out A carpenter uses a crowbar to pry the nail out, as shown in the diagram. The length of the handle is L44 cm, and the length of the forked part, which grips the nail, is L7 cm. Assume that the forked part is perfectly horizontal. The handle of the crowbar makes an angle = 63° with the horizontal, the carpenter pulls in a horizontal direction. Eventually you will be asked to find the minimum force, Fpuil, that th pull e carpenter must apply to pull the nail out 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. The line of action could be any line parallel to FDl B. To make it easier to remove the nail, the c C. The sum of the forces on the nail is not zero D. One lever arm of importance in this problem has length L cos0 E. The carpenter must apply FoulFni in order to remove the nail hould apply Froaln perpendicular to the handle Answer: Submit All Answers 17. [1pt] If a force Fpull -19 N is applied to the crowbar as shown, what is the normal force of the board on the crowbar? Answer: 18. [lpt] Submit All Answers What minimum force Fpull must the carpenter apply as show n in the diagram, to pull the nail out? wer: Submit All Answers 19.[lpt] What is the minimum force Fpu required to pull the nail out if the carpenter can apply it at any angle relative to the handle? Answer: Submit All Answers

Explanation / Answer

16) bd

17)Balancing torque about nail,

N*Ln =Fpull*Lh* sin 63 degree

N =19*0.44/0.07* sin 63 degree

= 106.4 N

18) Fnail*Ln = Fpull*Lh* sin 63 degree

Fpull = 600*0.07/(0.44*sin 63 degree)

= 107.1 N

19)Fpull = 600*0.07/(0.44) = 95.45 N

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