With the help of nippers, they bite the nail. The distance from the axis of rotation of the handles of the pliers

With the help of nippers, they bite the nail. The distance from the axis of rotation of the handles of the pliers to the nail is L1 = 1.8 cm, and from the point of application of the hand force L2 = 14 cm. The hand squeezes the pliers with a force of F2 = 160H. Determine the force acting on the nail.

L1 = 1.8 cm = 0.018 m.
L2 = 14 cm = 0.14 m.
F2 = 160 H.
F -?
The condition of equilibrium when cutting a nail with pliers is the equality of the moments of forces of the human hand F2 and the force F1, which presses on the pliers from the side of the nail.
The moment of force M is the product of the force F to the smallest distance to the axis of rotation L: M = F * L.
M1 = M2.
F1 * L1 = F2 * L2.
F1 = F2 * L2 / L1.
F1 = 160 N * 0.14 m / 0.018 m = 1245 N.
According to Newton’s 3 Law, the force F1 with which the nail presses on the nippers is equal to the force F with which the nippers press on the nail: F1 = F.
Answer: force F = 1245 N acts on the nail.



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