To crack a nut a force of magnitude F_n (or greater) must be applied on both sid

Question

To crack a nut a force of magnitude F_n (or greater) must be applied on both sides, as shown in the figure. (Figure 1) One can see that a nutcracker only applies this force at the point in which it contacts the nut (at a distance d from the nutcracker pivot). In this problem the nut is placed in a nutcracker and equal forces of magnitude F are applied to each end, directed perpendicular to the handle, at a distance D from the pivot. (Figure 2) The frictional forces between the nut and the nutcracker are equal and large enough that the nut doesn't shoot out of the nutcracker.

Explanation / Answer

Fn is the force acting on the nut and d is the distance of the nut from the pivot. F is the applied force at one end and D is the distance of the end from the pivot. F.D = Fn*d

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