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force by spring

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To measure the static friction coefficient between a 1.9 kg block and a vertical wall, the setup shown in the drawing is used.

A spring (spring constant = 418 N/m) is attached to the block. Someone pushes on the end of the spring in a direction perpendicular to the wall until the block does not slip downward. If the spring in such a setup is compressed by 0.070 m, what is the coefficient of static friction?

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First draw all the forces on the block. There are four forces. The gravity mg, the friction f, the normal ...

Solution Summary

It finds the coefficient of static friction between a block and a vertical wall. The solution is detailed and was rated '5/5' by the student who posted the questions originally.

See Also This Related BrainMass Solution

Potential energy of the two-spring system; force on the junction point.

The ends of two identical springs are connected. Their unstretched lengths l are negligibly small and each has spring constant k. After being connected, both springs are stretched an amount L and their free ends are anchored at y = 0 and x = +/- L as shown (see attachment). The point where the springs are connected to each other is now pulled to the position (x , y). Assume that (x , y) lies in the first quadrant.

A. What is the potential energy of the two-spring system after the point of connection has been moved to position (x , y)? Keep in mind that the unstretched length l of each spring is much less than L and can be ignored (i.e., l << L).
Express the potential in terms of k, x, y, and L.

B. Find the force F on the junction point, the point where the two springs are attached to each other.
Express F as a vector in terms of the unit vectors x and y.

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