(a) The particle is pulled a distance x along a direction perpendicular to the i

Question

(a) The particle is pulled a distance x along a direction perpendicular to the initial configuration of the springs as shown in the figure. Show that the force exerted by the springs on the particle is

F=-2kx(1-L/?(x^2+L^2 ))i

(b) Show that the potential energy of the system is given by the following equation. (Do this on paper. Your instructor may ask you to turn in this work.)

U(x)=(kx^2)+2kL(L-Square root (x^2+L^2))

(c) Make a plot ofU(x) versusxand identify all equilibrium points. AssumeL= 1.20m andk= 40.0N/m.

(d) If the particle is pulled 0.500 m to the right and then released, what is its speed when it reaches the equilibrium pointx= 0?
m/s

Explanation / Answer

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