A particle of mass m 5 1.18 kg is attached betweentwo identical springs on a
Chapter 7, Problem 66(choose chapter or problem)
A particle of mass m 5 1.18 kg is attached betweentwo identical springs on a frictionless, horizontaltabletop. Both springs have spring constant k andare initially unstressed, and the particle is at x 5 0.(a) The particle is pulled a distance x along a directionperpendicular to the initial configuration of thesprings as shown in Figure P7.66. Show that the forceexerted by the springs on the particle isF S5 22kx a1 2L"x2 1 L2b i (b) Show that the potential energy of the system isU 1x2 5 kx2 1 2kL1L 2 "x2 1 L2 2(c) Make a plot of U(x)versus x and identifyall equilibrium points.Assume L 5 1.20 m andk 5 40.0 N/m. (d) Ifthe particle is pulled0.500 m to the rightand then released,what is its speed whenit reaches x 5 0?
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