66. A particle is attached between two identical springs on a

horizontal frictionless table. Both springs have spring

constant k and are initially unstressed. (a) If the particle

is pulled a distance x along a direction perpendicular to

the initial conﬁguration of the springs, as in Figure

P7.66, show that the force exerted on the particle by the

springs is

(b) Determine the amount of work done by this force

in moving the particle from x A to x 0.

F 2kx

1 L

√x2 L2 i

horizontal frictionless table. Both springs have spring

constant k and are initially unstressed. (a) If the particle

is pulled a distance x along a direction perpendicular to

the initial conﬁguration of the springs, as in Figure

P7.66, show that the force exerted on the particle by the

springs is

(b) Determine the amount of work done by this force

in moving the particle from x A to x 0.

F 2kx

1 L

√x2 L2 i

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