6. Describe the motion of a particle of mass m, constrained to move on the surface of a cylinder of radius a (see figure below), directed towards the origin by a force which is proportional to the the distance of the particle from the origin. Show that particle is doing simple harmonic motion in the z- direction. Ignore the effect of gravitational force.

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6. Describe the motion of a particle of mass m, constrained to move on the surface of a
cylinder of radius a (see figure below), directed towards the origin by a force which is
proportional to the the distance of the particle from the origin. Show that particle is
doing simple harmonic motion in the z- direction. Ignore the effect of gravitational
force.
Transcribed Image Text:6. Describe the motion of a particle of mass m, constrained to move on the surface of a cylinder of radius a (see figure below), directed towards the origin by a force which is proportional to the the distance of the particle from the origin. Show that particle is doing simple harmonic motion in the z- direction. Ignore the effect of gravitational force.
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