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.
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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F93416949-eb4f-4ad0-beef-22dabee1d4b5%2Fb52d5056-5da7-4fcc-9da4-d7eb445751cb%2Fsda0esr_processed.png&w=3840&q=75)
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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