4. A particle of mass m slides without friction along a wire bent into the shape of a circular helix whose equation is z=a0, r=R, where r, 0, and z are the usual cylindrical coordinates, and a is a constant. The particle is attracted to the origin with a force equal to k times the distance from the origin. Write and solve the equation of motion, using the constrains to reduce the problem to one involving a single variable.
4. A particle of mass m slides without friction along a wire bent into the shape of a circular helix whose equation is z=a0, r=R, where r, 0, and z are the usual cylindrical coordinates, and a is a constant. The particle is attracted to the origin with a force equal to k times the distance from the origin. Write and solve the equation of motion, using the constrains to reduce the problem to one involving a single variable.
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![4. A particle of mass m slides without friction along a wire bent into the shape of a
circular helix whose equation is z=a0, r=R, where r, 0, and z are the usual cylindrical
coordinates, and a is a constant. The particle is attracted to the origin with a force
equal to k times the distance from the origin. Write and solve the equation of motion,
using the constrains to reduce the problem to one involving a single variable.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0d2fdd51-a813-4b36-89e9-f9581acfc2ee%2F011b041a-24c5-4f03-8429-d6cf07595bd6%2F9sixs8o_processed.jpeg&w=3840&q=75)
Transcribed Image Text:4. A particle of mass m slides without friction along a wire bent into the shape of a
circular helix whose equation is z=a0, r=R, where r, 0, and z are the usual cylindrical
coordinates, and a is a constant. The particle is attracted to the origin with a force
equal to k times the distance from the origin. Write and solve the equation of motion,
using the constrains to reduce the problem to one involving a single variable.
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