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Transcribed Image Text:4. A frictionless circle of radius R is made out of a strip of metal and held fixed in
a vertical plane. A massless spring with spring constant k has one end attached
to the bottom point on the inside surface of the circle and the other end attached
to a mass m. The spring is compressed to zero length with the mass touching
the inside surface of the circle at the bottom. The spring is then released and the
mass gets pushed initially to the right and then up along the circle. The setup
at a random later time is shown in figure. Let I be the equilibrium length of the
spring. What is the minimum value of 1 for which the mass remains in contact
with the circle at all times? What is this minimum value when g = 0? Discuss
this value.
m
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