Question

A 3 kg collar slides with frictionless along a vertical rod is shown in below Figure. The
spring is under-formed when the collar A is at the same elevation as point O. The collar is
released from rest at y1 = 0.4 m.
Determine the velocities of the collar as it first passes a) y2 = 0.0 m, and b) y3 = − 0.4m

Answer 1

(a)

Undeformed length of spring;

Initial length of spring;

Final length of spring;

Initial stretch;

Final stretch;

By energy conservation;

...(Answer)

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(b)

Undeformed length of spring;

Initial length of spring;

Final length of spring;

Initial stretch;

Final stretch;

By energy conservation;

...(Answer)