A close-coiled helical spring is manufactured from 7-mm-diameter steel wire with 45 coils. The mean coil diameter is 48 mm. The spring hangs vertically and is fixed at the top. A mass of 20 kg falls through a height of 40 mm before engaging with a collar at the lower end of the spring. Calculate (a) the maximum extension of the spring; (b) the maximum stress in the wire (G = 80 GPa).

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter2: Axially Loaded Members
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A close-coiled helical spring is manufactured from 7-mm-diameter steel wire
with 45 coils. The mean coil diameter is 48 mm. The spring hangs vertically
and is fixed at the top. A mass of 20 kg falls through a height of 40 mm before
engaging with a collar at the lower end of the spring. Calculate (a) the
maximum extension of the spring; (b) the maximum stress in the wire (G =
80 GPa).

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