Mechanical Springs
Consider a helical compression spring has a free length of 200 mm and a spring constant of 40 N/mm. What force is required to compress the spring to a length of 100 mm?
Expand Hint
The force in a spring is:
$$$F_s=k\delta $$$
where
$$k$$
is the spring constant, and
$$\delta$$
is the change in spring length from the un-deformed spring length.
Hint 2
$$$\delta=free\:length-compressed\:length$$$
The force in a spring is:
$$$F_s=k\delta $$$
where
$$k$$
is the spring constant, and
$$\delta$$
is the change in spring length from the un-deformed spring length. Since
$$\delta=free\:length-compressed\:length=200mm-100mm=100\:mm$$
, the required force is:
$$$F_s=(40\frac{N}{mm})(100mm)=4,000\:N$$$
4,000 N
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