Ch. 10 Simple Harmonic Motion
10.1 The Spring Force
Probably all of you have some familiarity with a
spring.
If you push on a spring, it pushes back.
If
ll
i
it
ll
b
k
If you pull on a spring it pulls back.
And the harder you push or pull on the spring, the harder the spring pushes or
pulls back.
If you’re careful not to pull too hard, then you will find the following to be true:
x
F
Applied
∝
In words, the force you apply to the spring is directly proportional to the spring’s
displacement (i.e. how far it stretches or compresses).
We can make this proportionality an equality by multiplying the right side by a
We can make this proportionality an equality by multiplying the right side by a
constant:
kx
F
Applied
=
The proportionality constant,
k
, is called the
spring constant
.
The proportionality constant,
, is called the
Units?
[Force]/[Displacement]
= [N/m]

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