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# 13\.1 Hooke's Law
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one of the simplest types of vibrational motion
that of an object attached to spring
1 / 27
1 / 27
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Terms in this set (27)
one of the simplest types of vibrational motion
that of an object attached to spring
on frictionless horizontal surface
IS THE ASSUMPTION
spring is stretched or compressed a small distance x from its unstretched or equilibrium position
then released and exerts a force on the object
Hooke's Law formula
\*x is displacement of object from its equilibrium position (x=0)
\*k is the positive constant called spring constant

value of k
measure of stiffness of spring
stiff springs
large k values
soft springs
small k values
(-) sign in Hooke's Law formula
means the force exerted by spring is always directed opposite in the displacement of the object
\*when x is positive (the spring is stretched) , the spring force is to the left
\*when x is negative (the spring is compressed), the spring force is to the right
\*when x is 0 (the spring is compressed) and the spring force is zero

spring force always acts toward the equilibrium position
it is sometimes called a restoring force
restoring force
always pushes or pulls the
object toward the equilibrium position
As the object moves toward x= 0
the magnitude of the force decreases (because x decreases) and reaches zero at x =0.
The object gains speed as it moves toward the equilibrium position
however, reaching its
maximum speed when x = 0.
momentum gained by the object causes it to overshoot the equilibrium position
and results in compressing the spring
As the object moves to the left of the equilibrium position (negative x-values)
spring force acts on it to the right, steadily increasing in strength, and the speed of the object decreases.
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