Let
A = the amplitude of vibration
k = the spring constant
m = the mass of the object
The displacement at time, t, is of the form
x(t) = A cos(ωt)
where
ω = the circular frequency.
The velocity is
v(t) = -ωA sin(ωt)
The maximum velocity occurs when the sin function is either 1 or -1.
Therefore
Therefore
The KE (kinetic energy) is given by
The PE (potential energy) is given by
When the KE and PE are equal, then
For the oscillating spring,
Therefore
Answer:
A = the amplitude of vibration
k = the spring constant
m = the mass of the object
The displacement at time, t, is of the form
x(t) = A cos(ωt)
where
ω = the circular frequency.
The velocity is
v(t) = -ωA sin(ωt)
The maximum velocity occurs when the sin function is either 1 or -1.
Therefore
Therefore
The KE (kinetic energy) is given by
The PE (potential energy) is given by
When the KE and PE are equal, then
For the oscillating spring,
Therefore
Answer:
