- #1
Name15
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Homework Statement
A spring is attached to the ceiling, a pulley is attached to the other end of the spring, a string is suspended over the pulley, and a mass attached to the free end of this string. The system oscillates vertically.
Can someone PLEASE help me derive this equation for natural frequency:
f = (1/2pi) * SQRT(k / (m + m(s)/3))
where f = frequency
k= spring constant
m = mass attached to a spring
m(s) = mass of spring
Homework Equations
F=ma=-kx
mx''+kx=0
(Wn)^2 =k/m
The Attempt at a Solution
mx''=-kx
x''=-wn^2.x