- #1
Chhung
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Homework Statement
A small block of mass m is suspended from the top of a box by a mass-less string of length L. Two identical springs, each with spring constant k, extend from the block to the sides of the box, as shown in the diagram to the right. The length of the springs is such that they are not stretched when the block is in its equilibrium position.Find the equation of motion for the system, and determine the frequency of small oscillations. Briefly explain your reasoning.
Hint: Think about what the restoring force on the block would be, if springs were not there. For small x, this force is approximately proportional to x. You should make this small-x approximation, before you add the force due to the springs.
Homework Equations
F= -mgx/l
F=-kx? or F= 1/2 kx^2?
The Attempt at a Solution
so far, I got
Fnet = -kx+ (-kx) -(mgx/l)
mX= -x (kx+mg/l)
ω= √( (kx+ mg/l) /m)
f= ω/2 π
= √( (kx+ mg/l) /4π^2 m)
but they seems very wrong...