By applying F = ma, we can obtain the following second order differential equation.
mä + kx = 0
(2)
where m is the mass of the object attached to the spring and k is the spring constant.
(k > 0)
Imm
F
(a) Let X(s) = L(r(t)), r(0) = 0 and (0) = v. Find X(s) in terms of v, s, k and m.
(b) By using X(s), find a(t).
m
Fig: 1