When two springs in series, with constants k1 and k2 respectively, support a mass, the effective spring constant is calculated as: k = k1*k2 / k1+k2 A 420 g object stretches a spring 7 cm, and that same object stretches 2.8 cm another spring. Both springs are attached to a common rigid support and then to a metal plate, as shown in the figure of springs in series. Then the object joins the center of the plate (figure of springs in series). Determine: (a) the effective spring constant. (b) the position of the object at any time t, if the object is initially released from a point 60 cm below the position of equilibrium and with an upward velocity of 1.2 m / s. Consider the acceleration of gravity as 9.8 m / s2.
Differential equation
THE LAPLACE METHOD CANNOT BE USED.
When two springs in series, with constants k1 and k2 respectively,
support a mass, the effective spring constant is calculated as:
k = k1*k2 / k1+k2
A 420 g object stretches a spring 7 cm, and that same object stretches 2.8 cm
another spring. Both springs are attached to a common rigid support and then to
a metal plate, as shown in the figure of springs in series. Then the object joins the
center of the plate (figure of springs in series). Determine:
(a) the effective spring constant.
(b) the position of the object at any time t, if the object is initially released
from a point 60 cm below the position of
equilibrium and with an upward velocity of 1.2 m / s.
Consider the acceleration of gravity as 9.8 m / s2.
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