A system composed of a single 5kg mass connected to a spring with a spring constant of 45 N/m.
a) How much force is necessary to displace the mass of a distance of 50cm to the right?
b) If the mass is displaced a distance (50cm) and then released, what is the frequency of the resulting oscillation?
c) Find an expression for the resulting oscillations x(t) using initial conditions to solve for the amplitude and initial phase.
50 cm = 0.5 m
a) Force required is

b) The angular frequency is

The frequency is

c) The expression for x(t) is

The amplitude is A = 0.5 m
At t = 0, x = 0.5 m, Hence the phase is zero

The unit is meters(m)
A system composed of a single 5kg mass connected to a spring with a spring constant...
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A pendulum of length
L
and mass
M
has a spring of force constant
k
connected to it at a distance
h
below its point of suspension (as shown in the following figure).
Find the frequency of vibration of the system for small values of
the amplitude (small
?).
Assume that the vertical suspension of length
L
is rigid, but ignore its mass. (Use any variable or symbol stated
above along with the following as necessary:
g
and
?.)
f...