The position of a oscillating mass is given by , where is in . Determine:
a. The amplitude.
b. The period.
c. The spring constant.
d. The phase constant.
e. The initial conditions.
f. The maximum speed.
g. The total energy.
h. The velocity at .
The simplest mechanical oscillating system is a mass coupled to a linear spring that is subject to gravity. When the weight of the mass is balanced by the tension of the spring, the system is in equilibrium.
Substitute in (1),
The absolute velocity is the maximum speed:
Interestingly, there have been several studies using cadavers to determine the moments of inertia of human body parts, information that is important in biomechanics. In one study, the center of mass of a 5.0 kg lower leg was found to be 18 cm from the knee. When the leg was allowed to pivot at the knee and swing freely as a pendulum, the oscillation frequency was 1.6Hz . What was the moment of inertia of the lower leg about the knee joint?
94% of StudySmarter users get better grades.Sign up for free