- #1
plin
- 1
- 0
Hi, perhaps a similar thread already exists, but I was not able to find it...
Two masses m_1 and m_2 are connected by a spring with spring constant D. This setup is attached to the ceiling by a rope. We cut the rope. What happens?
The center of mass is given by z0 = (z1*m1 + z2 * m2) / (m1 + m2)
The acceleration right after cutting the rope of the upper mass m1 is given by
a1 = (1 + m2/m1)*g
And the acceleration of m2:
a2 = 0
How are the equations of motion in our center of mass system?
Find the equations of motion.
Find the frequency of harmonic oscillation.
Homework Statement
Two masses m_1 and m_2 are connected by a spring with spring constant D. This setup is attached to the ceiling by a rope. We cut the rope. What happens?
Homework Equations
The center of mass is given by z0 = (z1*m1 + z2 * m2) / (m1 + m2)
The acceleration right after cutting the rope of the upper mass m1 is given by
a1 = (1 + m2/m1)*g
And the acceleration of m2:
a2 = 0
How are the equations of motion in our center of mass system?
The Attempt at a Solution
Find the equations of motion.
Find the frequency of harmonic oscillation.