Spring with 2 masses rotating and vibrating

AI Thread Summary
The discussion revolves around a physics problem involving two masses connected by a spring, with specific parameters provided for their masses, velocities, and spring stiffness. Participants are tasked with calculating the center of mass velocity components and the total kinetic energy of the system. The equations for kinetic energy, potential energy, and center of mass are referenced, but initial attempts to solve the problem have been unsuccessful. Clarification is sought on the methodology used to approach the calculations. The thread emphasizes the need for detailed work to understand the solution process.
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Homework Statement



Consider an object consisting of two balls connected by a spring, whose stiffness is 400N/m.
The object has been thrown through the air
and is rotating and vibrating as it moves. At
a particular instant the spring is stretched
0.3m, and the two balls at the ends of the
spring have the following masses and velocities:

m1= 1.4kg v1= <5.5, -5.5, 0>
m2=3.4 kg v2=<-13.5, 8, 0>

What is x and y components of V(center mass)?
What is K total=?


Homework Equations


Ktot= K trans + K rel
Psys= M(total)V(cm)
U=1/2 kx^2
Ke=1/2 mv^2
Ke= 1/2 I w^2


3. The Attempt at a Solution :

I tried to just solve for center of mass and apply x and y velcoities but it didnt work.
 
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ross0523 said:

Homework Statement



Consider an object consisting of two balls connected by a spring, whose stiffness is 400N/m.
The object has been thrown through the air
and is rotating and vibrating as it moves. At
a particular instant the spring is stretched
0.3m, and the two balls at the ends of the
spring have the following masses and velocities:

m1= 1.4kg v1= <5.5, -5.5, 0>
m2=3.4 kg v2=<-13.5, 8, 0>

What is x and y components of V(center mass)?
What is K total=?


Homework Equations


Ktot= K trans + K rel
Psys= M(total)V(cm)
U=1/2 kx^2
Ke=1/2 mv^2
Ke= 1/2 I w^2


3. The Attempt at a Solution :

I tried to just solve for center of mass and apply x and y velcoities but it didnt work.

What is that supposed to mean? Show your work.
 
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