Spring with 2 masses rotating and vibrating

In summary, an object consisting of two balls connected by a spring with a stiffness of 400N/m is thrown through the air, rotating and vibrating as it moves. At a particular instant, the spring is stretched 0.3m and the two balls have masses and velocities of m1=1.4kg v1=<5.5,-5.5,0> and m2=3.4kg v2=<-13.5,8,0>. The problem asks for the x and y components of the velocity of the center of mass and the total kinetic energy. The relevant equations are Ktot=Ktrans+Krel, Psys=M(total)V(cm), U=1/2kx^2
  • #1
ross0523
1
0

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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  • #2
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.
 

Related to Spring with 2 masses rotating and vibrating

What is the concept of "Spring with 2 masses rotating and vibrating"?

The concept of "Spring with 2 masses rotating and vibrating" refers to a system where two masses are connected by a spring and are rotating and vibrating together due to an external force.

How does the rotation of the masses affect the spring system?

The rotation of the masses in the spring system causes the spring to stretch and compress at different rates, resulting in changes in the amplitude and frequency of the system's vibration.

What factors influence the behavior of the spring system?

The behavior of the spring system is influenced by the masses of the objects, the stiffness of the spring, the distance between the masses, and the external force applied to the system.

What is the difference between the natural frequency and the forced frequency of the spring system?

The natural frequency of the spring system is the frequency at which the system vibrates without an external force. The forced frequency is the frequency at which the system vibrates when an external force is applied.

How can the vibrations of the spring system be controlled?

The vibrations of the spring system can be controlled by adjusting the masses, stiffness of the spring, and the external force applied to the system. Additionally, damping can be added to reduce the amplitude of the vibrations.

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