Elastic Collision & Angular Monentum Transfer

Additionally, the gimbal stop acts as a barrier to prevent the rotating mass from contacting the wall, allowing for a more controlled and precise motion. In summary, the conversation discusses using a 3DOF gyro with massless bearings and gimbals that is enclosed in a cylinder to calculate rotor velocities after a collision. The gimbal stop serves as a barrier to prevent the rotating mass from contacting the wall, allowing for a more controlled and precise motion. The inertia tensors can be used to calculate the angular momentum and conservation of momentum can be applied to determine the final velocities of the gyro and cylinder.
  • #1
MikeO
4
0
I have a 3DOF gryo with massless bearings and gimbals that is enclosed in case or cylinder. The cylinder will limit the range of motion of the gyro. Please see the pictures.

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I am trying calculate rotor velocities in pitch and yaw after a collision with the cylinder wall. The rotating mass never touches the wall, just the non-rotating obect at then end of the axel. In fact, it is there to keep the spinning mass from contacting the wall. Let's call it a gimbal stop. In this example, the gimbal stop can precess into the wall or the cylinder can rotate into the gimbal stop. I have the inertia tensors for the cylinder and the rotor. Is this a case of total kinetic energery before and after collision? (same with momentum) ??
 
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  • #2
Yes, this is a case of total kinetic energy before and after the collision. You can use the inertia tensors to calculate the angular momentum of each object before and after the collision, then use conservation of momentum to determine the final velocities of the gyro and cylinder.
 

1. What is an elastic collision?

An elastic collision is a type of collision between two objects where there is no loss of kinetic energy. This means that the total kinetic energy before the collision is equal to the total kinetic energy after the collision.

2. How is angular momentum transferred during an elastic collision?

Angular momentum is transferred during an elastic collision through the exchange of momentum between the two objects. As the objects collide, they apply forces on each other, causing a change in their angular momentum.

3. What is the difference between elastic and inelastic collisions?

In an elastic collision, there is no loss of kinetic energy, while in an inelastic collision, some of the kinetic energy is converted into other forms of energy, such as heat or sound. Inelastic collisions also do not conserve momentum, while elastic collisions do.

4. How does the mass and velocity of the objects affect the outcome of an elastic collision?

The mass and velocity of the objects play a crucial role in determining the outcome of an elastic collision. The greater the mass of an object, the more force it will exert on another object during a collision. Similarly, the greater the velocity of an object, the more momentum it will transfer to the other object during a collision.

5. Can angular momentum be conserved during an inelastic collision?

No, angular momentum is not conserved during an inelastic collision since there is a loss of kinetic energy. However, the total momentum of the system is still conserved, meaning that the sum of the linear and angular momenta of the objects before the collision is equal to the sum of their momenta after the collision.

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