How Does an Impulse Affect the Motion of a Cube?

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An impulse applied to a free-floating uniform cube affects both its linear and angular motion. To analyze the cube's motion, one must calculate the velocity of the center of mass and the angular velocity, specifying the axis of rotation. The impulse of 3m will impart a linear velocity to the cube, while the inertia tensor will help determine the angular motion. Understanding these calculations is crucial for predicting the cube's behavior after the impulse. Properly applying these principles will clarify the cube's resulting motion.
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I'd be grateful if someone could help me with the problem below:

A free-floating uniform cube with sides of length 2 is at rest,
aligned with the coordinate axes, when it is subjected to an
impulse along one edge of 3m, where m is its mass. What
is the effect on its motion? (Its inertia tensor is 2/3mI)

Do I calculate the angular velocity or what? And how?

Thanks for any help.
 
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Welcome to PF!

Hi sabatier! Welcome to PF! :smile:

(how can impulse have dimensions of mass? :confused:)

You have to calculate the velocity of the centre of mass, and the angular velocity (including specfiying the axis of rotation) relative to the centre of mass. :wink:
 

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