How Do You Calculate Angular Momentum in a Two-Particle System?

AI Thread Summary
To calculate angular momentum in a two-particle system, first determine the speed of the center of mass and the angular speed about this center. The initial speed of mass m1, projected perpendicularly to the string, influences the system's dynamics. The linear speeds of both masses can be derived from the center of mass calculations. Additionally, considering the tension in the string can provide insights into the motion of mass m2, which follows a cycloidal path. Understanding these relationships is crucial for solving the problem effectively.
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Homework Statement



Two particle of mass m1 and m2 are connected by an inextensible and massless string of length L. The system is placed on a smooth and horizontal plane with the string being kept tight. Mass m1 is projected along a direction which is normal to the string and the speed is v0.
a). Find the speed of the center of mass of the system and the angular speed of the system about its center of mass.
b).Hence, find the linear speeds of the individual masses just after the attack.


Thank you in advance for the help!
 
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Weird question.

The answer to part b) is effectively given in the question, and is needed
to answer part a).

Why not ask for the tension in the string, and show that m2 follows a cycloid?
 

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