A thin rod of mass M and length l is suspended vertically from a frictionless pivot at its upper end. A mass m of putty traveling horizontally with a speed v strikes the rod at its CM and sticks there.
Can someone explain to me why the intial angular momentum is what it is?



Answer :

The reason for the initial angular momentum is law of conservation of momentum and its value is constant.

  • The velocity of the center of mass of an isolated system is constant. This means that if an isolated system is initially at rest, it will remain stationary, and if it is initially in motion, it will move with the same velocity. , depending on the mass distribution.
  • The object's centroid need not be inside the object.
  • For a symmetrical body with uniform mass distribution, the centroid coincides with the geometric center of the body.
  • The position of the object's center of gravity changes during translation, but remains the same during rotation.

To study more about center of mass -

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