Angular Momentum: Solving Homework Problem

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SUMMARY

The discussion focuses on solving an angular momentum problem involving a uniform thin rod and a sliding block. The rod has a mass of 2.74 kg and a length of 0.934 m, while the block has a mass of 0.621 kg and moves at a speed of 4.1 m/s before colliding with the rod. The collision occurs at a distance of 0.11 m below the center of mass of the rod. The conservation of angular momentum is applied to determine the final speed of the center of mass of the rod after the collision, but the initial attempt at the solution is flawed due to incorrect dimensions in the equations used.

PREREQUISITES
  • Understanding of angular momentum conservation principles
  • Familiarity with the concept of center of mass
  • Knowledge of basic physics equations related to collisions
  • Ability to perform dimensional analysis for physical equations
NEXT STEPS
  • Review the principles of angular momentum conservation in collisions
  • Study the calculation of center of mass for composite systems
  • Learn about the implications of elastic vs. inelastic collisions
  • Practice dimensional analysis to verify the correctness of physical equations
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Students studying physics, particularly those focusing on mechanics and angular momentum, as well as educators seeking to clarify concepts related to collisions and motion on frictionless surfaces.

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Homework Statement


A uniform thin rod (mass 2.74 kg, length 0.934 m) lies motionless on a frictionless, horizontal table. The rod is free to move in any direction on the table. A small block (a point particle of mass = 0.621 kg) slides across the table, moving at right angles to the rod, at speed 4.1 m/s. The block strikes the rod at a distance of 0.11 m below the center of mass, and stops. Assume the block does not stick to the rod

Homework Equations


vf, the speed of the center of mass of the rod after the collision


The Attempt at a Solution


I used the conservation of angular momentum:
mv=MV;
mvx=Iw: distance between the point of collison and the center of mass
then solve for V. But it does not seem to give me the right solution.
 
Last edited:
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Your equations don't even have the correct dimensions.
 

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