Rotational inertia of a rod that has mass on one end

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SUMMARY

The discussion focuses on calculating the rotational inertia of a system consisting of a metal rod and a mass at one end. The rod has a mass of 2 kg and a length of 4 meters, while the mass at the end is 3 kg. The rotational inertia of the rod is calculated using the formula I = (ML²)/3, resulting in a value of 10.6 kg·m². To find the total rotational inertia of the system, the inertia of the mass at the end must be added, which is determined by treating it as a point mass at a distance from the pivot.

PREREQUISITES
  • Understanding of rotational inertia and its significance in physics
  • Familiarity with the formula I = (ML²)/3 for rods
  • Knowledge of point mass inertia calculations
  • Basic principles of pivot points and rotational dynamics
NEXT STEPS
  • Calculate the rotational inertia of a point mass using I = m*r²
  • Explore the concept of composite systems in rotational dynamics
  • Learn about the parallel axis theorem for calculating inertia
  • Investigate real-world applications of rotational inertia in engineering
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Students studying physics, particularly those focusing on mechanics and rotational dynamics, as well as educators seeking to explain the principles of rotational inertia in practical scenarios.

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Homework Statement


a 3 kg mass is on the end of a metal rod which is pivoted at one end. the mass of the rod is 2kg its length is 4 meters

Homework Equations


I=(ML^2)/3

The Attempt at a Solution


the rotational inertia of the rod itself is 10.6 but i don't know how the 3kg mass at the end would effect things
 
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xd14 said:

Homework Statement


a 3 kg mass is on the end of a metal rod which is pivoted at one end. the mass of the rod is 2kg its length is 4 meters

Homework Equations


I=(ML^2)/3

The Attempt at a Solution


the rotational inertia of the rod itself is 10.6 but i don't know how the 3kg mass at the end would effect things
Assuming the mass at the end has negligible size , what is the I of a particle of mass m about a pivot point , and then note the I of the rod-mass system is the sum of the I's of its parts.
 

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