Rotational Energy of 3 Point Masses along a Rigid Rod

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SUMMARY

The discussion centers on calculating the kinetic energy of a system comprising three point masses on a rigid rod of length 5.61 m. Two masses, each weighing 2.1 kg, are positioned at the ends of the rod, while a central mass of 7.29 kg is located at the midpoint. The rod rotates about the y-axis at a constant angular speed of 5.38 rad/s, specifically around a point 1.28 m from one end. The distance from the axis of rotation is crucial for determining the linear speed of each mass, which directly influences their kinetic energy.

PREREQUISITES
  • Understanding of rotational dynamics and angular motion
  • Familiarity with the concepts of kinetic energy and linear speed
  • Knowledge of the moment of inertia for point masses
  • Basic proficiency in physics equations related to rotational systems
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  • Calculate the moment of inertia for the three-point mass system
  • Learn how to derive linear speed from angular speed and radius
  • Explore the relationship between rotational kinetic energy and linear kinetic energy
  • Investigate the effects of varying the axis of rotation on kinetic energy
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shenwei1988
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Three point masses lie along a rigid, massless rod of length L = 5.61 m :

- Two particles, both of mass m = 2.1 kg, lie on opposite ends of the rod.
- Mass M = 7.29 kg is in the center of the rod.

Assume the rod lies along the x-axis, and rotates about the y-axis. about a point 1.28 m from one end at constant angular speed ω = 5.38 rad/s.

Find the kinetic energy of this system



could someone explain the ( about a point 1.28m from one end) . dose the distance 1.28 contribute any Kinetic energy to the system?
thank you so much
 
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Use the distance from the axis of rotation and the angular speed to find the linear speed of each point mass. Use that to find their kinetic energy.
 

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