Understanding Angular Acceleration in Rigid Bodies Pivoting on a Fixed Axis

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SUMMARY

The discussion focuses on calculating the angular acceleration of a rigid three-particle object pivoting around a fixed axis through the origin in the xy-plane. The object consists of three point masses: 2 kg at (-3, 2) m with a force of (6, 2) N, 3 kg at (6, -2) m with a force of (3, -4) N, and 1 kg at (-2, -5) m with a force of (5, 5) N. The angular acceleration is confirmed to be expressed in rad/s², emphasizing the importance of understanding angular motion principles in rigid body dynamics.

PREREQUISITES
  • Understanding of rigid body dynamics
  • Knowledge of angular motion concepts
  • Familiarity with Newton's laws of motion
  • Basic proficiency in vector forces and their applications
NEXT STEPS
  • Study the calculation of torque in rigid body systems
  • Learn about the moment of inertia for composite bodies
  • Explore the relationship between linear and angular acceleration
  • Investigate the principles of rotational dynamics in physics
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This discussion is beneficial for physics students, mechanical engineers, and anyone interested in the dynamics of rigid bodies and angular motion calculations.

alchemyacoustic
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i haven't been able to figure this one out... i have trouble following the explantion from my instructor. thanks for any help in advance

A rigid object consists of a point mass of 2 kg momentarily located at (-3, 2) m with a force of (6, 2) N acting on it, a second point mass of 3 kg momentarily at (6, -2) m with a force of (3, -4) N acting on it, and a third point mass of 1 kg momentarily at (-2, -5) m with a force of (5, 5) N acting on it. Suppose this rigid three-particle object can only rotate about an axis passing through the origin and perpendicularly the x y plane. (This means the axis also exerts forces on our rigid object.) What is the angular acceleration of our rigid object about this axis?
 
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would the answer be in rad/s squared?
 
alchemyacoustic said:
would the answer be in rad/s squared?

Yes it would. What do you know about the angular motion of rigid bodies that pivot on a fixed axis?
 

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