Dynamics: Angular Acceleration Problem

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SUMMARY

The discussion centers on the calculation of angular acceleration in a system involving two points, A and B, connected by a rigid rod, with a wheel rotating at a constant angular velocity. The key equations discussed include angular acceleration, α = dω/dt, and the relationship between tangential acceleration and angular acceleration, a_t = Rα. The participants clarify that when angular velocity is zero, angular acceleration is also zero, leading to a deeper exploration of the system's geometry and kinematics. Ultimately, the derived angular acceleration at time zero is confirmed to be 9 rad/sec².

PREREQUISITES
  • Understanding of angular kinematics, specifically angular acceleration and velocity.
  • Familiarity with Cartesian coordinate systems and basic geometry.
  • Knowledge of trigonometric identities and their application in physics.
  • Proficiency in calculus, particularly differentiation and integration of functions.
NEXT STEPS
  • Study the derivation of angular acceleration in rotating systems using the equation α = Rω²/Lcos(φ₀).
  • Explore the application of the Pythagorean theorem in dynamic systems involving rigid bodies.
  • Learn about the relationship between tangential and angular acceleration in rotational motion.
  • Investigate the effects of varying angular velocities on angular acceleration in complex systems.
USEFUL FOR

This discussion is beneficial for physics students, mechanical engineers, and anyone involved in the study of dynamics and rotational motion, particularly in systems involving rigid bodies and angular kinematics.

  • #31
sandmanvgc said:
##a_\text{Bx}=\omega_{B}^2R_\text{B/A} = -R_\text{B/A}\omega_B^2 = -R_\text{B/A}\omega_\text{B/A}^2 = -R_\text{B/A}(0)^2 =0?##
Think about this: Why are you singling out the x-component here? Couldn't you make the same argument for the y-component?
 

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