Help -Pivoting Rod about center- Me

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SUMMARY

The discussion focuses on calculating the angular acceleration and angular velocity of a uniform rod pivoted at its center with a mass attached. The rod has a length of 6.4 m and a mass of 12.1 kg, while the attached weight is 4.61 kg. The system is released from a 37° angle. Key calculations involve determining the total rotational inertia and applying principles of rotational dynamics to find the desired angular metrics.

PREREQUISITES
  • Understanding of rotational dynamics and angular motion
  • Familiarity with the concept of rotational inertia
  • Knowledge of torque and its relation to angular acceleration
  • Basic trigonometry for angle calculations
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  • Calculate the total rotational inertia of the rod and attached mass
  • Apply Newton's second law for rotation to find angular acceleration
  • Use kinematic equations for rotational motion to determine angular velocity
  • Explore the effects of different angles on angular acceleration and velocity
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Students studying physics, particularly those focusing on mechanics and rotational dynamics, as well as educators seeking to provide clear examples of angular motion calculations.

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Help! ---Pivoting Rod about center---- Please Help Me!

A uniform rod is pivoted at its center and a small weight of mass M = 4.61 kg is rigidly attached to one end. The rod has length L = 6.4 m and mass mrod = 12.1 kg. The system is released from rest at the theta = 37° angle (relative to the horizontal through the pivot point).

I NEED TO FIND The angular acceleration just after it is released and the angular velocity when the rod is vertical?

I have been working on this for the last 3 hours and I cannot get the correct answer... I would greatly appreciate a step by step explanation!

Thanks in advance!
 
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Have you considered the total rotational inertia of the rod & mass?
 

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