Angular Velocity of a pivoting rod

AI Thread Summary
A uniform rod of 5.8m, weighing 10kg, is pivoted at its center with a 5.15kg weight attached at one end, held at a 37-degree angle before being released. The angular acceleration at the release point is calculated to be 1.6295. The attempt to find the angular velocity when the rod is vertical involves using kinematic equations, but the calculations seem incorrect. There is confusion regarding the application of conservation of energy and the role of mass and moment of inertia in the calculations. Clarification on these concepts is necessary to accurately determine the angular velocity.
TG3
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Homework Statement


A uniform rod 5.8m long weighing 10kg is pivoted at its center and a small weight of mass 5.15 kg is rigidly attached to one end. You may neglect the size of the weight and assume it is located right at the end of the rod. It is held at a 37 degree angle at rest, then released.
What is the angular velocity when the rod is vertical?

Homework Equations


After some work, I earlier solved that angular acceleration at it's release point is 1.6295 Don't know if that will be needed or not...
Angular Velocity = Tangential Velocity /R
VF^2 = VI^2 + 2A (X1-Xf)

The Attempt at a Solution


I dared to hope I could do this on my first try, but was disappointed. (Again.)
5.8/2 = 2.9, so radius = 2.9
sin37 2.9 = 1.745
2.9-1.745 =1.1547 m of fall

VF^2 = 0 + 2 (9.81) (1.1547)
VF^2 = 22.65
VF = 4.76

4.76 / 2.9 = 1.64
It looks so right... but is so wrong. *sigh*
 
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Hi TG3! :smile:
TG3 said:
A uniform rod 5.8m long weighing 10kg is pivoted at its center and a small weight of mass 5.15 kg is rigidly attached to one end. You may neglect the size of the weight and assume it is located right at the end of the rod. It is held at a 37 degree angle at rest, then released.
What is the angular velocity when the rod is vertical?

VF^2 = VI^2 + 2A (X1-Xf) …

Sorry, not following your proof at all :confused:

using conservation of energy is right :smile:

but what's happened to the mass, and the moment of inertia ?
 
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