(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

A rod of mass m and length L is suspended from one end, and swings as a pendulum (ignore friction from the hinge). It is released from rest when it forms an angle θ with respect to the vertical.

The moment of inertia of the rod about its rotation axis is mL^{2}/3.

What is the speed of the center of mass of the rod?

What is the angular speed of the rod?

What is the speed of the free end of the rod?

2. Relevant equations

3. The attempt at a solution

I don't even know where to start this question.

I want to use conservation of mechanical energy:

(1/2)Iω^{2}_{0}+ mgh_{0}= (1/2)Iω^{2}_{f}+ mgh_{f}

Then ω_{0}is zero so it starts from rest. Also, make the 0 height mark where the center of mass hits at the horizontal. So that leaves me with:

mgh_{0}= (1/2)Iω^{2}_{f}

But, how do I find the initial height!? and once I do that I need to somehow get speed out of ω.

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# Homework Help: Rod Pendulum (high school circular motion)

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