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I was doing my lab report and stumbled onto this question and I would really appriciate it if you guys could assist me on this. (:

1. The problem statement, all variables and given/known data

For a simple pendulum consisting of a mass M attached to a very thin light string of length L, in the absence of air resistance, derive the equation of motion for the simple pendulum in terms of the angular displacement θ relative to its equilibrium position? For “small” oscillation, namely θ is less than 5˚, what is the period T of oscillation? Compare with the derived result in Exercise 4 above.

2. Relevant equations

From Exercise 4:

T = 2π√(I/(MgL_{g}))

3. The attempt at a solution

I'm guessing that I will just be M for a simple pendulum and I'll end up with:

T = 2π√(1/(gL_{g}))

which doesn't make much sense.

Looking forward to your replies! (:

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# Lab Question - Pendulum

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