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Icetray
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Hi guys,
I was doing my lab report and stumbled onto this question and I would really appreciate it if you guys could assist me on this. (:
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.
From Exercise 4:
T = 2π√(I/(MgLg))
I'm guessing that I will just be M for a simple pendulum and I'll end up with:
T = 2π√(1/(gLg ))
which doesn't make much sense.
Looking forward to your replies! (:
I was doing my lab report and stumbled onto this question and I would really appreciate it if you guys could assist me on this. (:
Homework Statement
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.
Homework Equations
From Exercise 4:
T = 2π√(I/(MgLg))
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/(gLg ))
which doesn't make much sense.
Looking forward to your replies! (:
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