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Sagot :
The frequency of the oscillation is; (1/2π)√[3g/(L√2)]
We are given;
Mass of both identical rods = m
Length of both identical rods = L
The image of the 2 identical rods are missing and so i have attached it.
- If the rods join at say an angle of 90°, then it means that moment of inertia of the combined system is;
I = ⅓mL² + ⅓mL²
I = ⅔mL²
- Now, the effective length of the pendulum will be given as;
Eff. Length = L cos 45°
Thus; Eff. Length; l_eff = L/√2
Now, formula for time period is;
T = 2π√(I/Mgl_eff)
Where M is total mass = 2m
Thus:
T = 2π√(⅔mL²/(2gmL/√2)
T = 2π√[(L√2)/(3g)]
We know that frequency is; f = 1/T
Thus;
f = (1/2π)√[3g/(L√2)]
Read more about moment of inertia at; https://brainly.com/question/19548280

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