The angular frequency of oscillation of the object, ω is calculated to be= √3g / 2√ 2 L.
Number of oscillations per second of a particle executing simple harmonic motion is called angular frequency.
Given acceleration due to gravity is g,
=mg. L/2 {-2/√2* sinФ
When L- shaped object is slightly displaced by an angle, then
τ0 =mg. L/2 [(sin 45° - Ф) - (sin 45° + Ф)]
= 2 (mL²/3) α
= - (m*g*L Ф)/√3
α = -3g Ф/ 2√ 2 L
ω= √3g / 2√ 2 L
The angular frequency of oscillation of the object, ω= √3g / 2√ 2 L.
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