A uniform rod of mass m and length l is suspended by two strings at its ends as shown when one of the string is cut, the rod starts falling with an initial angular acceleration?
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We can start answering this equation by using,
Torque (T) = Moment of Inertia (I) x Angular acceleration (α)
T = Iα ---------(1)
For this question,
I = (1/12)m ; (Use the Moment of Inertia of the rod from one end, not from the middle)
T = mg x (L/2)
We can substitute above results for equation (1),
mg x (L/2) = (1/12)m x α
α = 6g/L
α = (6 x 10)/L rad
α = 60/L rad
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