A uniform thin rod of mass ‘m’ and length λ is held horizontally by two vertical strings attached to the two ends. One of the string is cut. Find the angular acceleration soon after it is cut :
Text Solution
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Immediately after string connected to end B is cut, the rod has tendency to rotate about point A.
Torque on rod AB about axis passing through A and normal to plane of paper is
α = mg 
⇒ α = 
Aliter : Applying Newton’s law on center of mass
mg – T =ma .....(i)
Writing τ = I α about center of mass
T 
= 
....(ii)
Also a = 
α ....(iii)
From (i) , (ii) and (iii)
α = 
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