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Questions  

Two forces F and 2F are applied on a rod of length l and mass m, as shown. The angular acceleration of the rod is

a
8Fml(−k^)
b
4Fml(k^)
c
4Fml(−k^)
d
8Fml(k^)

detailed solution

Correct option is A

Force equation F−2F=ma⇒a=−FmHence, a→=−Fmi^Torque equation about center of massF⋅l2+23l−l2=ICαF⋅l2+Fl6=ml212⋅α23Fl=ml212⋅α⇒α=8Fml Hence, α→=−8Fmlk^

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