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Questions  

 A uniform rod AB of length L is pivoted at one end A and hangs vertically. The time period of small oscillations about an axis passing through A and perpendicular to the rod is

a
2πLg
b
2πL2g
c
2π2L3g
d
π2Lg

detailed solution

Correct option is C

Torque = mgsinθL2 = I∝mgθL2 = mL23αα = 3g2Lθα = ω2θ,      ω= 3g2L

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