A rod of mass M & length ℓ is hinged at one of the ends. At another end, disk of mass M and radius R is attached and it can freely rotate about its centre (that is point of attachment with rod). For s

Question

A rod of mass M & length ℓ is hinged at one of the ends. At another end, disk of mass M and radius R is attached and it can freely rotate about its centre (that is point of attachment with rod). For small oscillation about hinge what is time period of the system ?

TestHub · Accepted Answer

Ans. (B) T = 2 π mgd I ​ ​ I = M ℓ 2 + 3 M ℓ 2 ​ = 3 4 ​ m ℓ 2 T = 2 π 2 mg × 4 3 ℓ ​ 3 4 ​ M ℓ 2 ​ ​ = 2 π 3 × 2 × 3 Mg 4 m ℓ 2 × 4 ​ ​ = 2 π 9 g 8 ℓ ​ ​

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