A disk of radius 2R and mass 'M' is hinged from its center. If a disk of radius R been removed such that radius of bigger disk behave as a diameter of the disk and it is welded on the opposi

Question

A disk of radius 2R and mass 'M' is hinged from its center. If a disk of radius R been removed such that radius of bigger disk behave as a diameter of the disk and it is welded on the opposite side as shown in diagram.Find the angular acceleration of the system in case-II if the system is released from the given position about the axis passing through O and perpendicular to the plane of disc:-

TestHub · Accepted Answer

x CM ​ = M ( M /4 ) ⋅ R + ( M /4 ) ⋅ R ​ = 2 2 R ​ = R τ = M g ⋅ 2 R ​ α = I τ ​ α = 2 M R 2 M g ⋅ ( R /2 ) ​ = 4 R g ​

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