MHT CET 2024 Physics question
A carpet of mass 'M' made of an material is rolled along is length in the form of a cylinder of radius 'R' and kept above the rough floor. If the carpet is unrolled without sliding to a radius ' '. The change potential energy is (g = acceleration due to gravity)
Answer: (B)
Solution
The carpet is a thin sheet, so the mass remaining in the roll is proportional to the cross-sectional area of the roll. Initially the whole mass forms a cylinder of radius whose centre of mass is at height : . When the radius has reduced to the roll contains
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