JEE Main 2024 Physics question
A circular disc reaches from top to bottom of an inclined plane of length ℓ. When it slips down the plane, if takes t s. When it rolls down the plane then it takes (α/ t s, where α is ..........
Answer: 3
Solution
Slipping: a = g sinθ, so ℓ = ½at² and t = √(2ℓ/(g sinθ)). Rolling (k² = R²/2 for a disc): a′ = g sinθ/(1 + k²/R²) = (2/3)g sinθ, so
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