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 ( 2 α ) 1/2 t s , where α is ___

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 ( 2 α ​ ) 1/2 t s , where α is _________

TestHub · Accepted Answer

For slipping ​ a = g sin θ ℓ = 2 1 ​ at 2 ⇒ t = g sin θ 2 ℓ ​ ​ ​ For rolling ​ a ′ = 1 + R 2 k 2 ​ g sin θ ​ [ k = 2 ​ R ​ ] ⇒ a ′ = 3 2 g sin θ ​ ℓ = 2 1 ​ a ′ ( t ′ ) 2 ⇒ t ′ = 2 g sin θ 6 ℓ ​ ​ = 2 α ​ ​ g sin θ 2 ℓ ​ ​ ⇒ α = 3 ​

Physics - Rotation Question with Solution | TestHub

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