An object is placed on the surface of a smooth inclined plane of inclination ๐œƒ . It takes time t to reach the bottom . If the same object is allowed to slide down a rough inclined plane of same inclination ๐œƒ , so as to move the same distance , it takes time ‘nt’ to reach the bottom where n is a number greater than 1 . The coefficient of friction ๐œ‡ ๐‘–๐‘  ๐‘”๐‘–๐‘ฃ๐‘’๐‘› ๐‘๐‘ฆ : ๐œ‡ = tan⁡๐œƒ (1 - 1/๐‘›^2 ) ๐œ‡ = cot⁡๐œƒ (1 - 1/๐‘›^2 ) ๐œ‡ = tan⁡๐œƒ 〖"(1 - " 1/๐‘›^2 ")" 〗^(1/2) ๐œ‡ = cot⁡๐œƒ 〖"(1 − " 1/๐‘›^2 ")" 〗^(1/2)

ROHAN SIR 

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