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Work done in moving a body up a rough inclined plane
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Chapter:Friction : Derive the expression of work done in moving a body up a rough inclined plane :: If the angle of inclination (θ) is less than the angle of repose(θr), a body is at rest on the inclined plane. When the body is at the verge of moving up the inclined plane due to application of an external force Fex ,
Applied external force = Net internal force in the opposite direction ;
Fex= mgsinθ+F ; Fex = mg(sinθ+ μ cosθ) ; Where the limiting friction is F = μ .R acts down the inclined plane & R = mg cosθ which is the normal reaction ... The body gets displaced up the rough inclined plane for a displacement S under the action of applied external force Fex and work done is W= Fex.S ;
W = mg(sinθ+ μ cosθ).S ...
Applied external force = Net internal force in the opposite direction ;
Fex= mgsinθ+F ; Fex = mg(sinθ+ μ cosθ) ; Where the limiting friction is F = μ .R acts down the inclined plane & R = mg cosθ which is the normal reaction ... The body gets displaced up the rough inclined plane for a displacement S under the action of applied external force Fex and work done is W= Fex.S ;
W = mg(sinθ+ μ cosθ).S ...
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