A block of mass m is kept on inclined plane of a lift moving down with acceleration of what should be coefficient of friction to let the block move down the inclined plane with constant velocity?
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From the free body diagrams as in the diagram,
mg cos θ − ma cos θ=N
⇒N=m(g−a) cos θ
∴Ffri=μN=μ{m(g−a) cos θ}
⇒mg sin θ − ma sin θ
=μ{m(g−a) cos θ}
⇒sin θ=μcos θ
⇒μ=sin θ/cos θ=tan θ
⇒μ=tan θ
mg cos θ − ma cos θ=N
⇒N=m(g−a) cos θ
∴Ffri=μN=μ{m(g−a) cos θ}
⇒mg sin θ − ma sin θ
=μ{m(g−a) cos θ}
⇒sin θ=μcos θ
⇒μ=sin θ/cos θ=tan θ
⇒μ=tan θ
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so this is the correct answer
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