The upper half of an inclined plane with inclination \phi is perfectly smooth while the lower half is rough .A body starting from rest at the top will again come to rest at the bottom if the coefficient of friction for the lower half is given by
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mgsin°.L = mgcos°.L/2
friction = mgsin°.L/mgcos°.L/2
= 2.sin°/cos°
friction = 2tan°
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