Question

when an object slides at constant speed down an inclined plane, the coefficient of friction may

be approximately be ​

Answer 1

Answer:

There are three forces acting on the object: the force of gravity – mg, the normal force – N and the frictional force – fk.

According to the Newton’s First Law of motion, if the object moves at constant velocity then net force on an object is zero.

Therefore, the sum of the projections of the forces along each axis is zero and the Newton’s equations of motion are

Y – axis :    N – m*g*cos(α) = 0

X – axis :    – fk + m*g*sin(α) = 0

Let’s use the fact that    fk = μk*N

Hence,

– μk*m*g*cos(α) + m*g*sin(α) = 0

Finally,

μk = tan(α)

Explanation:

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