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In order to determine the coefficients of friction between rubber and various surfaces, a student uses a rubber eraser and an incline. In one experiment, the eraser begins to slip down the incline when the angle of inclination is 36.7� and then moves down the incline with constant speed when the angle is reduced to 30.1�. From these data, determine the coefficients of static and kinetic friction for this experiment.

User BassMHL
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1 Answer

4 votes

Answer:

μs = 0.75

μk = 0.58

Step-by-step explanation:

From a force diagram:


m*g*sin \theta - Ff=m*a (1)


N-m*g*cos \theta = 0 (2)

When it starts slipping, friction force is the maximum and acceleration is 0. Replacing these conditions on (1):


m*g*sin \theta - \mu*m*g*cos \theta=0 Solving for μs:


\mu=tan \theta

μs = tan 36.7° = 0.75

When it moves at constant speed, friction force is kinetic friction and acceleration is 0. With these conditions the coefficient is:

μk = tan 30.1° = 0.58

User Leerob
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