A block is at rest on a plank whose angle can be varied. The anale is gradually

Question

A block is at rest on a plank whose angle can be varied. The anale is gradually increased from 0 dea. At 30.9°, the block starts to slide down the incline, traveling 3.50 m down the incline in 2.10 s. Calculate the coefficient of static friction between the block and the plank. Motion of a block IS OC 0.399 If static friction acts on the block, does it move? What is its acceleration in this case? . Tries 1/12 Calculate the kinetic coefficent of friction between the block and the plank. Tries 0/12

Explanation / Answer

A)

Given,

Theta = 30.9

Coefficient of static friction, u = tan(30.9) = 0.598

B)

S = ut + 0.5at^2

3.5 = 0 + 0.5 x a x 2.1^2

Acceleration, a = 1.587 m/s^2

a = g sin(theta) - u cos(theta)

u g cos(theta) = 5.03 - 1.587 = 3.445

Coefficient of kinetic friction, u = 3.445/(9.8 cos30.9) = 0.41

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