An inclined plane is sliding, and accelerating, on a horizontal frictionless sur

Question

An inclined plane is sliding, and accelerating, on a horizontal frictionless surface. There is a block at rest on the sloping surface, held in place by static friction through the horizontal acceleration of the system. The coefficient of static friction between the block and the inclined plane is 0.625. The slope of the incline plane is 38.0 degrees with respect to the horizontal.

a.)What is minimum acceleration of the inclined plane for the square block not to slide?

b.)What is maximum acceleration of the inclined plane for the square block not to slide?

Explanation / Answer

a.)What is minimum acceleration of the inclined plane for the square block not to slide?

(A) Sine 38 = 0.61566, friction = 0.625; acceleration required. = -0.009338 =============answer)

b.)What is maximum acceleration of the inclined plane for the square block not to slide?

(B) Cosine 38= 0.7880, friction = 0.625; 0.7880-0.625= 0.1630 g max acceleration to avoid sliding.======answer)

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