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A particle of mass 5kg is held at rests on a slope inclined at 30 degrees to the horizontal. The coefficient of friction for the slope is 0.7, determine whether the particle will move when released.

Frictional force acting:F_Max= uR = 0.7 x 5 x 9.81 x cos(30) F_Max = 29.7NWeight acting down the slope:F = 5 x 9.81 x sin(30)F = 24.5NFrictional max is greater than the weight acting down the slope, therefore the particle will not move when released.

Answered by Myles I. • Maths tutor

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A particle of mass 5kg is held at rests on a slope inclined at 30 degrees to the horizontal. The coefficient of friction for the slope is 0.7, determine whether the particle will move when released.

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