GATE ME 2021 Set 2 — Question 61
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Engineering Mechanics → Statics → Friction & Applications
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Question
A block of negligible mass rests on a surface that is inclined at to the horizontal plane as shown in the figure. When a vertical force of 900 N and a horizontal force of 750 N are applied, the block is just about to slide.
The coefficient of static friction between the block and surface is _______ (round off to two decimal places).
Correct answer
0.16 to 0.19
Solution
Resolve the applied forces into components perpendicular and parallel to the inclined plane.Normal force ():Net force along the plane ():
Assuming the block is about to slide up the plane:At the point of sliding, the friction force . Since the block is about to slide, the net force along the plane must be balanced by the limiting friction:Rounding off to two decimal places, we get 0.17.
Assuming the block is about to slide up the plane:At the point of sliding, the friction force . Since the block is about to slide, the net force along the plane must be balanced by the limiting friction:Rounding off to two decimal places, we get 0.17.
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