GATE ME 2020 Set 2 — Question 15
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Engineering Mechanics → Statics → Free-Body Diagrams & Equilibrium
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Question
An attempt is made to pull a roller of weight over a curb (step) by applying a horizontal force as shown in the figure.
The coefficient of static friction between the roller and the ground (including the edge of the step) is . Identify the correct free body diagram (FBD) of the roller when the roller is just about to climb over the step.
Correct answer
(B) [figure]
Solution
When the roller is just about to climb over the step, it is on the verge of losing contact with the horizontal ground. At this instant, the normal reaction force and the friction force from the ground become zero ( and ). The only forces acting on the roller are its weight acting downwards, the applied horizontal force , and the reaction force from the edge of the step. Option (B) correctly represents the free body diagram under these conditions.
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