GATE ME 2014 Set 4 — Question 50
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Engineering Mechanics → Statics → Free-Body Diagrams & Equilibrium
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Question
A ladder of length m and weight () N is resting against a wall. Assuming frictionless contact at the floor () and the wall (), the magnitude of the force (in newton) required to maintain equilibrium of the ladder is _______
Correct answer
399 to 401
Solution
To maintain equilibrium, the sum of moments about any point must be zero. Taking moments about point :The normal reaction at the wall acts horizontally at a height of m. The weight acts vertically downwards at the center of the ladder. From the geometry (ladder length m, height m), the horizontal distance of from the wall is m. Thus, the horizontal distance of the center of gravity from is m.For horizontal equilibrium:
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