GATE CE 2020 Set 1 — Question 39
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Structural Engineering → Statics & Rigid Bodies → Equilibrium Equations
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Question
A rigid weightless platform PQRS shown in the figure (not drawn to the scale) can slide freely in the vertical direction. The platform is held in position by the weightless member OJ and four weightless, frictionless rollers. Points O and J are pin connections. A block of rests on the platform as shown in the figure
The magnitude of horizontal component of the reaction (in kN) at pin O, is
Correct answer
(B) 120
Solution
Consider the equilibrium of the platform PQRS. Since it can slide freely vertically, the sum of vertical forces must be zero.
.
From the geometry, .
.
The horizontal component of the reaction at O is .
.
From the geometry, .
.
The horizontal component of the reaction at O is .
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