Project ForgeA beam of negligible mass is hinged at support P and has a roller support Q as shown: the beam runs horizontally 5 m from P to R, then 5 m further to a vertical member rising 4 m to roller support Q (which reacts horizontally). A point load of 1200 N is applied downward at point R. The magnitude of the reaction force at support Q is __________ N.
Explanation
Taking moments about the pinned support P (which contributes no moment about itself): the 1200 N load at R (5 m horizontal from P) contributes a moment of 1200×5=6000 N·m. The horizontal reaction R_Q at Q acts at a vertical offset of 4 m above P's level, contributing moment R_Q×4. Setting these equal for equilibrium: R_Q×4=6000, so R_Q=1500 N.
Source: GATE ME 2020 Session 2 (ME-2) (2020)
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