One end of a horizontal uniform beam of weight W and length L is hinged on a vertical wall at point O and its other end is supported by a light inextensible rope. The other end of the rope is fixed at point Q, at a height L above the hinge at point O. A block of weight αW is attached at the point P of the beam, as shown in the figure (not$$ to $$scale). The rope can sustain a maximum tension of (22)W$$. Which of the following $$statement(s) $$is(are)$$ correct?

Question

One end of a horizontal uniform beam of weight W and length L is hinged on a vertical wall at point O and its other end is supported by a light inextensible rope. The other end of the rope is fixed at point Q, at a height L above the hinge at point O. A block of weight αW is attached at the point P of the beam, as shown in the figure (not$$ to $$scale). The rope can sustain a maximum tension of (22)W$$. Which of the following $$statement(s) $$is(are)$$ correct?

Infinity Learn · Accepted Answer

$$T2L=$$ω$$L2+$$αω$$LT=2$$ωα$$+12$$. For α$$=12T=$$ω$$2T2+RY=$$ω$$+$$αω⇒$$RY=$$ω$$2Rx=T2=$$ωα$$+12$$ For α$$=12$$⇒$$RX=$$ω For α>$$1.5$$⇒T>$$22$$ω

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