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SUBJECT :- ENGINEERING MECHANICS PRESENTED BY Dolly vyas Branch EC 8TH SEM Adina institute of science &technology QUESTION The smooth circular cylinders of figure each of weight w = 100 N and radius r = 6 cm are connected by string AB of length l = 16cm and upon a horizontal plane, supporting a third cylinder of weight Q3= 200 N and radius r = 6cm above them. Find the tension S in the string AB and the pressure produced by the floor at points of contact D and E ? SOLUTION Given :Two smooth cylinders weight (Q1,Q2) = 100 N Radius of the all cylinders = 6 cm String AB length = 16 cm upper cylinder weight (Q3) = 200 N Tension S in the string = ? Pressure produced by the floor at points of contact D and E = ? In this we use lami’s therom :- Now we find the value of Ra and Rb For finding the value we make a free body diagram of cylinder Q3 By that we get the value of the angle between Rb and known weight And the angle between Ra and known weight And the angle between Ra and Rb After that we get the value of Ra and Rb = 1.55 N This Ra and Rb are the tension S = 1.55 N Since both the smooth sylinder are in the point contect of the surface so the value of the pressure at the point contect will be Ra + Rb = weights of all cylinder Since Ra and Rb are equal so 2 Ra = 400 n Ra = 200 paskal Here Ra be the pressure