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authorprashantsinalkar2018-02-03 11:01:52 +0530
committerprashantsinalkar2018-02-03 11:01:52 +0530
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+clear
+//
+
+// A hollow right circular cylinder of radius 800 mm is open at both ends and rests on a smooth horizontal plane. Inside the cylinder there are two spheres having weights 1 kN and 3 kN and radii 400 mm and 600 mm, respectively. The lower sphere also rests on the horizontal plane.
+// Join the centres of spheres, O1 and O2 and drop O1D perpendicular to horizontal through O2.
+
+//variable declaration
+R=800.0
+W1=1.0
+r1=400.0
+W2=3.0
+r2=600.0
+O1O2=1000 //mm
+O2D=600 //mm
+
+//If alpha is the inclination of O2O1 to horizontal
+alpha=acos(O2D/O1O2)
+
+//Free body diagrams of cylinder and spheres are shown. Considering the equilibrium of the spheres.
+//Sum of Moment at O2
+
+R1=W1*O2D/(O1O2*sin(alpha))
+//sum of vertical Fy & sum of horizontal forces Fx is zero
+//Assume direction of Fx is right
+//Assume direction of Fy is up
+
+R2=R1
+R3=W1+W2
+
+//Sum of Moment at A
+
+W=R1*O1O2*sin(alpha)/R
+
+printf("\n W= %0.2f KN",W)